{"id":"https://openalex.org/W1969053203","doi":"https://doi.org/10.1155/2014/150941","title":"Best Proximity Point for Generalized Proximal Weak Contractions in Complete Metric Space","display_name":"Best Proximity Point for Generalized Proximal Weak Contractions in Complete Metric Space","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W1969053203","doi":"https://doi.org/10.1155/2014/150941","mag":"1969053203"},"language":"en","primary_location":{"id":"doi:10.1155/2014/150941","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/150941","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/150941.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2014/150941.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5081792390","display_name":"Erdal Karap\u0131nar","orcid":"https://orcid.org/0000-0002-6798-3254"},"institutions":[{"id":"https://openalex.org/I45542416","display_name":"Atilim University","ror":"https://ror.org/04pd3v454","country_code":"TR","type":"education","lineage":["https://openalex.org/I45542416"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"Erdal Karap\u0131nar","raw_affiliation_strings":["Department of Mathematics, Atilim University, Incek, 06836 Ankara, Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Atilim University, Incek, 06836 Ankara, Turkey","institution_ids":["https://openalex.org/I45542416"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009497969","display_name":"V. Pragadeeswarar","orcid":"https://orcid.org/0000-0002-4500-7375"},"institutions":[{"id":"https://openalex.org/I4076070","display_name":"Bharathidasan University","ror":"https://ror.org/02w7vnb60","country_code":"IN","type":"education","lineage":["https://openalex.org/I4076070"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"V. Pragadeeswarar","raw_affiliation_strings":["Department of Mathematics, Bharathidasan University, Tiruchirappalli, Tamil Nadu 620 024, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Bharathidasan University, Tiruchirappalli, Tamil Nadu 620 024, India","institution_ids":["https://openalex.org/I4076070"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018566037","display_name":"M. Marudai","orcid":null},"institutions":[{"id":"https://openalex.org/I4076070","display_name":"Bharathidasan University","ror":"https://ror.org/02w7vnb60","country_code":"IN","type":"education","lineage":["https://openalex.org/I4076070"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"M. Marudai","raw_affiliation_strings":["Department of Mathematics, Bharathidasan University, Tiruchirappalli, Tamil Nadu 620 024, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Bharathidasan University, Tiruchirappalli, Tamil Nadu 620 024, India","institution_ids":["https://openalex.org/I4076070"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5081792390"],"corresponding_institution_ids":["https://openalex.org/I45542416"],"apc_list":{"value":1130,"currency":"USD","value_usd":1130},"apc_paid":{"value":1130,"currency":"USD","value_usd":1130},"fwci":2.1351,"has_fulltext":true,"cited_by_count":11,"citation_normalized_percentile":{"value":0.85041571,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"2014","issue":null,"first_page":"1","last_page":"6"},"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"}}],"keywords":[{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.8211157321929932},{"id":"https://openalex.org/keywords/metric-space","display_name":"Metric space","score":0.7682123184204102},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7446069717407227},{"id":"https://openalex.org/keywords/contraction","display_name":"Contraction (grammar)","score":0.5364819765090942},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.5311678051948547},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.5262388586997986},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.4884473383426666},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.48783162236213684},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.48503512144088745},{"id":"https://openalex.org/keywords/complete-metric-space","display_name":"Complete metric space","score":0.4310094714164734},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.41969069838523865},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4036864638328552},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32981953024864197},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3118446469306946},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2412300705909729},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10187125205993652},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.058786869049072266}],"concepts":[{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.8211157321929932},{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.7682123184204102},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7446069717407227},{"id":"https://openalex.org/C163415756","wikidata":"https://www.wikidata.org/wiki/Q126473","display_name":"Contraction (grammar)","level":2,"score":0.5364819765090942},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.5311678051948547},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.5262388586997986},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.4884473383426666},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.48783162236213684},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.48503512144088745},{"id":"https://openalex.org/C93361540","wikidata":"https://www.wikidata.org/wiki/Q848569","display_name":"Complete metric space","level":3,"score":0.4310094714164734},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.41969069838523865},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4036864638328552},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32981953024864197},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3118446469306946},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2412300705909729},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10187125205993652},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.058786869049072266},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C126322002","wikidata":"https://www.wikidata.org/wiki/Q11180","display_name":"Internal medicine","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2014/150941","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/150941","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/150941.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1395855284","is_oa":false,"landing_page_url":"https://projecteuclid.org/euclid.jam/1395855284","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:RePEc:hin:jnljam:150941","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2014/150941.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:5ec3b9a4f98d4fba86032c85a93e3ad9","is_oa":true,"landing_page_url":"https://doaj.org/article/5ec3b9a4f98d4fba86032c85a93e3ad9","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":"Journal of Applied Mathematics, Vol 2014 (2014)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2014/150941","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/150941","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/150941.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1969053203.pdf","grobid_xml":"https://content.openalex.org/works/W1969053203.grobid-xml"},"referenced_works_count":17,"referenced_works":["https://openalex.org/W1245420","https://openalex.org/W1968577377","https://openalex.org/W1972460502","https://openalex.org/W1976392664","https://openalex.org/W1977620557","https://openalex.org/W1983724394","https://openalex.org/W1986066572","https://openalex.org/W2013945501","https://openalex.org/W2017013407","https://openalex.org/W2020800696","https://openalex.org/W2040414931","https://openalex.org/W2064008630","https://openalex.org/W2103510752","https://openalex.org/W2103679879","https://openalex.org/W2112243044","https://openalex.org/W2141610850","https://openalex.org/W2339725961"],"related_works":["https://openalex.org/W4297851895","https://openalex.org/W2045467581","https://openalex.org/W1492993649","https://openalex.org/W1608645710","https://openalex.org/W3153036459","https://openalex.org/W1141707765","https://openalex.org/W2929254961","https://openalex.org/W2032835035","https://openalex.org/W1985946497","https://openalex.org/W4293280731"],"abstract_inverted_index":{"We":[0,50],"introduce":[1],"a":[2,46],"new":[3],"class":[4],"of":[5,18,28,65],"nonself-mappings,":[6],"generalized":[7],"proximal":[8],"weak":[9],"contraction":[10],"mappings,":[11],"and":[12,16],"prove":[13],"the":[14,26,66,70],"existence":[15],"uniqueness":[17],"best":[19,47],"proximity":[20,48],"point":[21],"for":[22],"such":[23,39],"mappings":[24],"in":[25,69],"context":[27],"complete":[29],"metric":[30],"spaces.":[31],"Moreover,":[32],"we":[33],"state":[34],"an":[35,40,53,63],"algorithm":[36],"to":[37,55],"determine":[38],"optimal":[41],"approximate":[42],"solution":[43],"designed":[44],"as":[45],"point.":[49],"establish":[51],"also":[52],"example":[54],"illustrate":[56],"our":[57],"main":[58],"results.":[59],"Our":[60],"result":[61],"provides":[62],"extension":[64],"related":[67],"results":[68],"literature.":[71]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":4},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}
