{"id":"https://openalex.org/W2041306260","doi":"https://doi.org/10.1155/2013/101439","title":"Existence and Convergence Theorems of Best Proximity Points","display_name":"Existence and Convergence Theorems of Best Proximity Points","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W2041306260","doi":"https://doi.org/10.1155/2013/101439","mag":"2041306260"},"language":"en","primary_location":{"id":"doi:10.1155/2013/101439","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2013/101439","pdf_url":"https://downloads.hindawi.com/journals/jam/2013/101439.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"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"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/2013/101439.pdf","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/I4210129530","display_name":"Ayatollah Boroujerdi University","ror":"https://ror.org/0377qcz53","country_code":"IR","type":"education","lineage":["https://openalex.org/I4210129530"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Moosa Gabeleh","raw_affiliation_strings":["Department of Mathematics, Ayatollah Boroujerdi University, Boroujerd, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Ayatollah Boroujerdi University, Boroujerd, Iran","institution_ids":["https://openalex.org/I4210129530"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067484396","display_name":"Naseer Shahzad","orcid":"https://orcid.org/0000-0001-7155-5917"},"institutions":[{"id":"https://openalex.org/I185163786","display_name":"King Abdulaziz University","ror":"https://ror.org/02ma4wv74","country_code":"SA","type":"education","lineage":["https://openalex.org/I185163786"]}],"countries":["SA"],"is_corresponding":true,"raw_author_name":"Naseer Shahzad","raw_affiliation_strings":["Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia","institution_ids":["https://openalex.org/I185163786"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5067484396"],"corresponding_institution_ids":["https://openalex.org/I185163786"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":3.1357,"has_fulltext":true,"cited_by_count":9,"citation_normalized_percentile":{"value":0.90629292,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"2013","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":0.9998000264167786,"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":0.9998000264167786,"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":0.9775999784469604,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8359912633895874},{"id":"https://openalex.org/keywords/pointwise","display_name":"Pointwise","score":0.7803273797035217},{"id":"https://openalex.org/keywords/pointwise-convergence","display_name":"Pointwise convergence","score":0.707996129989624},{"id":"https://openalex.org/keywords/banach-space","display_name":"Banach space","score":0.6472781896591187},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.6356768608093262},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5719167590141296},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5087998509407043},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.48157811164855957},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.38057437539100647},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3660752773284912},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09327012300491333},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.07271376252174377}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8359912633895874},{"id":"https://openalex.org/C2777984123","wikidata":"https://www.wikidata.org/wiki/Q9248237","display_name":"Pointwise","level":2,"score":0.7803273797035217},{"id":"https://openalex.org/C27156116","wikidata":"https://www.wikidata.org/wiki/Q1778098","display_name":"Pointwise convergence","level":3,"score":0.707996129989624},{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.6472781896591187},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.6356768608093262},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5719167590141296},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5087998509407043},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.48157811164855957},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.38057437539100647},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3660752773284912},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09327012300491333},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07271376252174377},{"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/C2777894999","wikidata":"https://www.wikidata.org/wiki/Q4781758","display_name":"Approx","level":2,"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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2013/101439","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2013/101439","pdf_url":"https://downloads.hindawi.com/journals/jam/2013/101439.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"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"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/1394807745","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jam/1394807745","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:101439","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2013/101439.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:abe4ad7cabde4865a18936195e3f540e","is_oa":true,"landing_page_url":"https://doaj.org/article/abe4ad7cabde4865a18936195e3f540e","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 2013 (2013)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2013/101439","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2013/101439","pdf_url":"https://downloads.hindawi.com/journals/jam/2013/101439.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"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"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":[{"score":0.41999998688697815,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320322322","display_name":"King Abdulaziz University","ror":"https://ror.org/02ma4wv74"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2041306260.pdf","grobid_xml":"https://content.openalex.org/works/W2041306260.grobid-xml"},"referenced_works_count":14,"referenced_works":["https://openalex.org/W99187563","https://openalex.org/W1968577377","https://openalex.org/W1991380580","https://openalex.org/W2023358569","https://openalex.org/W2025879094","https://openalex.org/W2043337340","https://openalex.org/W2067080690","https://openalex.org/W2089057727","https://openalex.org/W2089764555","https://openalex.org/W2140151765","https://openalex.org/W2143119422","https://openalex.org/W2325235747","https://openalex.org/W2545237021","https://openalex.org/W3048941290"],"related_works":["https://openalex.org/W2093422383","https://openalex.org/W2776640168","https://openalex.org/W2046496515","https://openalex.org/W2931079280","https://openalex.org/W2085510698","https://openalex.org/W2466242173","https://openalex.org/W4247762935","https://openalex.org/W1976342131","https://openalex.org/W4387514488","https://openalex.org/W992007432"],"abstract_inverted_index":{"The":[0],"aim":[1],"of":[2,16,36],"this":[3],"paper":[4],"is":[5],"to":[6],"prove":[7,32],"some":[8],"best":[9,37],"proximity":[10,38],"point":[11,39],"theorems":[12],"for":[13,40],"new":[14],"classes":[15],"cyclic":[17,21,27],"mappings,":[18],"called":[19],"pointwise":[20,26],"orbital":[22,28],"contractions":[23],"and":[24],"asymptotic":[25],"contractions.":[29],"We":[30],"also":[31],"a":[33],"convergence":[34],"theorem":[35],"relatively":[41],"nonexpansive":[42],"mappings":[43],"in":[44],"uniformly":[45],"convex":[46],"Banach":[47],"spaces.":[48]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":4}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}