{"id":"https://openalex.org/W2093835814","doi":"https://doi.org/10.4304/jmm.8.6.816-822","title":"Contracting Similarity Fixed Point of General Sierpinski Gasket","display_name":"Contracting Similarity Fixed Point of General Sierpinski Gasket","publication_year":2013,"publication_date":"2013-11-20","ids":{"openalex":"https://openalex.org/W2093835814","doi":"https://doi.org/10.4304/jmm.8.6.816-822","mag":"2093835814"},"language":"en","primary_location":{"id":"doi:10.4304/jmm.8.6.816-822","is_oa":false,"landing_page_url":"https://doi.org/10.4304/jmm.8.6.816-822","pdf_url":null,"source":{"id":"https://openalex.org/S16006927","display_name":"Journal of Multimedia","issn_l":"1796-2048","issn":["1796-2048"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318660","host_organization_name":"Academy Publisher","host_organization_lineage":["https://openalex.org/P4310318660"],"host_organization_lineage_names":["Academy Publisher"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Multimedia","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/A5100940941","display_name":"Shanhui Sun","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Shanhui Sun","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038684853","display_name":"Zhuangzhuang Li","orcid":"https://orcid.org/0000-0003-0033-1750"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zhuangzhuang Li","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101831930","display_name":"Yimin Wu","orcid":"https://orcid.org/0000-0002-8249-3907"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yimin Wu","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5013988587","display_name":"Yan Xu","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yan Xu","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.429,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.62151761,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"8","issue":"6","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9947999715805054,"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"}},"topics":[{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9947999715805054,"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/T12516","display_name":"Advanced Mathematical Theories and Applications","score":0.9891999959945679,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9843999743461609,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/sierpinski-triangle","display_name":"Sierpinski triangle","score":0.8243778944015503},{"id":"https://openalex.org/keywords/similarity","display_name":"Similarity (geometry)","score":0.7241120338439941},{"id":"https://openalex.org/keywords/gasket","display_name":"Gasket","score":0.5674347877502441},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.5077310800552368},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4639520049095154},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2766006588935852},{"id":"https://openalex.org/keywords/fractal","display_name":"Fractal","score":0.2634078562259674},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.21323812007904053},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.18513339757919312},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.15054407715797424},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.14558783173561096},{"id":"https://openalex.org/keywords/composite-material","display_name":"Composite material","score":0.09873980283737183}],"concepts":[{"id":"https://openalex.org/C27176706","wikidata":"https://www.wikidata.org/wiki/Q663365","display_name":"Sierpinski triangle","level":3,"score":0.8243778944015503},{"id":"https://openalex.org/C103278499","wikidata":"https://www.wikidata.org/wiki/Q254465","display_name":"Similarity (geometry)","level":3,"score":0.7241120338439941},{"id":"https://openalex.org/C128421294","wikidata":"https://www.wikidata.org/wiki/Q1132541","display_name":"Gasket","level":2,"score":0.5674347877502441},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.5077310800552368},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4639520049095154},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2766006588935852},{"id":"https://openalex.org/C40636538","wikidata":"https://www.wikidata.org/wiki/Q81392","display_name":"Fractal","level":2,"score":0.2634078562259674},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.21323812007904053},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.18513339757919312},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.15054407715797424},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.14558783173561096},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.09873980283737183},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.4304/jmm.8.6.816-822","is_oa":false,"landing_page_url":"https://doi.org/10.4304/jmm.8.6.816-822","pdf_url":null,"source":{"id":"https://openalex.org/S16006927","display_name":"Journal of Multimedia","issn_l":"1796-2048","issn":["1796-2048"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318660","host_organization_name":"Academy Publisher","host_organization_lineage":["https://openalex.org/P4310318660"],"host_organization_lineage_names":["Academy Publisher"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Multimedia","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W845566334","https://openalex.org/W1968708180","https://openalex.org/W1984823221","https://openalex.org/W1988287045","https://openalex.org/W2004227689","https://openalex.org/W2016611154","https://openalex.org/W2024947761","https://openalex.org/W2038146161","https://openalex.org/W2040162086","https://openalex.org/W2041149050","https://openalex.org/W2043081566","https://openalex.org/W2055302991","https://openalex.org/W2058853794","https://openalex.org/W2060051689","https://openalex.org/W2061740086","https://openalex.org/W2064684965","https://openalex.org/W2086987967","https://openalex.org/W2090240969","https://openalex.org/W2093251869","https://openalex.org/W2094686143","https://openalex.org/W2105704763","https://openalex.org/W2125249703","https://openalex.org/W2363134778","https://openalex.org/W2369168410","https://openalex.org/W2375392526"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W2261968709","https://openalex.org/W1963941882","https://openalex.org/W1995324141","https://openalex.org/W2347657670","https://openalex.org/W3197725777","https://openalex.org/W1991477449","https://openalex.org/W2095015958","https://openalex.org/W137663589","https://openalex.org/W3022088549"],"abstract_inverted_index":{"The":[0],"article":[1,38,71,90],"mainly":[2],"studies":[3,39],"the":[4,10,13,18,21,37,40,46,50,53,70,77,82,86,89,92,95,101,108,120,123],"contracting":[5,24,41,96,110,125],"similarity":[6,25,42,97,111,126],"\ufb01xed":[7,43,98,112,127],"point":[8,27,99],"and":[9,57,67,81,104,132],"structure":[11,51],"of":[12,23,35,52,76,94,100],"general":[14,54,78],"Sierpinski":[15,55,79,102],"gasket.":[16],"Firstly,":[17],"paper":[19,47,121],"analyzes":[20],"importance":[22],"fixed":[26],"in":[28],"fractal":[29],"geometry.":[30],"Based":[31],"on":[32,49],"a":[33,63,115],"series":[34],"definitions,":[36],"point.":[44],"Then,":[45],"researches":[48],"gasket,":[56,103],"describes":[58],"it":[59],"through":[60],"function.":[61],"Using":[62],"new":[64,116],"characteristic":[65],"function":[66],"other":[68],"techniques,":[69],"gives":[72,133],"two":[73,134],"important":[74],"lemmas":[75],"gasket":[80],"complete":[83],"proof.":[84],"By":[85],"proved":[87],"lemmas,":[88],"gets":[91],"formula":[93],"then":[105],"proves":[106],"that":[107],"aforementioned":[109],"points":[113,128],"form":[114],"fractal.":[117],"As":[118],"application,":[119],"classifies":[122],"above":[124],"into":[129],"three":[130],"types":[131],"examples.":[135]},"counts_by_year":[{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}