{"id":"https://openalex.org/W4413459865","doi":"https://doi.org/10.1155/jama/4399158","title":"Fixed Points of ( <i>\u03b1</i> , <i>F</i> ) <sub> <i>\u03a9</i> </sub> \u2010Weak Contractions in <i>p</i> \u2010Metric Spaces and Application","display_name":"Fixed Points of ( <i>\u03b1</i> , <i>F</i> ) <sub> <i>\u03a9</i> </sub> \u2010Weak Contractions in <i>p</i> \u2010Metric Spaces and Application","publication_year":2025,"publication_date":"2025-01-01","ids":{"openalex":"https://openalex.org/W4413459865","doi":"https://doi.org/10.1155/jama/4399158"},"language":"en","primary_location":{"id":"doi:10.1155/jama/4399158","is_oa":true,"landing_page_url":"https://doi.org/10.1155/jama/4399158","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1155/jama/4399158","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://onlinelibrary.wiley.com/doi/pdfdirect/10.1155/jama/4399158","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5107182589","display_name":"Chol Jin Kil","orcid":"https://orcid.org/0009-0008-9236-7139"},"institutions":[{"id":"https://openalex.org/I344333522","display_name":"Kim Chaek University of Technology","ror":"https://ror.org/04vew1z32","country_code":"KP","type":"education","lineage":["https://openalex.org/I344333522"]}],"countries":["KP"],"is_corresponding":false,"raw_author_name":"Chol Jin Kil","raw_affiliation_strings":["Faculty of Applied Mathematics ,  Kim Chaek University of Technology ,  Pyongyang ,  Democratic People\u2019s Republic of Korea , kut.edu.kp"],"raw_orcid":"https://orcid.org/0009-0008-9236-7139","affiliations":[{"raw_affiliation_string":"Faculty of Applied Mathematics ,  Kim Chaek University of Technology ,  Pyongyang ,  Democratic People\u2019s Republic of Korea , kut.edu.kp","institution_ids":["https://openalex.org/I344333522"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Jong-Chol Choe","orcid":"https://orcid.org/0009-0001-8459-228X"},"institutions":[{"id":"https://openalex.org/I344333522","display_name":"Kim Chaek University of Technology","ror":"https://ror.org/04vew1z32","country_code":"KP","type":"education","lineage":["https://openalex.org/I344333522"]}],"countries":["KP"],"is_corresponding":false,"raw_author_name":"Jong-Chol Choe","raw_affiliation_strings":["Faculty of Applied Mathematics ,  Kim Chaek University of Technology ,  Pyongyang ,  Democratic People\u2019s Republic of Korea , kut.edu.kp"],"raw_orcid":"https://orcid.org/0009-0001-8459-228X","affiliations":[{"raw_affiliation_string":"Faculty of Applied Mathematics ,  Kim Chaek University of Technology ,  Pyongyang ,  Democratic People\u2019s Republic of Korea , kut.edu.kp","institution_ids":["https://openalex.org/I344333522"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5087416974","display_name":"Sang\u2010Jin Kim","orcid":"https://orcid.org/0000-0001-8094-1684"},"institutions":[{"id":"https://openalex.org/I344333522","display_name":"Kim Chaek University of Technology","ror":"https://ror.org/04vew1z32","country_code":"KP","type":"education","lineage":["https://openalex.org/I344333522"]}],"countries":["KP"],"is_corresponding":true,"raw_author_name":"Sang-Jin Kim","raw_affiliation_strings":["Faculty of Physical Engineering ,  Kim Chaek University of Technology ,  Pyongyang ,  Democratic People\u2019s Republic of Korea , kut.edu.kp"],"raw_orcid":"https://orcid.org/0000-0001-8094-1684","affiliations":[{"raw_affiliation_string":"Faculty of Physical Engineering ,  Kim Chaek University of Technology ,  Pyongyang ,  Democratic People\u2019s Republic of Korea , kut.edu.kp","institution_ids":["https://openalex.org/I344333522"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5087416974"],"corresponding_institution_ids":["https://openalex.org/I344333522"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.25295218,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2025","issue":"1","first_page":null,"last_page":null},"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"}},{"id":"https://openalex.org/T13080","display_name":"Advanced Differential Geometry Research","score":0.9039000272750854,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6219916939735413},{"id":"https://openalex.org/keywords/metric-space","display_name":"Metric space","score":0.6095441579818726},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.5308448076248169},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.4782501757144928},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3409888446331024},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3017113208770752},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.042419642210006714}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6219916939735413},{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.6095441579818726},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.5308448076248169},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.4782501757144928},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3409888446331024},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3017113208770752},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.042419642210006714},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1155/jama/4399158","is_oa":true,"landing_page_url":"https://doi.org/10.1155/jama/4399158","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1155/jama/4399158","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:doaj.org/article:da83ea37e9f24860b21492012ceeacf5","is_oa":true,"landing_page_url":"https://doaj.org/article/da83ea37e9f24860b21492012ceeacf5","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 2025 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/jama/4399158","is_oa":true,"landing_page_url":"https://doi.org/10.1155/jama/4399158","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1155/jama/4399158","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":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4413459865.pdf"},"referenced_works_count":32,"referenced_works":["https://openalex.org/W72134831","https://openalex.org/W1458771408","https://openalex.org/W1969670355","https://openalex.org/W2014589140","https://openalex.org/W2048884582","https://openalex.org/W2075051123","https://openalex.org/W2095810891","https://openalex.org/W2107929732","https://openalex.org/W2118481763","https://openalex.org/W2323245002","https://openalex.org/W2333861820","https://openalex.org/W2334378407","https://openalex.org/W2471356275","https://openalex.org/W2485369488","https://openalex.org/W2527523171","https://openalex.org/W2808766465","https://openalex.org/W2907691305","https://openalex.org/W2942194559","https://openalex.org/W2997120158","https://openalex.org/W2998562556","https://openalex.org/W3107730023","https://openalex.org/W3136741435","https://openalex.org/W4200444061","https://openalex.org/W4214551686","https://openalex.org/W4293791129","https://openalex.org/W4306920886","https://openalex.org/W4307701380","https://openalex.org/W4317725852","https://openalex.org/W4318473912","https://openalex.org/W4387573545","https://openalex.org/W6602953246","https://openalex.org/W7033894595"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2962838298","https://openalex.org/W4360593833"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,58],"prove":[4],"the":[5,21,34,49,55,60],"existence":[6,61],"and":[7,43],"uniqueness":[8],"of":[9,13,23,54,62,65],"a":[10,63],"fixed":[11,36],"point":[12,37],"some":[14,30],"\u03b1":[15],"-":[16],"admissible":[17],"F":[18],"\u2010contractions":[19],"in":[20,48],"setting":[22],"p":[24],"\u2010metric":[25],"spaces.":[26],"We":[27],"also":[28],"give":[29],"examples":[31],"to":[32],"support":[33],"presented":[35],"results.":[38],"Our":[39],"results":[40],"improve,":[41],"extend,":[42],"unify":[44],"many":[45],"existing":[46],"theorems":[47],"literature.":[50],"As":[51],"an":[52],"application":[53],"obtained":[56],"results,":[57],"consider":[59],"solution":[64],"nonlinear":[66],"integral":[67],"equations.":[68]},"counts_by_year":[],"updated_date":"2026-06-15T08:34:33.830935","created_date":"2025-10-10T00:00:00"}
