{"id":"https://openalex.org/W1970630006","doi":"https://doi.org/10.1155/2012/102980","title":"Common Fixed Points, Invariant Approximation and Generalized Weak Contractions","display_name":"Common Fixed Points, Invariant Approximation and Generalized Weak Contractions","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W1970630006","doi":"https://doi.org/10.1155/2012/102980","mag":"1970630006"},"language":"en","primary_location":{"id":"doi:10.1155/2012/102980","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2012/102980","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2012/102980.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/2012/102980.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5091492036","display_name":"Sumit Chandok","orcid":"https://orcid.org/0000-0003-1928-2952"},"institutions":[{"id":"https://openalex.org/I94616015","display_name":"Punjab Technical University","ror":"https://ror.org/025kz2973","country_code":"IN","type":"education","lineage":["https://openalex.org/I94616015"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Sumit Chandok","raw_affiliation_strings":["Department of Mathematics, Khalsa College of Engineering & Technology (Punjab Technical University), Ranjit Avenue, Amritsar-143001, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Khalsa College of Engineering & Technology (Punjab Technical University), Ranjit Avenue, Amritsar-143001, India","institution_ids":["https://openalex.org/I94616015"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5091492036"],"corresponding_institution_ids":["https://openalex.org/I94616015"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":5.8677,"has_fulltext":true,"cited_by_count":20,"citation_normalized_percentile":{"value":0.96208056,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"2012","issue":null,"first_page":"1","last_page":"11"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11777","display_name":"Fixed Point Theorems Analysis","score":1.0,"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":1.0,"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":0.9939000010490417,"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":0.9333778619766235},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.7134419679641724},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.6866992115974426},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4862114489078522},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4748561382293701},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.418189138174057},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3414658308029175},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.27257901430130005},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.07371389865875244}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9333778619766235},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.7134419679641724},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.6866992115974426},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4862114489078522},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4748561382293701},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.418189138174057},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3414658308029175},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.27257901430130005},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.07371389865875244},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2012/102980","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2012/102980","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2012/102980.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:102980","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/IJMMS/2012/102980.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:aaeb7c7e22794428acc028b12f93267d","is_oa":true,"landing_page_url":"https://doaj.org/article/aaeb7c7e22794428acc028b12f93267d","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"},{"id":"pmh:oai:hindawi.com:10.1155/2012/102980","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/102980","pdf_url":null,"source":{"id":"https://openalex.org/S4306400340","display_name":"Hindawi Journal of Chemistry (Hindawi)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210126990","host_organization_name":"Hindawi (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210126990"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Research Article"}],"best_oa_location":{"id":"doi:10.1155/2012/102980","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2012/102980","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2012/102980.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/W1970630006.pdf","grobid_xml":"https://content.openalex.org/works/W1970630006.grobid-xml"},"referenced_works_count":23,"referenced_works":["https://openalex.org/W1245420","https://openalex.org/W159190119","https://openalex.org/W1598209570","https://openalex.org/W1968016707","https://openalex.org/W1977620557","https://openalex.org/W1981459842","https://openalex.org/W1990566022","https://openalex.org/W1994307453","https://openalex.org/W1998390010","https://openalex.org/W2008270055","https://openalex.org/W2024393275","https://openalex.org/W2046740502","https://openalex.org/W2073034113","https://openalex.org/W2075585498","https://openalex.org/W2089184020","https://openalex.org/W2182839383","https://openalex.org/W2186306368","https://openalex.org/W2320063842","https://openalex.org/W2911808921","https://openalex.org/W2948394303","https://openalex.org/W2989045556","https://openalex.org/W3215515324","https://openalex.org/W4235476168"],"related_works":["https://openalex.org/W172022518","https://openalex.org/W1984854975","https://openalex.org/W4293114312","https://openalex.org/W1970560677","https://openalex.org/W124145845","https://openalex.org/W2093947781","https://openalex.org/W3126049054","https://openalex.org/W3103887953","https://openalex.org/W2090103360","https://openalex.org/W4306707143"],"abstract_inverted_index":{"Sufficient":[0],"conditions":[1],"for":[2,28],"the":[3,23,45],"existence":[4],"of":[5,10,25,31],"a":[6],"common":[7],"fixed":[8],"point":[9],"generalized":[11],"-weakly":[12],"contractive":[13],"noncommuting":[14],"mappings":[15,32],"are":[16,33],"derived.":[17],"As":[18],"applications,":[19],"some":[20],"results":[21,37,43],"on":[22],"set":[24],"best":[26],"approximation":[27],"this":[29],"class":[30],"obtained.":[34],"The":[35],"proved":[36],"generalize":[38],"and":[39],"extend":[40],"various":[41],"known":[42],"in":[44],"literature.":[46]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":9},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
