{"id":"https://openalex.org/W4304585150","doi":"https://doi.org/10.3390/axioms11100545","title":"Approximating a Common Solution of Monotone Inclusion Problems and Fixed Point of Quasi-Pseudocontractive Mappings in CAT(0) Spaces","display_name":"Approximating a Common Solution of Monotone Inclusion Problems and Fixed Point of Quasi-Pseudocontractive Mappings in CAT(0) Spaces","publication_year":2022,"publication_date":"2022-10-11","ids":{"openalex":"https://openalex.org/W4304585150","doi":"https://doi.org/10.3390/axioms11100545"},"language":"en","primary_location":{"id":"doi:10.3390/axioms11100545","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms11100545","pdf_url":"https://www.mdpi.com/2075-1680/11/10/545/pdf?version=1665626143","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2075-1680/11/10/545/pdf?version=1665626143","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5060230017","display_name":"P. V. Ndlovu","orcid":"https://orcid.org/0000-0002-0305-7497"},"institutions":[{"id":"https://openalex.org/I2802393258","display_name":"Sefako Makgatho Health Sciences University","ror":"https://ror.org/003hsr719","country_code":"ZA","type":"education","lineage":["https://openalex.org/I2802393258"]}],"countries":["ZA"],"is_corresponding":false,"raw_author_name":"Professer Vogani Ndlovu","raw_affiliation_strings":["Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, P.O. Box 94, Medunsa 0204, South Africa"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, P.O. Box 94, Medunsa 0204, South Africa","institution_ids":["https://openalex.org/I2802393258"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014789301","display_name":"Lateef Olakunle Jolaoso","orcid":"https://orcid.org/0000-0002-4838-7465"},"institutions":[{"id":"https://openalex.org/I2802393258","display_name":"Sefako Makgatho Health Sciences University","ror":"https://ror.org/003hsr719","country_code":"ZA","type":"education","lineage":["https://openalex.org/I2802393258"]},{"id":"https://openalex.org/I43439940","display_name":"University of Southampton","ror":"https://ror.org/01ryk1543","country_code":"GB","type":"education","lineage":["https://openalex.org/I43439940"]}],"countries":["GB","ZA"],"is_corresponding":true,"raw_author_name":"Lateef Olakunle Jolaoso","raw_affiliation_strings":["Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, P.O. Box 94, Medunsa 0204, South Africa","School of Mathematical Sciences, University of Southampton, Southampton SO17 1BJ, UK"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, P.O. Box 94, Medunsa 0204, South Africa","institution_ids":["https://openalex.org/I2802393258"]},{"raw_affiliation_string":"School of Mathematical Sciences, University of Southampton, Southampton SO17 1BJ, UK","institution_ids":["https://openalex.org/I43439940"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075099807","display_name":"Maggie Aphane","orcid":"https://orcid.org/0000-0002-9640-7846"},"institutions":[{"id":"https://openalex.org/I2802393258","display_name":"Sefako Makgatho Health Sciences University","ror":"https://ror.org/003hsr719","country_code":"ZA","type":"education","lineage":["https://openalex.org/I2802393258"]}],"countries":["ZA"],"is_corresponding":false,"raw_author_name":"Maggie Aphane","raw_affiliation_strings":["Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, P.O. Box 94, Medunsa 0204, South Africa"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, P.O. Box 94, Medunsa 0204, South Africa","institution_ids":["https://openalex.org/I2802393258"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014029535","display_name":"Safeer Hussain Khan","orcid":"https://orcid.org/0000-0003-2978-1974"},"institutions":[{"id":"https://openalex.org/I43879129","display_name":"Government College University, Lahore","ror":"https://ror.org/040gec961","country_code":"PK","type":"education","lineage":["https://openalex.org/I43879129"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Safeer Hussein Khan","raw_affiliation_strings":["Abdus Salam School of Mathematical Sciences, GC University, Lahore 54000, Pakistan"],"affiliations":[{"raw_affiliation_string":"Abdus Salam School of Mathematical Sciences, GC University, Lahore 54000, Pakistan","institution_ids":["https://openalex.org/I43879129"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5014789301"],"corresponding_institution_ids":["https://openalex.org/I2802393258","https://openalex.org/I43439940"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.1461,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.49673646,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"11","issue":"10","first_page":"545","last_page":"545"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11777","display_name":"Fixed Point Theorems Analysis","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.982699990272522,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.7500993013381958},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.7301066517829895},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.7163780927658081},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5982385873794556},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5305571556091309},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.49578580260276794},{"id":"https://openalex.org/keywords/fixed-point-theorem","display_name":"Fixed-point theorem","score":0.41780656576156616},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.30250614881515503},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.28592056035995483},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2670617401599884},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08178532123565674},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06076157093048096}],"concepts":[{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.7500993013381958},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.7301066517829895},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.7163780927658081},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5982385873794556},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5305571556091309},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.49578580260276794},{"id":"https://openalex.org/C45962547","wikidata":"https://www.wikidata.org/wiki/Q1422068","display_name":"Fixed-point theorem","level":2,"score":0.41780656576156616},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.30250614881515503},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.28592056035995483},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2670617401599884},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08178532123565674},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06076157093048096},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/axioms11100545","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms11100545","pdf_url":"https://www.mdpi.com/2075-1680/11/10/545/pdf?version=1665626143","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:7002e58e9708460ba4a5cf17c74ddaa9","is_oa":true,"landing_page_url":"https://doaj.org/article/7002e58e9708460ba4a5cf17c74ddaa9","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 11, Iss 10, p 545 (2022)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2075-1680/11/10/545/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/axioms11100545","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms; Volume 11; Issue 10; Pages: 545","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/axioms11100545","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms11100545","pdf_url":"https://www.mdpi.com/2075-1680/11/10/545/pdf?version=1665626143","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.7900000214576721}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4304585150.pdf","grobid_xml":"https://content.openalex.org/works/W4304585150.grobid-xml"},"referenced_works_count":28,"referenced_works":["https://openalex.org/W988252014","https://openalex.org/W1982648068","https://openalex.org/W1996970275","https://openalex.org/W2031780390","https://openalex.org/W2037156580","https://openalex.org/W2038497950","https://openalex.org/W2043548224","https://openalex.org/W2058817231","https://openalex.org/W2064507512","https://openalex.org/W2070694134","https://openalex.org/W2134086356","https://openalex.org/W2134851358","https://openalex.org/W2523198149","https://openalex.org/W2903211710","https://openalex.org/W2942267486","https://openalex.org/W2963804953","https://openalex.org/W2964029293","https://openalex.org/W2980153161","https://openalex.org/W3004514258","https://openalex.org/W3020994601","https://openalex.org/W3026248761","https://openalex.org/W3101010777","https://openalex.org/W3111933681","https://openalex.org/W3116960990","https://openalex.org/W3198056708","https://openalex.org/W3207212243","https://openalex.org/W4239526519","https://openalex.org/W6747890676"],"related_works":["https://openalex.org/W2846516035","https://openalex.org/W4249977926","https://openalex.org/W2585118952","https://openalex.org/W2012141574","https://openalex.org/W1606221119","https://openalex.org/W2354765335","https://openalex.org/W3123504591","https://openalex.org/W2369544116","https://openalex.org/W1691643469","https://openalex.org/W2985828462"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"aimed":[4],"to":[5,91],"introduce":[6],"a":[7,19,25],"new":[8],"viscosity-type":[9],"approximation":[10],"method":[11],"for":[12],"finding":[13],"the":[14,40,82,93,98],"common":[15],"fixed":[16],"point":[17],"of":[18,21,27,42,97],"class":[20,41],"quasi-pseudocontractive":[22,43],"mapping":[23,44],"and":[24,61,85,95],"system":[26],"monotone":[28],"inclusion":[29],"problems":[30],"in":[31,45],"CAT(0)":[32,46],"spaces.":[33],"We":[34],"proved":[35,76],"some":[36,78,86],"fixed-point":[37],"properties":[38],"concerning":[39],"spaces,":[47],"which":[48,64],"is":[49,75],"more":[50],"general":[51],"than":[52],"many":[53],"other":[54,69],"mappings":[55,63],"such":[56],"as":[57],"nonexpansive,":[58],"quasi-nonexpansive,":[59],"pseudocontractive":[60],"demicontractive":[62],"have":[65],"been":[66],"studied":[67],"by":[68],"authors.":[70],"A":[71],"strong":[72],"convergence":[73],"result":[74],"under":[77],"mild":[79],"conditions":[80],"on":[81],"control":[83],"sequences":[84],"numerical":[87],"examples":[88],"were":[89],"presented":[90],"illustrate":[92],"performance":[94],"efficiency":[96],"proposed":[99],"method.":[100]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
