{"id":"https://openalex.org/W2912935383","doi":"https://doi.org/10.3390/sym11020206","title":"A New Approach to the Solution of Non-Linear Integral Equations via Various FBe-Contractions","display_name":"A New Approach to the Solution of Non-Linear Integral Equations via Various FBe-Contractions","publication_year":2019,"publication_date":"2019-02-12","ids":{"openalex":"https://openalex.org/W2912935383","doi":"https://doi.org/10.3390/sym11020206","mag":"2912935383"},"language":"en","primary_location":{"id":"doi:10.3390/sym11020206","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym11020206","pdf_url":"https://www.mdpi.com/2073-8994/11/2/206/pdf?version=1550661078","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/11/2/206/pdf?version=1550661078","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5076381835","display_name":"Sumati Kumari Panda","orcid":"https://orcid.org/0000-0002-0220-8222"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Sumati Kumari Panda","raw_affiliation_strings":["Department of Mathematics, Basic Sciences and Humanities, GMR Institute of Technology, Rajam 532127, Andhra Pradesh, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Basic Sciences and Humanities, GMR Institute of Technology, Rajam 532127, Andhra Pradesh, India","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008596168","display_name":"Asifa Tassaddiq","orcid":"https://orcid.org/0000-0002-6165-8055"},"institutions":[{"id":"https://openalex.org/I195631090","display_name":"Majmaah University","ror":"https://ror.org/01mcrnj60","country_code":"SA","type":"education","lineage":["https://openalex.org/I195631090"]}],"countries":["SA"],"is_corresponding":true,"raw_author_name":"Asifa Tassaddiq","raw_affiliation_strings":["College of Computer and Information Sciences, Majmaah University, Majmaah 11952, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"College of Computer and Information Sciences, Majmaah University, Majmaah 11952, Saudi Arabia","institution_ids":["https://openalex.org/I195631090"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064952177","display_name":"Ravi P. Agarwal","orcid":"https://orcid.org/0000-0003-0075-1704"},"institutions":[{"id":"https://openalex.org/I106959904","display_name":"Florida Institute of Technology","ror":"https://ror.org/04atsbb87","country_code":"US","type":"education","lineage":["https://openalex.org/I106959904"]},{"id":"https://openalex.org/I181414168","display_name":"Texas A&M University \u2013 Kingsville","ror":"https://ror.org/05abs3w97","country_code":"US","type":"education","lineage":["https://openalex.org/I181414168"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ravi P Agarwal","raw_affiliation_strings":["Department of Mathematics, Texas A&amp;M University-Kingsville, Kingsville, TX 78363, USA","Distinguished University Professor of Mathematics, Florida Institute of Technology, Melbourne, FL 32901, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Texas A&amp;M University-Kingsville, Kingsville, TX 78363, USA","institution_ids":["https://openalex.org/I181414168"]},{"raw_affiliation_string":"Distinguished University Professor of Mathematics, Florida Institute of Technology, Melbourne, FL 32901, USA","institution_ids":["https://openalex.org/I106959904"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5008596168","https://openalex.org/A5076381835"],"corresponding_institution_ids":["https://openalex.org/I195631090"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":9.9748,"has_fulltext":true,"cited_by_count":32,"citation_normalized_percentile":{"value":0.98887481,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"11","issue":"2","first_page":"206","last_page":"206"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11777","display_name":"Fixed Point Theorems Analysis","score":0.9994000196456909,"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":0.9994000196456909,"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/contraction","display_name":"Contraction (grammar)","score":0.750603437423706},{"id":"https://openalex.org/keywords/metric-space","display_name":"Metric space","score":0.6281387805938721},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.5137211084365845},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5040971040725708},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.44085758924484253},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4383623003959656},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4300178587436676},{"id":"https://openalex.org/keywords/fixed-point-theorem","display_name":"Fixed-point theorem","score":0.420714408159256},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41362565755844116}],"concepts":[{"id":"https://openalex.org/C163415756","wikidata":"https://www.wikidata.org/wiki/Q126473","display_name":"Contraction (grammar)","level":2,"score":0.750603437423706},{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.6281387805938721},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.5137211084365845},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5040971040725708},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.44085758924484253},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4383623003959656},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4300178587436676},{"id":"https://openalex.org/C45962547","wikidata":"https://www.wikidata.org/wiki/Q1422068","display_name":"Fixed-point theorem","level":2,"score":0.420714408159256},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41362565755844116},{"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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"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":2,"locations":[{"id":"doi:10.3390/sym11020206","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym11020206","pdf_url":"https://www.mdpi.com/2073-8994/11/2/206/pdf?version=1550661078","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:6f88738d8ba14e74b7415b588f42fa2a","is_oa":true,"landing_page_url":"https://doaj.org/article/6f88738d8ba14e74b7415b588f42fa2a","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":"Symmetry, Vol 11, Iss 2, p 206 (2019)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/sym11020206","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym11020206","pdf_url":"https://www.mdpi.com/2073-8994/11/2/206/pdf?version=1550661078","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2912935383.pdf","grobid_xml":"https://content.openalex.org/works/W2912935383.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W1941152524","https://openalex.org/W2107929732","https://openalex.org/W2118481763","https://openalex.org/W2137689253","https://openalex.org/W2287497107","https://openalex.org/W2296568224","https://openalex.org/W2328226763","https://openalex.org/W2600776080","https://openalex.org/W2615964754","https://openalex.org/W2793308318","https://openalex.org/W2796173895","https://openalex.org/W2801421575","https://openalex.org/W2809898688","https://openalex.org/W2886174678","https://openalex.org/W2896111480","https://openalex.org/W2902214874","https://openalex.org/W2915602380","https://openalex.org/W2942399304","https://openalex.org/W6759437501"],"related_works":["https://openalex.org/W2846516035","https://openalex.org/W4249977926","https://openalex.org/W2585118952","https://openalex.org/W2012141574","https://openalex.org/W1606221119","https://openalex.org/W2354765335","https://openalex.org/W3123504591","https://openalex.org/W2369544116","https://openalex.org/W1691643469","https://openalex.org/W2985828462"],"abstract_inverted_index":{"In":[0],"this":[1,72],"article,":[2],"we":[3,41,74],"introduce":[4],"and":[5,32,45],"establish":[6],"various":[7],"approaches":[8],"related":[9],"to":[10,67],"the":[11,19,25,33,53,58],"F-contraction":[12],"using":[13,52],"new":[14],"sorts":[15],"of":[16,60],"contractions,":[17],"namely":[18],"extended":[20,26,34],"F":[21,27,36],"B":[22,28,37,62],"e":[23,29,38,63],"-contraction,":[24],"-expanding":[30],"contraction,":[31],"generalized":[35],"-contraction.":[39],"Thereafter,":[40],"propose":[42],"a":[43,61],"simple":[44],"efficient":[46],"solution":[47],"for":[48],"non-linear":[49],"integral":[50],"equations":[51],"fixed":[54],"point":[55],"technique":[56],"in":[57],"setting":[59],"-metric":[64],"space.":[65],"Moreover,":[66],"address":[68],"conceptual":[69],"depth":[70],"within":[71],"approach,":[73],"supply":[75],"illustrative":[76],"examples":[77],"where":[78],"necessary.":[79]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":11},{"year":2019,"cited_by_count":3}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
