{"id":"https://openalex.org/W2068141341","doi":"https://doi.org/10.1007/s10957-013-0397-2","title":"Combination of the Hybrid Steepest-Descent Method and the Viscosity Approximation","display_name":"Combination of the Hybrid Steepest-Descent Method and the Viscosity Approximation","publication_year":2013,"publication_date":"2013-09-09","ids":{"openalex":"https://openalex.org/W2068141341","doi":"https://doi.org/10.1007/s10957-013-0397-2","mag":"2068141341"},"language":"en","primary_location":{"id":"doi:10.1007/s10957-013-0397-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-013-0397-2","pdf_url":null,"source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"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":"Journal of Optimization Theory and Applications","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/A5069329809","display_name":"Shahram Saeidi","orcid":"https://orcid.org/0000-0001-6814-4770"},"institutions":[{"id":"https://openalex.org/I3124704065","display_name":"University of Kurdistan","ror":"https://ror.org/04k89yk85","country_code":"IR","type":"education","lineage":["https://openalex.org/I3124704065"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"S. Saeidi","raw_affiliation_strings":["Department of Mathematics, University of Kurdistan, Sanandaj 416, Kurdistan, Iran","University of Kurdistan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Kurdistan, Sanandaj 416, Kurdistan, Iran","institution_ids":["https://openalex.org/I3124704065"]},{"raw_affiliation_string":"University of Kurdistan","institution_ids":["https://openalex.org/I3124704065"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5052482625","display_name":"Do Sang Kim","orcid":"https://orcid.org/0000-0003-4191-2295"},"institutions":[{"id":"https://openalex.org/I8991828","display_name":"Pukyong National University","ror":"https://ror.org/0433kqc49","country_code":"KR","type":"education","lineage":["https://openalex.org/I8991828"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"D. S. Kim","raw_affiliation_strings":["Department of Applied Mathematics, Pukyong National University, Busan, 608-737, Republic of Korea","Pukyong National University"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Pukyong National University, Busan, 608-737, Republic of Korea","institution_ids":["https://openalex.org/I8991828"]},{"raw_affiliation_string":"Pukyong National University","institution_ids":["https://openalex.org/I8991828"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5069329809"],"corresponding_institution_ids":["https://openalex.org/I3124704065"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.12130771,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":97},"biblio":{"volume":"160","issue":"3","first_page":"911","last_page":"930"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9987000226974487,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9927999973297119,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/mathematics","display_name":"Mathematics","score":0.844867467880249},{"id":"https://openalex.org/keywords/banach-space","display_name":"Banach space","score":0.784489631652832},{"id":"https://openalex.org/keywords/method-of-steepest-descent","display_name":"Method of steepest descent","score":0.64508056640625},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.6229016184806824},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.6091227531433105},{"id":"https://openalex.org/keywords/viscosity","display_name":"Viscosity","score":0.5924098491668701},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5758512616157532},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.5523756146430969},{"id":"https://openalex.org/keywords/gradient-descent","display_name":"Gradient descent","score":0.5369595885276794},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.509540855884552},{"id":"https://openalex.org/keywords/descent","display_name":"Descent (aeronautics)","score":0.5032219290733337},{"id":"https://openalex.org/keywords/viscosity-solution","display_name":"Viscosity solution","score":0.4165477156639099},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.41325122117996216},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3966027796268463},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.35740214586257935},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.19078588485717773},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.09719240665435791},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09098035097122192}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.844867467880249},{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.784489631652832},{"id":"https://openalex.org/C158847443","wikidata":"https://www.wikidata.org/wiki/Q1997812","display_name":"Method of steepest descent","level":2,"score":0.64508056640625},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.6229016184806824},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6091227531433105},{"id":"https://openalex.org/C127172972","wikidata":"https://www.wikidata.org/wiki/Q128709","display_name":"Viscosity","level":2,"score":0.5924098491668701},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5758512616157532},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.5523756146430969},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.5369595885276794},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.509540855884552},{"id":"https://openalex.org/C2776637919","wikidata":"https://www.wikidata.org/wiki/Q624380","display_name":"Descent (aeronautics)","level":2,"score":0.5032219290733337},{"id":"https://openalex.org/C88731125","wikidata":"https://www.wikidata.org/wiki/Q7935676","display_name":"Viscosity solution","level":2,"score":0.4165477156639099},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.41325122117996216},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3966027796268463},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.35740214586257935},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.19078588485717773},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.09719240665435791},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09098035097122192},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10957-013-0397-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-013-0397-2","pdf_url":null,"source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"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":"Journal of Optimization Theory and Applications","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:joptap:v:160:y:2014:i:3:d:10.1007_s10957-013-0397-2","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10957-013-0397-2","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321375","display_name":"Pukyong National University","ror":"https://ror.org/0433kqc49"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W178044176","https://openalex.org/W587075566","https://openalex.org/W612220516","https://openalex.org/W1441652847","https://openalex.org/W1527404760","https://openalex.org/W1539408669","https://openalex.org/W1546168022","https://openalex.org/W1785338998","https://openalex.org/W1987665513","https://openalex.org/W1989393688","https://openalex.org/W1990732977","https://openalex.org/W1992586477","https://openalex.org/W1993470041","https://openalex.org/W1994064995","https://openalex.org/W2015322583","https://openalex.org/W2026580230","https://openalex.org/W2033943991","https://openalex.org/W2041143200","https://openalex.org/W2041738431","https://openalex.org/W2044382429","https://openalex.org/W2059785880","https://openalex.org/W2065266663","https://openalex.org/W2067080690","https://openalex.org/W2069491950","https://openalex.org/W2070694134","https://openalex.org/W2083434666","https://openalex.org/W2134851358","https://openalex.org/W2989058889","https://openalex.org/W4230659860"],"related_works":["https://openalex.org/W2393439324","https://openalex.org/W2081157561","https://openalex.org/W3197592642","https://openalex.org/W131846159","https://openalex.org/W2027078210","https://openalex.org/W2386196923","https://openalex.org/W2368086325","https://openalex.org/W2015288657","https://openalex.org/W2088010696","https://openalex.org/W2155993847"],"abstract_inverted_index":null,"counts_by_year":[{"year":2019,"cited_by_count":3}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}