{"id":"https://openalex.org/W2963526212","doi":"https://doi.org/10.1109/access.2019.2917499","title":"Simulative Suzuki-Gerghaty Type Contraction With $\\mathscr{C}$ -Class Functions and Applications","display_name":"Simulative Suzuki-Gerghaty Type Contraction With $\\mathscr{C}$ -Class Functions and Applications","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2963526212","doi":"https://doi.org/10.1109/access.2019.2917499","mag":"2963526212"},"language":"en","primary_location":{"id":"doi:10.1109/access.2019.2917499","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2917499","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08717629.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08717629.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5103243979","display_name":"Abdullah Eqal Al-Mazrooei","orcid":"https://orcid.org/0000-0003-2069-1307"},"institutions":[{"id":"https://openalex.org/I4210099699","display_name":"University of Jeddah","ror":"https://ror.org/015ya8798","country_code":"SA","type":"education","lineage":["https://openalex.org/I4210099699"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Abdullah Eqal Al-Mazrooei","raw_affiliation_strings":["Department of Mathematics, University of Jeddah, Jeddah, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Jeddah, Jeddah, Saudi Arabia","institution_ids":["https://openalex.org/I4210099699"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001000167","display_name":"Azhar Hussain","orcid":"https://orcid.org/0000-0003-4501-9269"},"institutions":[{"id":"https://openalex.org/I160968435","display_name":"University of Sargodha","ror":"https://ror.org/0086rpr26","country_code":"PK","type":"education","lineage":["https://openalex.org/I160968435"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Azhar Hussain","raw_affiliation_strings":["Department of Mathematics, University of Sargodha, Sargodha, Pakistan"],"raw_orcid":"https://orcid.org/0000-0003-4501-9269","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Sargodha, Sargodha, Pakistan","institution_ids":["https://openalex.org/I160968435"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048139584","display_name":"Muhammad Ishfaq","orcid":"https://orcid.org/0000-0003-4697-3097"},"institutions":[{"id":"https://openalex.org/I160968435","display_name":"University of Sargodha","ror":"https://ror.org/0086rpr26","country_code":"PK","type":"education","lineage":["https://openalex.org/I160968435"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Muhammad Ishfaq","raw_affiliation_strings":["Department of Mathematics, University of Sargodha, Sargodha, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Sargodha, Sargodha, Pakistan","institution_ids":["https://openalex.org/I160968435"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012886973","display_name":"Jamshaid Ahmad","orcid":"https://orcid.org/0000-0003-4755-7044"},"institutions":[{"id":"https://openalex.org/I4210099699","display_name":"University of Jeddah","ror":"https://ror.org/015ya8798","country_code":"SA","type":"education","lineage":["https://openalex.org/I4210099699"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Jamshaid Ahmad","raw_affiliation_strings":["Department of Mathematics, University of Jeddah, Jeddah, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Jeddah, Jeddah, Saudi Arabia","institution_ids":["https://openalex.org/I4210099699"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.7291,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.68283446,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"7","issue":null,"first_page":"75284","last_page":"75291"},"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9837999939918518,"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/nonlinear-system","display_name":"Nonlinear system","score":0.6398975849151611},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.6106913089752197},{"id":"https://openalex.org/keywords/contraction","display_name":"Contraction (grammar)","score":0.5847647190093994},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5715141296386719},{"id":"https://openalex.org/keywords/contraction-mapping","display_name":"Contraction mapping","score":0.5566102266311646},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.5384116172790527},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.5375311970710754},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.43097344040870667},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.41915565729141235},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3950042724609375},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33306288719177246},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3298066556453705},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2672184109687805},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08351835608482361},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.04595324397087097}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6398975849151611},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6106913089752197},{"id":"https://openalex.org/C163415756","wikidata":"https://www.wikidata.org/wiki/Q126473","display_name":"Contraction (grammar)","level":2,"score":0.5847647190093994},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5715141296386719},{"id":"https://openalex.org/C55524764","wikidata":"https://www.wikidata.org/wiki/Q515173","display_name":"Contraction mapping","level":3,"score":0.5566102266311646},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5384116172790527},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.5375311970710754},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.43097344040870667},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41915565729141235},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3950042724609375},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33306288719177246},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3298066556453705},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2672184109687805},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08351835608482361},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.04595324397087097},{"id":"https://openalex.org/C126322002","wikidata":"https://www.wikidata.org/wiki/Q11180","display_name":"Internal medicine","level":1,"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/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2019.2917499","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2917499","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08717629.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:c29be5da108f4a3b8a308000f5cc369a","is_oa":true,"landing_page_url":"https://doaj.org/article/c29be5da108f4a3b8a308000f5cc369a","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":"IEEE Access, Vol 7, Pp 75284-75291 (2019)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2019.2917499","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2917499","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08717629.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320329038","display_name":"University of Jeddah","ror":"https://ror.org/015ya8798"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2963526212.pdf","grobid_xml":"https://content.openalex.org/works/W2963526212.grobid-xml"},"referenced_works_count":18,"referenced_works":["https://openalex.org/W1458771408","https://openalex.org/W1558948865","https://openalex.org/W2019736087","https://openalex.org/W2031157165","https://openalex.org/W2075051123","https://openalex.org/W2083846704","https://openalex.org/W2094611044","https://openalex.org/W2136715130","https://openalex.org/W2163158752","https://openalex.org/W2180314974","https://openalex.org/W2344442109","https://openalex.org/W2513927057","https://openalex.org/W2592330938","https://openalex.org/W2736036239","https://openalex.org/W2751249914","https://openalex.org/W2802273135","https://openalex.org/W2893291855","https://openalex.org/W3001208414"],"related_works":["https://openalex.org/W307954469","https://openalex.org/W3169627106","https://openalex.org/W2382877128","https://openalex.org/W4362513838","https://openalex.org/W1966503202","https://openalex.org/W2363508298","https://openalex.org/W2354519566","https://openalex.org/W2899135524","https://openalex.org/W2115499189","https://openalex.org/W2809143454"],"abstract_inverted_index":{"The":[0],"purpose":[1],"of":[2,10,30,43,51,53],"this":[3],"paper":[4],"is":[5,37],"to":[6,39],"introduce":[7],"the":[8,17,22,28,31,41,49],"notion":[9],"a":[11,54],"Suzuki-Gerghaty":[12],"type":[13],"contractive":[14],"mapping":[15],"via":[16],"simulation":[18],"functions":[19,25],"along":[20],"with":[21],"C":[23],"-class":[24],"and":[26],"prove":[27,48],"existence":[29,50],"fixed":[32],"point":[33],"result.":[34],"An":[35],"example":[36],"given":[38],"show":[40],"validity":[42],"our":[44],"results.":[45],"Moreover,":[46],"we":[47],"solution":[52],"nonlinear":[55],"Hammerstein":[56],"integral":[57],"equation.":[58]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
