{"id":"https://openalex.org/W4412891122","doi":"https://doi.org/10.1515/9783111724638-001","title":"1Fixed points and their geometric properties for interpolative contravariant mappings","display_name":"1Fixed points and their geometric properties for interpolative contravariant mappings","publication_year":2025,"publication_date":"2025-08-04","ids":{"openalex":"https://openalex.org/W4412891122","doi":"https://doi.org/10.1515/9783111724638-001"},"language":"en","primary_location":{"id":"doi:10.1515/9783111724638-001","doi":"https://doi.org/10.1515/9783111724638-001","is_oa":false,"landing_page_url":"https://doi.org/10.1515/9783111724638-001","pdf_url":null,"source":{"id":"https://openalex.org/S4306463091","display_name":"De Gruyter eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Nonlinear Analysis and Computational Techniques","raw_type":"book-chapter"},"volume":{"id":"https://openalex.org/W4412891157","display_name":"Nonlinear Analysis and Computational Techniques"},"type":"book-chapter","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101911154","display_name":"Shivam Rawat","orcid":"https://orcid.org/0000-0002-5927-2524","observed_orcids":["https://orcid.org/0000-0002-5927-2524"]},"institutions":[{"id":"https://openalex.org/I60054993","display_name":"Graphic Era University","ror":"https://ror.org/03wqgqd89","country_code":"IN","type":"education","lineage":["https://openalex.org/I60054993"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Shivam Rawat","raw_affiliation_strings":["Department of Mathematics , Graphic Era (Deemed to be) University , Dehradun , Uttarakhand , , India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics , Graphic Era (Deemed to be) University , Dehradun , Uttarakhand , , India","institution_ids":["https://openalex.org/I60054993"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041217874","display_name":"Ayush Bartwal","orcid":"https://orcid.org/0000-0001-9965-3930","observed_orcids":["https://orcid.org/0000-0001-9965-3930"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ayush Bartwal","raw_affiliation_strings":["Department of Mathematics , Himwant Kavi Chandra Kunwar Bartwal Govt. P.G. College , Nagnath Pokhari , Uttarakhand , , India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics , Himwant Kavi Chandra Kunwar Bartwal Govt. P.G. College , Nagnath Pokhari , Uttarakhand , , India","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071000768","display_name":"Monika Bisht","orcid":"https://orcid.org/0000-0003-4688-4342","observed_orcids":["https://orcid.org/0000-0003-4688-4342"]},"institutions":[{"id":"https://openalex.org/I1281160679","display_name":"Graphic Era Hill University","ror":"https://ror.org/01bb4h160","country_code":"IN","type":"education","lineage":["https://openalex.org/I1281160679"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Monika Bisht","raw_affiliation_strings":["Department of Mathematics , Graphic Era Hill University , Dehradun Campus , Uttarakhand , , India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics , Graphic Era Hill University , Dehradun Campus , Uttarakhand , , India","institution_ids":["https://openalex.org/I1281160679"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077282941","display_name":"Anita Tomar","orcid":"https://orcid.org/0000-0001-8033-856X","observed_orcids":["https://orcid.org/0000-0001-8033-856X"]},"institutions":[{"id":"https://openalex.org/I4405256247","display_name":"Sri Dev Suman Uttarakhand University","ror":"https://ror.org/03yx73m48","country_code":"IN","type":"education","lineage":["https://openalex.org/I4405256247"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Anita Tomar","raw_affiliation_strings":["Pt.L.M.S. Campus , Sridev Suman Uttarakhand University , Rishikesh , Uttarakhand , India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Pt.L.M.S. Campus , Sridev Suman Uttarakhand University , Rishikesh , Uttarakhand , India","institution_ids":["https://openalex.org/I4405256247"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.49457291,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"14"},"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/T12508","display_name":"Functional Equations Stability Results","score":0.0,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T12062","display_name":"Approximation Theory and Sequence Spaces","score":0.0,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/fixed-points","display_name":"fixed points","score":0.8629999756813049},{"id":"https://openalex.org/keywords/interpolative-contractions","display_name":"interpolative contractions","score":0.7940000295639038},{"id":"https://openalex.org/keywords/kannan-type-contractions","display_name":"Kannan-type contractions","score":0.8130000233650208},{"id":"https://openalex.org/keywords/meir-keeler-contractions","display_name":"Meir-Keeler contractions","score":0.8270000219345093}],"concepts":[{"id":"https://openalex.org/C206236147","wikidata":"https://www.wikidata.org/wiki/Q3555165","display_name":"Covariance and contravariance of vectors","level":2,"score":0.9452134966850281},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5179170966148376},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5159276723861694},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.34975308179855347}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1515/9783111724638-001","doi":"https://doi.org/10.1515/9783111724638-001","is_oa":false,"landing_page_url":"https://doi.org/10.1515/9783111724638-001","pdf_url":null,"source":{"id":"https://openalex.org/S4306463091","display_name":"De Gruyter eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Nonlinear Analysis and Computational Techniques","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W2047277075","https://openalex.org/W2084404970","https://openalex.org/W2135068696","https://openalex.org/W2268379485","https://openalex.org/W2591713368","https://openalex.org/W2790419399","https://openalex.org/W2807010890","https://openalex.org/W2891381814","https://openalex.org/W2901018962","https://openalex.org/W2906111721","https://openalex.org/W2906841004","https://openalex.org/W2910244530","https://openalex.org/W2910485676","https://openalex.org/W3004879613","https://openalex.org/W3123540054","https://openalex.org/W3126981479","https://openalex.org/W3132590901","https://openalex.org/W3133501561","https://openalex.org/W3196470022","https://openalex.org/W3213707855","https://openalex.org/W4298111454","https://openalex.org/W4311470447","https://openalex.org/W4366782632","https://openalex.org/W4393225807"],"related_works":["https://openalex.org/W4367852195","https://openalex.org/W4388846655","https://openalex.org/W3111121368","https://openalex.org/W4411808575","https://openalex.org/W7036951879","https://openalex.org/W4308580098","https://openalex.org/W4396680092","https://openalex.org/W4399764053","https://openalex.org/W7196929582","https://openalex.org/W7156530790"],"abstract_inverted_index":{"We":[0,23,39],"introduce":[1],"interpolative":[2,7,31],"Kannan-type":[3,32],"contravariant":[4,9,33],"contraction":[5,10,34],"and":[6,27,49],"Kannan\u2013Meir\u2013Keeler-type":[8],"to":[11,43],"prove":[12],"fixed":[13],"point":[14],"results":[15,29],"in":[16,35],"the":[17,36],"setting":[18],"of":[19],"bipolar":[20],"metric":[21],"spaces.":[22],"then":[24],"discuss":[25],"fixed-disc":[26],"fixed-circle":[28],"for":[30],"aforementioned":[37],"space.":[38],"also":[40],"provide":[41],"examples":[42],"support":[44],"our":[45],"results,":[46],"which":[47],"extend":[48],"generalize":[50],"several":[51],"existing":[52],"results.":[53]},"counts_by_year":[],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2025-10-10T00:00:00"}