{"id":"https://openalex.org/W7171925101","doi":"https://doi.org/10.3934/math.2026942","title":"On some novel suprametric-interpolative contractions with applications","display_name":"On some novel suprametric-interpolative contractions with applications","publication_year":2026,"publication_date":"2026-01-01","ids":{"openalex":"https://openalex.org/W7171925101","doi":"https://doi.org/10.3934/math.2026942"},"language":"en","primary_location":{"id":"doi:10.3934/math.2026942","doi":"https://doi.org/10.3934/math.2026942","is_oa":true,"landing_page_url":"https://doi.org/10.3934/math.2026942","pdf_url":"http://www.aimspress.com/aimspress-data/math/2026/7/PDF/math-11-07-942.pdf","source":{"id":"https://openalex.org/S4210179087","display_name":"AIMS Mathematics","issn_l":"2473-6988","issn":["2473-6988"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1","oarl","poland-20","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"AIMS Mathematics","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"http://www.aimspress.com/aimspress-data/math/2026/7/PDF/math-11-07-942.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5134547733","display_name":"Deepali Patel","orcid":"https://orcid.org/0009-0001-9328-318X","observed_orcids":["https://orcid.org/0009-0001-9328-318X"]},"institutions":[{"id":"https://openalex.org/I4405253601","display_name":"Jabalpur Engineering College","ror":"https://ror.org/00w1ah179","country_code":"IN","type":"education","lineage":["https://openalex.org/I4405253601"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Deepali Patel","raw_affiliation_strings":["Department of Mathematics , Jabalpur Engineering College , Jabalpur , India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics , Jabalpur Engineering College , Jabalpur , India","institution_ids":["https://openalex.org/I4405253601"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010427831","display_name":"Om Prakash Chauhan","orcid":"https://orcid.org/0000-0003-0353-5871","observed_orcids":["https://orcid.org/0000-0003-0353-5871"]},"institutions":[{"id":"https://openalex.org/I4405253601","display_name":"Jabalpur Engineering College","ror":"https://ror.org/00w1ah179","country_code":"IN","type":"education","lineage":["https://openalex.org/I4405253601"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Om Prakash Chauhan","raw_affiliation_strings":["Department of Mathematics, Jabalpur Engineering College, Jabalpur, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Jabalpur Engineering College, Jabalpur, India","institution_ids":["https://openalex.org/I4405253601"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I4405253601"],"apc_list":{"value":1200,"currency":"USD","value_usd":1200},"apc_paid":{"value":1200,"currency":"USD","value_usd":1200},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"11","issue":"7","first_page":"23371","last_page":"23392"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11777","display_name":"Fixed Point Theorems Analysis","score":1.0,"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/T11777","display_name":"Fixed Point Theorems Analysis","score":1.0,"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/T12508","display_name":"Functional Equations Stability Results","score":0.0,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T12062","display_name":"Approximation Theory and Sequence Spaces","score":0.0,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/interpolative-contractions","display_name":"interpolative contractions","score":0.8149999976158142},{"id":"https://openalex.org/keywords/fixed-point-theorems","display_name":"fixed point theorems","score":0.9929999709129333},{"id":"https://openalex.org/keywords/banach-fixed-point-theorem","display_name":"Banach fixed point theorem","score":0.7820000052452087},{"id":"https://openalex.org/keywords/third-order-boundary-value-problems","display_name":"third-order boundary value problems","score":0.8370000123977661},{"id":"https://openalex.org/keywords/fredholm-integral-equations","display_name":"Fredholm integral equations","score":1.0},{"id":"https://openalex.org/keywords/nonlinear-problems","display_name":"nonlinear problems","score":0.5759999752044678}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8008000254631042},{"id":"https://openalex.org/C163415756","wikidata":"https://www.wikidata.org/wiki/Q126473","display_name":"Contraction (grammar)","level":2,"score":0.6055999994277954},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.5968999862670898},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5799999833106995},{"id":"https://openalex.org/C45962547","wikidata":"https://www.wikidata.org/wiki/Q1422068","display_name":"Fixed-point theorem","level":2,"score":0.5486000180244446},{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.5426999926567078},{"id":"https://openalex.org/C2775958659","wikidata":"https://www.wikidata.org/wiki/Q5165690","display_name":"Contraction principle","level":3,"score":0.534600019454956},{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.5134999752044678},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.44690001010894775},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4271000027656555},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.41819998621940613},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4047999978065491},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.3427000045776367},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.33869999647140503},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.320499986410141},{"id":"https://openalex.org/C55524764","wikidata":"https://www.wikidata.org/wiki/Q515173","display_name":"Contraction mapping","level":3,"score":0.3010999858379364},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3000999987125397},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.299699991941452},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.287200003862381},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.28139999508857727},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.28130000829696655},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.2728999853134155},{"id":"https://openalex.org/C57945734","wikidata":"https://www.wikidata.org/wiki/Q7977941","display_name":"Weak convergence","level":3,"score":0.2685000002384186}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3934/math.2026942","doi":"https://doi.org/10.3934/math.2026942","is_oa":true,"landing_page_url":"https://doi.org/10.3934/math.2026942","pdf_url":"http://www.aimspress.com/aimspress-data/math/2026/7/PDF/math-11-07-942.pdf","source":{"id":"https://openalex.org/S4210179087","display_name":"AIMS Mathematics","issn_l":"2473-6988","issn":["2473-6988"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1","oarl","poland-20","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"AIMS Mathematics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.3934/math.2026942","doi":"https://doi.org/10.3934/math.2026942","is_oa":true,"landing_page_url":"https://doi.org/10.3934/math.2026942","pdf_url":"http://www.aimspress.com/aimspress-data/math/2026/7/PDF/math-11-07-942.pdf","source":{"id":"https://openalex.org/S4210179087","display_name":"AIMS Mathematics","issn_l":"2473-6988","issn":["2473-6988"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1","oarl","poland-20","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"AIMS Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7171925101.pdf","grobid_xml":"https://content.openalex.org/works/W7171925101.grobid-xml"},"referenced_works_count":28,"referenced_works":["https://openalex.org/W1458771408","https://openalex.org/W1974653624","https://openalex.org/W2006792552","https://openalex.org/W2084404970","https://openalex.org/W2107929732","https://openalex.org/W2333861820","https://openalex.org/W2807010890","https://openalex.org/W2901018962","https://openalex.org/W2912906971","https://openalex.org/W3126218573","https://openalex.org/W3129706565","https://openalex.org/W4235476168","https://openalex.org/W4244729930","https://openalex.org/W4295066589","https://openalex.org/W4385185461","https://openalex.org/W4385597464","https://openalex.org/W4390240988","https://openalex.org/W4391879907","https://openalex.org/W4393044726","https://openalex.org/W4403326668","https://openalex.org/W4405596858","https://openalex.org/W4408311814","https://openalex.org/W4409736265","https://openalex.org/W7117870514","https://openalex.org/W7155501129","https://openalex.org/W7161487736","https://openalex.org/W7164521863","https://openalex.org/W7225616019"],"related_works":["https://openalex.org/W7161487736","https://openalex.org/W7160755039","https://openalex.org/W4414211940","https://openalex.org/W7202265062","https://openalex.org/W4415068259","https://openalex.org/W7222827727","https://openalex.org/W4393044726","https://openalex.org/W4403830691","https://openalex.org/W3186584587","https://openalex.org/W7211909675"],"abstract_inverted_index":{"Fixed":[0],"point":[1,31,123],"theory":[2],"in":[3,37,116],"generalized":[4,47],"metric-type":[5],"spaces":[6,45],"is":[7,26],"useful":[8],"for":[9,33,60],"studying":[10],"nonlinear":[11,101],"problems":[12],"where":[13],"classical":[14,79],"metric":[15],"assumptions":[16],"are":[17,46,84],"too":[18],"restrictive.":[19],"The":[20,93],"main":[21],"contribution":[22],"of":[23,90,95,100,119],"this":[24],"work":[25],"to":[27,72,86,97],"establish":[28],"new":[29],"fixed":[30,122],"theorems":[32],"interpolative":[34],"contraction":[35,81],"mappings":[36,73],"strong":[38],"extended":[39],"$":[40],"s":[41],"$-suprametric":[42],"spaces.":[43],"These":[44],"distance":[48],"frameworks":[49],"that":[50,74],"extend":[51],"several":[52],"known":[53],"suprametric-type":[54],"structures":[55],"while":[56],"preserving":[57],"conditions":[58,68],"suitable":[59],"convergence":[61],"analysis.":[62],"Interpolative":[63],"contractions":[64],"involve":[65],"mixed-distance":[66],"contractive":[67],"and":[69,110],"therefore":[70],"apply":[71],"may":[75],"not":[76],"satisfy":[77],"the":[78,88,117,120],"Banach":[80],"principle.":[82],"Examples":[83],"included":[85],"demonstrate":[87],"efficacy":[89],"our":[91],"findings.":[92],"existence":[94],"solutions":[96],"three":[98],"categories":[99],"problems,":[102,106,113],"third-order":[103],"boundary":[104],"value":[105],"Fredholm":[107],"integral":[108],"equations,":[109],"dynamic":[111],"programming":[112],"were":[114],"demonstrated":[115],"applications":[118],"developed":[121],"theory.":[124]},"counts_by_year":[],"updated_date":"2026-11-10T11:39:43.021295","created_date":"2026-08-01T00:00:00"}