{"id":"https://openalex.org/W4407249012","doi":"https://doi.org/10.1007/s00500-025-10515-0","title":"Convergence Analysis of a Picard\u2013CR Iteration Process for Nonexpansive Mappings","display_name":"Convergence Analysis of a Picard\u2013CR Iteration Process for Nonexpansive Mappings","publication_year":2025,"publication_date":"2025-01-01","ids":{"openalex":"https://openalex.org/W4407249012","doi":"https://doi.org/10.1007/s00500-025-10515-0"},"language":"en","primary_location":{"id":"doi:10.1007/s00500-025-10515-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00500-025-10515-0","pdf_url":null,"source":{"id":"https://openalex.org/S65753830","display_name":"Soft Computing","issn_l":"1432-7643","issn":["1432-7643","1433-7479"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Soft Computing","raw_type":"journal-article"},"type":"article","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/A5099182965","display_name":"Bashir Nawaz","orcid":null},"institutions":[{"id":"https://openalex.org/I2802999120","display_name":"Government of Khyber Pakhtunkhwa","ror":"https://ror.org/04zyfmb02","country_code":"PK","type":"government","lineage":["https://openalex.org/I2802999120"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Bashir Nawaz","raw_affiliation_strings":["Department of Mathematics, University of Lakki Marwat, Lakki Marwat, 28420, Khyber Pakhtunkhwa, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Lakki Marwat, Lakki Marwat, 28420, Khyber Pakhtunkhwa, Pakistan","institution_ids":["https://openalex.org/I2802999120"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100743329","display_name":"Kifayat Ullah","orcid":"https://orcid.org/0000-0002-6991-4287"},"institutions":[{"id":"https://openalex.org/I2802999120","display_name":"Government of Khyber Pakhtunkhwa","ror":"https://ror.org/04zyfmb02","country_code":"PK","type":"government","lineage":["https://openalex.org/I2802999120"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Kifayat Ullah","raw_affiliation_strings":["Department of Mathematics, University of Lakki Marwat, Lakki Marwat, 28420, Khyber Pakhtunkhwa, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Lakki Marwat, Lakki Marwat, 28420, Khyber Pakhtunkhwa, Pakistan","institution_ids":["https://openalex.org/I2802999120"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012724889","display_name":"Krzysztof Gdawiec","orcid":"https://orcid.org/0000-0001-9434-9307"},"institutions":[{"id":"https://openalex.org/I864159182","display_name":"University of Silesia in Katowice","ror":"https://ror.org/0104rcc94","country_code":"PL","type":"education","lineage":["https://openalex.org/I864159182"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Krzysztof Gdawiec","raw_affiliation_strings":["Institute of Computer Science, University of Silesia in Katowice, Bedzinska 39, 41-200, Sosnowiec, Poland"],"raw_orcid":"https://orcid.org/0000-0001-9434-9307","affiliations":[{"raw_affiliation_string":"Institute of Computer Science, University of Silesia in Katowice, Bedzinska 39, 41-200, Sosnowiec, Poland","institution_ids":["https://openalex.org/I864159182"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5012724889"],"corresponding_institution_ids":["https://openalex.org/I864159182"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":5.4048,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.95733637,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"29","issue":"2","first_page":"435","last_page":"455"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":1.0,"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"}},{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T11777","display_name":"Fixed Point Theorems Analysis","score":0.9980999827384949,"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/convergence","display_name":"Convergence (economics)","score":0.6317817568778992},{"id":"https://openalex.org/keywords/fixed-point-iteration","display_name":"Fixed-point iteration","score":0.562836229801178},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.4931883215904236},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37324202060699463},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36854928731918335},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3619142770767212},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.2176777422428131},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.1404765546321869},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11197665333747864}],"concepts":[{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6317817568778992},{"id":"https://openalex.org/C157449380","wikidata":"https://www.wikidata.org/wiki/Q1030759","display_name":"Fixed-point iteration","level":3,"score":0.562836229801178},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.4931883215904236},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37324202060699463},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36854928731918335},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3619142770767212},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.2176777422428131},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.1404765546321869},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11197665333747864},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00500-025-10515-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00500-025-10515-0","pdf_url":null,"source":{"id":"https://openalex.org/S65753830","display_name":"Soft Computing","issn_l":"1432-7643","issn":["1432-7643","1433-7479"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Soft Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.4399999976158142}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":45,"referenced_works":["https://openalex.org/W587075566","https://openalex.org/W612220516","https://openalex.org/W641016853","https://openalex.org/W1458771408","https://openalex.org/W1487976166","https://openalex.org/W1967060486","https://openalex.org/W1996239470","https://openalex.org/W2005848700","https://openalex.org/W2006431173","https://openalex.org/W2008181411","https://openalex.org/W2017647378","https://openalex.org/W2023358569","https://openalex.org/W2045471945","https://openalex.org/W2051706947","https://openalex.org/W2053487511","https://openalex.org/W2069435104","https://openalex.org/W2079711316","https://openalex.org/W2088536270","https://openalex.org/W2097593805","https://openalex.org/W2111830694","https://openalex.org/W2155899147","https://openalex.org/W2259227674","https://openalex.org/W2571440684","https://openalex.org/W2810336376","https://openalex.org/W2813217530","https://openalex.org/W2922682330","https://openalex.org/W2950711104","https://openalex.org/W2977811462","https://openalex.org/W2995807174","https://openalex.org/W3009326592","https://openalex.org/W3094504558","https://openalex.org/W3135229758","https://openalex.org/W3154977791","https://openalex.org/W3158558077","https://openalex.org/W4220956067","https://openalex.org/W4224303319","https://openalex.org/W4226072271","https://openalex.org/W4236062087","https://openalex.org/W4248970302","https://openalex.org/W4285248493","https://openalex.org/W4292324088","https://openalex.org/W4393308264","https://openalex.org/W4399783921","https://openalex.org/W4400475103","https://openalex.org/W4400641857"],"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/W2600246793"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":3}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}