{"title":"广义(ψ， θ， ϕ)-收缩及其在常微分方程中的应用","authors":"Amrish Handa","doi":"10.22190/fumi210412014h","DOIUrl":null,"url":null,"abstract":"We prove a unique common fixed point theorem and some coupled fixed point results satisfying generalized (ψ, θ, ϕ)-contraction on partially ordered metric spaces. With the help of results established in the first segment, we investigate the solution of periodic boundary value problems as an application. Our results improve, generalize and sharpen various well known results in the literature.","PeriodicalId":54148,"journal":{"name":"Facta Universitatis-Series Mathematics and Informatics","volume":"2 1","pages":""},"PeriodicalIF":0.3000,"publicationDate":"2022-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"GENERALIZED (ψ, θ, ϕ)-CONTRACTION WITH APPLICATION TO ORDINARY DIFFERENTIAL EQUATIONS\",\"authors\":\"Amrish Handa\",\"doi\":\"10.22190/fumi210412014h\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We prove a unique common fixed point theorem and some coupled fixed point results satisfying generalized (ψ, θ, ϕ)-contraction on partially ordered metric spaces. With the help of results established in the first segment, we investigate the solution of periodic boundary value problems as an application. Our results improve, generalize and sharpen various well known results in the literature.\",\"PeriodicalId\":54148,\"journal\":{\"name\":\"Facta Universitatis-Series Mathematics and Informatics\",\"volume\":\"2 1\",\"pages\":\"\"},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2022-04-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Facta Universitatis-Series Mathematics and Informatics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.22190/fumi210412014h\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Facta Universitatis-Series Mathematics and Informatics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22190/fumi210412014h","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
GENERALIZED (ψ, θ, ϕ)-CONTRACTION WITH APPLICATION TO ORDINARY DIFFERENTIAL EQUATIONS
We prove a unique common fixed point theorem and some coupled fixed point results satisfying generalized (ψ, θ, ϕ)-contraction on partially ordered metric spaces. With the help of results established in the first segment, we investigate the solution of periodic boundary value problems as an application. Our results improve, generalize and sharpen various well known results in the literature.
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