{"id":"https://openalex.org/W1991246817","doi":"https://doi.org/10.1155/2012/786814","title":"Common Fixed Points of Generalized Meir-Keeler Type Condition and Nonexpansive Mappings","display_name":"Common Fixed Points of Generalized Meir-Keeler Type Condition and Nonexpansive Mappings","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W1991246817","doi":"https://doi.org/10.1155/2012/786814","mag":"1991246817"},"language":"en","primary_location":{"id":"doi:10.1155/2012/786814","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/786814","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2012/786814.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"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":"International Journal of Mathematics and Mathematical Sciences","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/ijmms/2012/786814.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5052436825","display_name":"Ravindra K. Bisht","orcid":"https://orcid.org/0000-0002-6333-8127"},"institutions":[{"id":"https://openalex.org/I119311299","display_name":"Kumaun University","ror":"https://ror.org/038e9x269","country_code":"IN","type":"education","lineage":["https://openalex.org/I119311299"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"R. K. Bisht","raw_affiliation_strings":["Department of Mathematics, Kumaun University, D. S. B. Campus, Nainital 263002, India","Department of Mathematics, Kumaun University, D. S. B. Campus, Nainital 263002 (India)"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Kumaun University, D. S. B. Campus, Nainital 263002, India","institution_ids":["https://openalex.org/I119311299"]},{"raw_affiliation_string":"Department of Mathematics, Kumaun University, D. S. B. Campus, Nainital 263002 (India)","institution_ids":["https://openalex.org/I119311299"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5052436825"],"corresponding_institution_ids":["https://openalex.org/I119311299"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":2.0956,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.85168491,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"2012","issue":null,"first_page":"1","last_page":"12"},"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.9030248522758484},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.7319481372833252},{"id":"https://openalex.org/keywords/contraction-principle","display_name":"Contraction principle","score":0.656112790107727},{"id":"https://openalex.org/keywords/reciprocal","display_name":"Reciprocal","score":0.6557055711746216},{"id":"https://openalex.org/keywords/fixed-point-theorem","display_name":"Fixed-point theorem","score":0.6187520623207092},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.5619534850120544},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5188618898391724},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.503208577632904},{"id":"https://openalex.org/keywords/coincidence-point","display_name":"Coincidence point","score":0.4289875626564026},{"id":"https://openalex.org/keywords/contraction","display_name":"Contraction (grammar)","score":0.42509984970092773},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.40267446637153625},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2621367573738098}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9030248522758484},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.7319481372833252},{"id":"https://openalex.org/C2775958659","wikidata":"https://www.wikidata.org/wiki/Q5165690","display_name":"Contraction principle","level":3,"score":0.656112790107727},{"id":"https://openalex.org/C2777742833","wikidata":"https://www.wikidata.org/wiki/Q1964083","display_name":"Reciprocal","level":2,"score":0.6557055711746216},{"id":"https://openalex.org/C45962547","wikidata":"https://www.wikidata.org/wiki/Q1422068","display_name":"Fixed-point theorem","level":2,"score":0.6187520623207092},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.5619534850120544},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5188618898391724},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.503208577632904},{"id":"https://openalex.org/C35767895","wikidata":"https://www.wikidata.org/wiki/Q5141583","display_name":"Coincidence point","level":3,"score":0.4289875626564026},{"id":"https://openalex.org/C163415756","wikidata":"https://www.wikidata.org/wiki/Q126473","display_name":"Contraction (grammar)","level":2,"score":0.42509984970092773},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.40267446637153625},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2621367573738098},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","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},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C126322002","wikidata":"https://www.wikidata.org/wiki/Q11180","display_name":"Internal medicine","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2012/786814","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/786814","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2012/786814.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"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":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:jijmms:786814","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/IJMMS/2012/786814.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:e14c45adf21348bf935965c229558370","is_oa":true,"landing_page_url":"https://doaj.org/article/e14c45adf21348bf935965c229558370","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":"International Journal of Mathematics and Mathematical Sciences, Vol 2012 (2012)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2012/786814","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/786814","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2012/786814.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"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":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1991246817.pdf","grobid_xml":"https://content.openalex.org/works/W1991246817.grobid-xml"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W391315","https://openalex.org/W1489200767","https://openalex.org/W1489502472","https://openalex.org/W1548457004","https://openalex.org/W1964483132","https://openalex.org/W1984781556","https://openalex.org/W1991029855","https://openalex.org/W2013281541","https://openalex.org/W2014791331","https://openalex.org/W2021031915","https://openalex.org/W2029489985","https://openalex.org/W2042601565","https://openalex.org/W2056836348","https://openalex.org/W2070980769","https://openalex.org/W2073346542","https://openalex.org/W2116659777","https://openalex.org/W2164303263","https://openalex.org/W2188732718","https://openalex.org/W2197599649","https://openalex.org/W2256590508","https://openalex.org/W2339248835","https://openalex.org/W2574546209","https://openalex.org/W2962991084","https://openalex.org/W3128025593","https://openalex.org/W4237714332","https://openalex.org/W4249666993","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2846516035","https://openalex.org/W4249977926","https://openalex.org/W4294039072","https://openalex.org/W2585118952","https://openalex.org/W1782822988","https://openalex.org/W2012141574","https://openalex.org/W4244119288","https://openalex.org/W2960861592","https://openalex.org/W30764991","https://openalex.org/W4288282640"],"abstract_inverted_index":{"The":[0,23],"aim":[1],"of":[2,19,30,53,67],"the":[3,15,51,65],"present":[4],"paper":[5],"is":[6,26,34],"to":[7,36],"obtain":[8],"common":[9,54],"fixed":[10,55,68,80],"point":[11,81],"theorems":[12],"by":[13],"employing":[14],"recently":[16],"introduced":[17],"notion":[18,25],"weak":[20,47],"reciprocal":[21,31,48],"continuity.":[22],"new":[24],"a":[27],"proper":[28],"generalization":[29],"continuity":[32,49],"and":[33,73,78],"applicable":[35],"compatible":[37],"mappings":[38],"as":[39,41],"well":[40],"noncompatible":[42],"mappings.":[43],"We":[44],"demonstrate":[45],"that":[46],"ensures":[50],"existence":[52,66],"points":[56],"under":[57],"contractive":[58],"conditions,":[59],"which":[60],"otherwise":[61],"do":[62],"not":[63],"ensure":[64],"points.":[69],"Our":[70],"results":[71],"generalize":[72],"extend":[74],"Banach":[75],"contraction":[76],"principle":[77],"Meir-Keeler-type":[79],"theorem.":[82]},"counts_by_year":[{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
