{"id":"https://openalex.org/W4412641872","doi":"https://doi.org/10.3390/axioms14080561","title":"Related Fixed Points of Multivalued Mappings of Two Related Orbitally Complete Metric Spaces","display_name":"Related Fixed Points of Multivalued Mappings of Two Related Orbitally Complete Metric Spaces","publication_year":2025,"publication_date":"2025-07-24","ids":{"openalex":"https://openalex.org/W4412641872","doi":"https://doi.org/10.3390/axioms14080561"},"language":"en","primary_location":{"id":"doi:10.3390/axioms14080561","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14080561","pdf_url":"https://www.mdpi.com/2075-1680/14/8/561/pdf?version=1753322943","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/2075-1680/14/8/561/pdf?version=1753322943","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5067709253","display_name":"Hakan Karay\u0131lan","orcid":"https://orcid.org/0000-0002-0266-8106"},"institutions":[{"id":"https://openalex.org/I12387023","display_name":"Trakya University","ror":"https://ror.org/00xa0xn82","country_code":"TR","type":"education","lineage":["https://openalex.org/I12387023"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"Hakan Karay\u0131lan","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Trakya University, Edirne 22030, T\u00fcrkiye"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Trakya University, Edirne 22030, T\u00fcrkiye","institution_ids":["https://openalex.org/I12387023"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5067709253"],"corresponding_institution_ids":["https://openalex.org/I12387023"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":4.0672,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.92187873,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"14","issue":"8","first_page":"561","last_page":"561"},"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":0.9675999879837036,"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/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9150999784469604,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/metric-space","display_name":"Metric space","score":0.6834989190101624},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6327141523361206},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.5904642343521118},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.5006852149963379},{"id":"https://openalex.org/keywords/product-metric","display_name":"Product metric","score":0.4584718346595764},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3931838870048523},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.18402957916259766},{"id":"https://openalex.org/keywords/operations-management","display_name":"Operations management","score":0.045298993587493896},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.03402411937713623}],"concepts":[{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.6834989190101624},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6327141523361206},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.5904642343521118},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.5006852149963379},{"id":"https://openalex.org/C154497576","wikidata":"https://www.wikidata.org/wiki/Q7247777","display_name":"Product metric","level":3,"score":0.4584718346595764},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3931838870048523},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.18402957916259766},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.045298993587493896},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.03402411937713623}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms14080561","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14080561","pdf_url":"https://www.mdpi.com/2075-1680/14/8/561/pdf?version=1753322943","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:35852050bb314554aa9e47f4cc1dadaa","is_oa":true,"landing_page_url":"https://doaj.org/article/35852050bb314554aa9e47f4cc1dadaa","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 14, Iss 8, p 561 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms14080561","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14080561","pdf_url":"https://www.mdpi.com/2075-1680/14/8/561/pdf?version=1753322943","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/W4412641872.pdf","grobid_xml":"https://content.openalex.org/works/W4412641872.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W1542901103","https://openalex.org/W1966428183","https://openalex.org/W2053184045","https://openalex.org/W2063596528","https://openalex.org/W2085706830","https://openalex.org/W2121531140","https://openalex.org/W2523813595","https://openalex.org/W2742559939","https://openalex.org/W2789612071","https://openalex.org/W3113896315","https://openalex.org/W4255424642","https://openalex.org/W4299646137","https://openalex.org/W4302329233","https://openalex.org/W4392568257","https://openalex.org/W4393280029","https://openalex.org/W4403403542","https://openalex.org/W6632507086","https://openalex.org/W6713106449","https://openalex.org/W6773360566"],"related_works":["https://openalex.org/W4360593833","https://openalex.org/W2187494131","https://openalex.org/W2894868567","https://openalex.org/W44425574","https://openalex.org/W3183688441","https://openalex.org/W2350290471","https://openalex.org/W4249417488","https://openalex.org/W1553193670","https://openalex.org/W2381472184","https://openalex.org/W3012075926"],"abstract_inverted_index":{"In":[0],"the":[1,4,7,40,47],"present":[2],"paper,":[3],"concept":[5],"of":[6,11,39,46],"related":[8,22],"orbital":[9],"completeness":[10],"two":[12,58],"metric":[13],"spaces":[14],"for":[15,26],"multivalued":[16,27],"mappings":[17,28],"is":[18,29,50],"introduced.":[19],"A":[20,43],"new":[21],"fixed":[23],"point":[24],"theorem":[25,49],"proven,":[30],"and":[31,57],"some":[32],"important":[33],"results":[34],"are":[35,61],"obtained":[36],"as":[37,53],"corollaries":[38],"main":[41,48],"theorem.":[42],"single-valued":[44],"version":[45],"also":[51],"derived":[52],"a":[54],"simple":[55],"corollary,":[56],"illustrative":[59],"examples":[60],"provided.":[62]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-03-31T07:56:22.981413","created_date":"2025-10-10T00:00:00"}
