{"id":"https://openalex.org/W2060987506","doi":"https://doi.org/10.1155/2013/134712","title":"A Unique Coupled Common Fixed Point Theorem for Symmetric<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" id=\"M1\"><mml:mo stretchy=\"false\">(</mml:mo><mml:mi>\u03c6</mml:mi><mml:mo>,</mml:mo><mml:mi>\u03c8</mml:mi><mml:mo stretchy=\"false\">)</mml:mo></mml:math>-Contractive Mappings in Ordered<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" id=\"M2\"><mml:mrow><mml:mi>G</mml:mi></mml:mrow></mml:math>-Metric Spaces with Applications","display_name":"A Unique Coupled Common Fixed Point Theorem for Symmetric<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" id=\"M1\"><mml:mo stretchy=\"false\">(</mml:mo><mml:mi>\u03c6</mml:mi><mml:mo>,</mml:mo><mml:mi>\u03c8</mml:mi><mml:mo stretchy=\"false\">)</mml:mo></mml:math>-Contractive Mappings in Ordered<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" id=\"M2\"><mml:mrow><mml:mi>G</mml:mi></mml:mrow></mml:math>-Metric Spaces with Applications","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W2060987506","doi":"https://doi.org/10.1155/2013/134712","mag":"2060987506"},"language":"en","primary_location":{"id":"doi:10.1155/2013/134712","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2013/134712","pdf_url":"https://downloads.hindawi.com/journals/jam/2013/134712.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/2013/134712.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5019921595","display_name":"Manish Jain","orcid":"https://orcid.org/0000-0003-1652-8718"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Manish Jain","raw_affiliation_strings":["Department of Mathematics, Ahir College, Rewari 123401, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Ahir College, Rewari 123401, India","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088477916","display_name":"Kenan Ta\u015f","orcid":"https://orcid.org/0000-0001-8173-453X"},"institutions":[{"id":"https://openalex.org/I106245021","display_name":"\u00c7ankaya University","ror":"https://ror.org/056wqre19","country_code":"TR","type":"education","lineage":["https://openalex.org/I106245021"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Kenan Ta\u015f","raw_affiliation_strings":["Department of Mathematics and Computer Science, Cankaya University, Ankara, Turkey"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Cankaya University, Ankara, Turkey","institution_ids":["https://openalex.org/I106245021"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5019921595"],"corresponding_institution_ids":[],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.9294,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.74202804,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"2013","issue":null,"first_page":"1","last_page":"13"},"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":0.7918390035629272},{"id":"https://openalex.org/keywords/metric-space","display_name":"Metric space","score":0.6541198492050171},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.5311150550842285},{"id":"https://openalex.org/keywords/fixed-point-theorem","display_name":"Fixed-point theorem","score":0.47536247968673706},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42369577288627625},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42236945033073425},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.41865861415863037},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3798213005065918},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3662239909172058},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2981502413749695},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.23705291748046875}],"concepts":[{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.7918390035629272},{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.6541198492050171},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.5311150550842285},{"id":"https://openalex.org/C45962547","wikidata":"https://www.wikidata.org/wiki/Q1422068","display_name":"Fixed-point theorem","level":2,"score":0.47536247968673706},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42369577288627625},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42236945033073425},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.41865861415863037},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3798213005065918},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3662239909172058},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2981502413749695},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.23705291748046875},{"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2013/134712","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2013/134712","pdf_url":"https://downloads.hindawi.com/journals/jam/2013/134712.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/1394808279","is_oa":false,"landing_page_url":"https://projecteuclid.org/euclid.jam/1394808279","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:doaj.org/article:0423bd162a404dbd97a2ae0ac3d7d52a","is_oa":true,"landing_page_url":"https://doaj.org/article/0423bd162a404dbd97a2ae0ac3d7d52a","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-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:10.1155/2013/134712","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2013/134712","pdf_url":"https://downloads.hindawi.com/journals/jam/2013/134712.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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2060987506.pdf","grobid_xml":"https://content.openalex.org/works/W2060987506.grobid-xml"},"referenced_works_count":33,"referenced_works":["https://openalex.org/W1523582126","https://openalex.org/W1536456344","https://openalex.org/W1966044963","https://openalex.org/W1972961617","https://openalex.org/W1973567506","https://openalex.org/W1977511720","https://openalex.org/W1983041206","https://openalex.org/W1998324627","https://openalex.org/W2000150509","https://openalex.org/W2005866605","https://openalex.org/W2010104950","https://openalex.org/W2013032801","https://openalex.org/W2013670783","https://openalex.org/W2018763003","https://openalex.org/W2034286458","https://openalex.org/W2041242850","https://openalex.org/W2044256667","https://openalex.org/W2058071741","https://openalex.org/W2058729304","https://openalex.org/W2068666235","https://openalex.org/W2078672636","https://openalex.org/W2092672146","https://openalex.org/W2093951788","https://openalex.org/W2099549211","https://openalex.org/W2102723885","https://openalex.org/W2114360873","https://openalex.org/W2122440577","https://openalex.org/W2133372502","https://openalex.org/W2137605341","https://openalex.org/W2145364632","https://openalex.org/W2248932415","https://openalex.org/W2793405422","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2846516035","https://openalex.org/W4249977926","https://openalex.org/W2585118952","https://openalex.org/W2012141574","https://openalex.org/W2985828462","https://openalex.org/W2354765335","https://openalex.org/W3123504591","https://openalex.org/W2369544116","https://openalex.org/W1691643469","https://openalex.org/W4244119288"],"abstract_inverted_index":{"We":[0],"establish":[1],"the":[2,19,32,49],"existence":[3],"and":[4,30,37,42,44,61],"uniqueness":[5],"of":[6,21,35],"coupled":[7],"common":[8],"fixed":[9],"point":[10],"for":[11],"symmetric<mml:math":[12],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[13],"id=\"M3\"><mml:mo":[14],"stretchy=\"false\">(</mml:mo><mml:mi>\u03c6</mml:mi><mml:mo>,</mml:mo><mml:mi>\u03c8</mml:mi><mml:mo":[15],"stretchy=\"false\">)</mml:mo></mml:math>-contractive":[16],"mappings":[17],"in":[18],"framework":[20],"ordered":[22],"G":[23],"-metric":[24],"spaces.":[25],"Present":[26],"work":[27],"extends,":[28],"generalize,":[29],"enrich":[31],"recent":[33],"results":[34,55],"Choudhury":[36],"Maity":[38],"(2011),":[39],"Nashine":[40],"(2012),":[41,46],"Mohiuddine":[43],"Alotaibi":[45],"thereby,":[47],"weakening":[48],"involved":[50],"contractive":[51],"conditions.":[52],"Our":[53],"theoretical":[54],"are":[56],"accompanied":[57],"by":[58],"suitable":[59],"examples":[60],"an":[62],"application":[63],"to":[64],"integral":[65],"equations.":[66]},"counts_by_year":[{"year":2014,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}