Fixed Point Theorems for Weakly Contractive Mappings in Ordered Metric Spaces with an Application  

作　　者：Gopi Prasad Ramesh Chandra Dimri 

机构地区：[1]Department of Mathematics,HNB Garhwal University,Srinagar Garhwal 246174,India

出　　处：《Analysis in Theory and Applications》2022年第2期232-242,共11页分析理论与应用（英文刊）

摘　　要：In this paper,we prove fixed point theorem for weakly contractive mappings using locally T-transitivity of binary relation and presenting an analogous version of Harjani and Sadarangani theorem involving more general relation theoretic metrical notions.Our fixed point results under universal relation reduces to Harjani and Sadarangani[Nonlinear Anal.,71(2009),3403-3410]fixed point theorems.In this way we also generalize some of the recent fixed point theorems for weak contraction in the existing literature.

关 键 词：R-continuity locally T-transitive binary relation weakly contractive map 

分 类 号：O186[理学—数学]