{"id":"https://openalex.org/W1597183041","doi":"https://doi.org/10.1155/2009/174042","title":"Weak and Strong Forms of <i>\u03c9</i>\u2010Continuous Functions","display_name":"Weak and Strong Forms of <i>\u03c9</i>\u2010Continuous Functions","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W1597183041","doi":"https://doi.org/10.1155/2009/174042","mag":"1597183041"},"language":"en","primary_location":{"id":"doi:10.1155/2009/174042","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2009/174042","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2009/174042.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/ijmms/2009/174042.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5010938634","display_name":"Ahmad Al-Omari","orcid":"https://orcid.org/0000-0002-6696-1301"},"institutions":[{"id":"https://openalex.org/I21173400","display_name":"Mutah University","ror":"https://ror.org/008g9ns82","country_code":"JO","type":"education","lineage":["https://openalex.org/I21173400"]}],"countries":["JO"],"is_corresponding":true,"raw_author_name":"Ahmad Al-Omari","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Mu'tah University, P.O. Box 7, Karak 61710, Jordan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Mu'tah University, P.O. Box 7, Karak 61710, Jordan","institution_ids":["https://openalex.org/I21173400"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085343055","display_name":"Takashi Noiri","orcid":"https://orcid.org/0000-0002-0862-5297"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Takashi Noiri","raw_affiliation_strings":["2949-1 Shiokita-cho, Hinagu, Yatsushiro-shi, Kumamoto-ken 869-5142, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"2949-1 Shiokita-cho, Hinagu, Yatsushiro-shi, Kumamoto-ken 869-5142, Japan","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5039122954","display_name":"Mohd Salmi Md Noorani","orcid":"https://orcid.org/0000-0002-6122-744X"},"institutions":[{"id":"https://openalex.org/I885383172","display_name":"National University of Malaysia","ror":"https://ror.org/00bw8d226","country_code":"MY","type":"education","lineage":["https://openalex.org/I885383172"]}],"countries":["MY"],"is_corresponding":false,"raw_author_name":"Mohd. Salmi Md. Noorani","raw_affiliation_strings":["School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia","institution_ids":["https://openalex.org/I885383172"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5010938634"],"corresponding_institution_ids":["https://openalex.org/I21173400"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.0,"has_fulltext":true,"cited_by_count":11,"citation_normalized_percentile":{"value":0.10042493,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"2009","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9998999834060669,"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"}},{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.991100013256073,"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/T11703","display_name":"Rings, Modules, and Algebras","score":0.9884999990463257,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/algorithm","display_name":"Algorithm","score":0.5878869295120239},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44074052572250366}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5878869295120239},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44074052572250366}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1155/2009/174042","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2009/174042","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2009/174042.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:6544ff456f6b4d82a59d5c44542e78b6","is_oa":true,"landing_page_url":"https://doaj.org/article/6544ff456f6b4d82a59d5c44542e78b6","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":"International Journal of Mathematics and Mathematical Sciences, Vol 2009 (2009)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2009/174042","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2009/174042","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2009/174042.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3371248943","display_name":null,"funder_award_id":"UKM-ST-06-FRGS0008-2008","funder_id":"https://openalex.org/F4320321709","funder_display_name":"Ministry of Higher Education, Malaysia"}],"funders":[{"id":"https://openalex.org/F4320321709","display_name":"Ministry of Higher Education, Malaysia","ror":"https://ror.org/05mcs2t73"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1597183041.pdf","grobid_xml":"https://content.openalex.org/works/W1597183041.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W972631126","https://openalex.org/W1489352964","https://openalex.org/W2012725389","https://openalex.org/W2015278860","https://openalex.org/W2020679929","https://openalex.org/W2079951040","https://openalex.org/W2092266125","https://openalex.org/W2127138133","https://openalex.org/W2244183021","https://openalex.org/W2314505706","https://openalex.org/W2316843083","https://openalex.org/W2993966747","https://openalex.org/W3113091095","https://openalex.org/W3199960809","https://openalex.org/W4243622778","https://openalex.org/W4249939961","https://openalex.org/W6678756301","https://openalex.org/W6771640251","https://openalex.org/W6801341561"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644","https://openalex.org/W2042127053"],"abstract_inverted_index":{"We":[0],"introduce":[1],"weak":[2],"and":[3,15,22],"strong":[4],"forms":[5],"of":[6],"\u03c9":[7,13,19],"\u2010continuous":[8,14,20],"functions,":[9,21],"namely,":[10],"\u03b8":[11,17],"\u2010":[12,18],"strongly":[16],"investigate":[23],"their":[24],"fundamental":[25],"properties.":[26]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2016-06-24T00:00:00"}