{"title":"Fixed point theorem for Interpolative contraction of Suzuki type mappings in CAT (0) spaces","authors":"Muhammad Sarwar , Nabil Mlaiki , Faisal Iqbal","doi":"10.1016/j.rico.2025.100566","DOIUrl":null,"url":null,"abstract":"<div><div>In this work, we obtained a fixed point theorems <span><math><mrow><mi>ω</mi><mo>−</mo><mi>ψ</mi><mo>−</mo></mrow></math></span>interpolative Hardy–Rogers contraction, <span><math><mrow><mi>ω</mi><mo>−</mo><mi>ψ</mi><mo>−</mo></mrow></math></span>interpolative Kannan contraction and <span><math><mrow><mi>ω</mi><mo>−</mo><mi>ψ</mi><mo>−</mo></mrow></math></span>interpolative Reich–Rus–Ciric type contraction for Suzuki generalized non-expansive mappings in the context of complete CAT(0) metric space. The novelty of this finding as to explore the interplay between the geometric properties of CAT (0) metric spaces and the analytical conditions imposed by Suzuki-generalized nonexpansive mappings.</div></div>","PeriodicalId":34733,"journal":{"name":"Results in Control and Optimization","volume":"19 ","pages":"Article 100566"},"PeriodicalIF":3.2000,"publicationDate":"2025-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Results in Control and Optimization","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2666720725000529","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2025/4/23 0:00:00","PubModel":"Epub","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 0
Abstract
In this work, we obtained a fixed point theorems interpolative Hardy–Rogers contraction, interpolative Kannan contraction and interpolative Reich–Rus–Ciric type contraction for Suzuki generalized non-expansive mappings in the context of complete CAT(0) metric space. The novelty of this finding as to explore the interplay between the geometric properties of CAT (0) metric spaces and the analytical conditions imposed by Suzuki-generalized nonexpansive mappings.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
