{"id":"https://openalex.org/W2099112486","doi":"https://doi.org/10.11648/j.sr.20130104.11","title":"Introduction to Weakly b- Transitive Maps on Topological Spaces","display_name":"Introduction to Weakly b- Transitive Maps on Topological Spaces","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W2099112486","doi":"https://doi.org/10.11648/j.sr.20130104.11","mag":"2099112486"},"language":"en","primary_location":{"id":"doi:10.11648/j.sr.20130104.11","doi":"https://doi.org/10.11648/j.sr.20130104.11","is_oa":true,"landing_page_url":"https://doi.org/10.11648/j.sr.20130104.11","pdf_url":"https://article.sciencepublishinggroup.com/pdf/10.11648.j.sr.20130104.11.pdf","source":{"id":"https://openalex.org/S4210220575","display_name":"Science Research","issn_l":"2329-0927","issn":["2329-0927","2329-0935"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310319272","host_organization_name":"Science Publishing Group","host_organization_lineage":["https://openalex.org/P4310319272"],"host_organization_lineage_names":["Science Publishing Group"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Science Research","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://article.sciencepublishinggroup.com/pdf/10.11648.j.sr.20130104.11.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5003189918","display_name":"Mohammed Nokhas Murad Kaki","orcid":"https://orcid.org/0000-0002-7617-722X","observed_orcids":["https://orcid.org/0000-0002-7617-722X"]},"institutions":[{"id":"https://openalex.org/I64952554","display_name":"University of Sulaimani","ror":"https://ror.org/00saanr69","country_code":"IQ","type":"education","lineage":["https://openalex.org/I64952554"]}],"countries":["IQ"],"is_corresponding":true,"raw_author_name":"Mohammed Nokhas Murad Kaki","raw_affiliation_strings":["Math Department, School of Science, Faculty of Science and Science Education, University of Sulaimani, Iraq"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Math Department, School of Science, Faculty of Science and Science Education, University of Sulaimani, Iraq","institution_ids":["https://openalex.org/I64952554"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5003189918"],"corresponding_institution_ids":["https://openalex.org/I64952554"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":93},"biblio":{"volume":"1","issue":"4","first_page":"59","last_page":"59"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.8984000086784363,"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/T11151","display_name":"Advanced Topology and Set Theory","score":0.8984000086784363,"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.07079999893903732,"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"}},{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.005799999926239252,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/topological-transitivity","display_name":"topological transitivity","score":0.6309999823570251},{"id":"https://openalex.org/keywords/set-valued-mappings","display_name":"set-valued mappings","score":0.5040000081062317}],"concepts":[{"id":"https://openalex.org/C2776809875","wikidata":"https://www.wikidata.org/wiki/Q1375963","display_name":"Converse","level":2,"score":0.958399772644043},{"id":"https://openalex.org/C191399111","wikidata":"https://www.wikidata.org/wiki/Q64861","display_name":"Transitive relation","level":2,"score":0.9024139642715454},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7222393751144409},{"id":"https://openalex.org/C42357961","wikidata":"https://www.wikidata.org/wiki/Q213363","display_name":"Open set","level":2,"score":0.5904738903045654},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5517796277999878},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.45377662777900696},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.371715784072876},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3618977665901184},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.34034258127212524},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.17615753412246704},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09573844075202942},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.11648/j.sr.20130104.11","doi":"https://doi.org/10.11648/j.sr.20130104.11","is_oa":true,"landing_page_url":"https://doi.org/10.11648/j.sr.20130104.11","pdf_url":"https://article.sciencepublishinggroup.com/pdf/10.11648.j.sr.20130104.11.pdf","source":{"id":"https://openalex.org/S4210220575","display_name":"Science Research","issn_l":"2329-0927","issn":["2329-0927","2329-0935"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310319272","host_organization_name":"Science Publishing Group","host_organization_lineage":["https://openalex.org/P4310319272"],"host_organization_lineage_names":["Science Publishing Group"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Science Research","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.11648/j.sr.20130104.11","doi":"https://doi.org/10.11648/j.sr.20130104.11","is_oa":true,"landing_page_url":"https://doi.org/10.11648/j.sr.20130104.11","pdf_url":"https://article.sciencepublishinggroup.com/pdf/10.11648.j.sr.20130104.11.pdf","source":{"id":"https://openalex.org/S4210220575","display_name":"Science Research","issn_l":"2329-0927","issn":["2329-0927","2329-0935"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310319272","host_organization_name":"Science Publishing Group","host_organization_lineage":["https://openalex.org/P4310319272"],"host_organization_lineage_names":["Science Publishing Group"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Science Research","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2099112486.pdf","grobid_xml":"https://content.openalex.org/works/W2099112486.grobid-xml"},"referenced_works_count":10,"referenced_works":["https://openalex.org/W287945440","https://openalex.org/W1794056878","https://openalex.org/W2014078953","https://openalex.org/W2092266125","https://openalex.org/W2182388822","https://openalex.org/W2592847769","https://openalex.org/W2953021406","https://openalex.org/W2954523392","https://openalex.org/W6632334699","https://openalex.org/W6826692058"],"related_works":["https://openalex.org/W7099967959","https://openalex.org/W7100371275","https://openalex.org/W2885837089","https://openalex.org/W2901540082","https://openalex.org/W2563987623","https://openalex.org/W2064869872","https://openalex.org/W7098521466","https://openalex.org/W4379055691","https://openalex.org/W2324034788","https://openalex.org/W2158549094"],"abstract_inverted_index":{"The":[0,11],"concept":[1],"of":[2,13,32,40],"b-regular":[3,26],"open":[4,27],"set":[5],"was":[6],"introduced":[7],"by":[8,24],"N.":[9],"Rajesh..":[10],"aim":[12],"this":[14],"paper":[15],"is":[16,52,69],"to":[17],"introduce":[18,37],"and":[19,29,64],"characterize":[20],"weakly":[21,41,54,71],"b-transitive":[22,50],"maps":[23],"using":[25],"sets":[28],"investigate":[30],"some":[31],"its":[33],"properties.":[34],"Further,":[35],"we":[36],"the":[38,59,76],"notions":[39],"b-":[42,55,72],"minimal":[43,73],"mapping.":[44],"We":[45],"have":[46],"proved":[47],"that":[48,65],"every":[49,66],"map":[51,57,68],"a":[53,70],"transitive":[56],"but":[58,75],"converse":[60,77],"not":[61,78],"necessarily":[62,79],"true,":[63],"b-minimal":[67],"map,":[74],"true.":[80]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-10-30T12:39:25.321706","created_date":"2016-06-24T00:00:00"}