{"id":"https://openalex.org/W4410630569","doi":"https://doi.org/10.3390/axioms14060400","title":"Extensions of G\u00f6hde and Kannan Fixed Point Theorems in Strictly Convex Banach Spaces","display_name":"Extensions of G\u00f6hde and Kannan Fixed Point Theorems in Strictly Convex Banach Spaces","publication_year":2025,"publication_date":"2025-05-23","ids":{"openalex":"https://openalex.org/W4410630569","doi":"https://doi.org/10.3390/axioms14060400"},"language":"en","primary_location":{"id":"doi:10.3390/axioms14060400","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14060400","pdf_url":"https://www.mdpi.com/2075-1680/14/6/400/pdf?version=1748011024","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/2075-1680/14/6/400/pdf?version=1748011024","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5076769437","display_name":"Moosa Gabeleh","orcid":"https://orcid.org/0000-0001-5439-1631"},"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/I4210129530","display_name":"Ayatollah Boroujerdi University","ror":"https://ror.org/0377qcz53","country_code":"IR","type":"education","lineage":["https://openalex.org/I4210129530"]}],"countries":["IR","ZA"],"is_corresponding":true,"raw_author_name":"Moosa Gabeleh","raw_affiliation_strings":["Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Pretoria 0204, South Africa","Department of Mathematics, Faculty of Basic Sciences, Ayatollah Boroujerdi University, Boroujerd 6919969737, Iran"],"raw_orcid":"https://orcid.org/0000-0001-5439-1631","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Pretoria 0204, South Africa","institution_ids":["https://openalex.org/I2802393258"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Basic Sciences, Ayatollah Boroujerdi University, Boroujerd 6919969737, Iran","institution_ids":["https://openalex.org/I4210129530"]}]},{"author_position":"last","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, Pretoria 0204, South Africa"],"raw_orcid":"https://orcid.org/0000-0002-9640-7846","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Pretoria 0204, South Africa","institution_ids":["https://openalex.org/I2802393258"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5076769437"],"corresponding_institution_ids":["https://openalex.org/I2802393258","https://openalex.org/I4210129530"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.15640589,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"14","issue":"6","first_page":"400","last_page":"400"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11777","display_name":"Fixed Point Theorems Analysis","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11777","display_name":"Fixed Point Theorems Analysis","score":0.9998999834060669,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9905999898910522,"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/T13080","display_name":"Advanced Differential Geometry Research","score":0.9890000224113464,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7315753698348999},{"id":"https://openalex.org/keywords/banach-space","display_name":"Banach space","score":0.666877806186676},{"id":"https://openalex.org/keywords/fixed-point-theorem","display_name":"Fixed-point theorem","score":0.6425060629844666},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5872583389282227},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.5774343609809875},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.49334970116615295},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.17391663789749146}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7315753698348999},{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.666877806186676},{"id":"https://openalex.org/C45962547","wikidata":"https://www.wikidata.org/wiki/Q1422068","display_name":"Fixed-point theorem","level":2,"score":0.6425060629844666},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5872583389282227},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.5774343609809875},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.49334970116615295},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.17391663789749146},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms14060400","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14060400","pdf_url":"https://www.mdpi.com/2075-1680/14/6/400/pdf?version=1748011024","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:0b46c16228794d0891eb0b1a6a2b0a69","is_oa":true,"landing_page_url":"https://doaj.org/article/0b46c16228794d0891eb0b1a6a2b0a69","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 14, Iss 6, p 400 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms14060400","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14060400","pdf_url":"https://www.mdpi.com/2075-1680/14/6/400/pdf?version=1748011024","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4410630569.pdf","grobid_xml":"https://content.openalex.org/works/W4410630569.grobid-xml"},"referenced_works_count":23,"referenced_works":["https://openalex.org/W1555689727","https://openalex.org/W1559180808","https://openalex.org/W1968577377","https://openalex.org/W2008181411","https://openalex.org/W2043337340","https://openalex.org/W2045744061","https://openalex.org/W2055182553","https://openalex.org/W2057288840","https://openalex.org/W2072623541","https://openalex.org/W2089057727","https://openalex.org/W2089764555","https://openalex.org/W2092370369","https://openalex.org/W2103679879","https://openalex.org/W2478302134","https://openalex.org/W4300863469","https://openalex.org/W4384205528","https://openalex.org/W4388666077","https://openalex.org/W4403306361","https://openalex.org/W4403403428","https://openalex.org/W4403903211","https://openalex.org/W4407083607","https://openalex.org/W6633310147","https://openalex.org/W6633714001"],"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/W2363849453","https://openalex.org/W1691643469"],"abstract_inverted_index":{"Let":[0],"nonempty":[1],"subsets":[2],"E":[3,54],"and":[4,23,42,55,108],"F":[5],"of":[6,31,47,63,88,105],"a":[7,15,37],"Banach":[8,82],"space":[9],"X":[10],"be":[11],"given,":[12],"along":[13],"with":[14,113],"mapping":[16,101],"S:E\u222aF\u2192E\u222aF":[17],"defined":[18,35,102],"as":[19,36],"noncyclic":[20,75,89,92],"when":[21],"S(E)\u2286E":[22],"S(F)\u2286F.":[24],"In":[25],"this":[26],"case,":[27],"an":[28,60],"optimal":[29,70],"pair":[30],"fixed":[32,45,65,71],"points":[33,46],"is":[34],"point":[38,66,72],"(p,q)\u2208E\u00d7F":[39],"where":[40],"p":[41],"q":[43],"are":[44],"S":[48],"that":[49],"estimate":[50],"the":[51,98],"distance":[52],"between":[53],"F.":[56],"This":[57],"article":[58],"explores":[59],"extended":[61],"version":[62],"G\u00f6hde\u2019s":[64],"problem":[67],"to":[68],"identify":[69],"pairs":[73],"for":[74],"relatively":[76,93],"nonexpansive":[77,95],"maps":[78],"in":[79],"strictly":[80],"convex":[81],"spaces,":[83],"while":[84],"introducing":[85],"new":[86],"classes":[87],"Kannan":[90,94],"contractions,":[91],"contractions":[96],"using":[97],"proximal":[99,106],"projection":[100],"on":[103],"union":[104],"pairs,":[107],"proving":[109],"additional":[110],"existence":[111],"results":[112],"supporting":[114],"examples.":[115]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}