Generalized Contractions to Coupled Fixed Point Theorems in Partially Ordered Metric Spaces

被引：16

作者：

Rao, N. Seshagiri ^{[1
]}

Kalyani, Karusala ^{[2
]}

机构：

[1] Adama Sci & Technol Univ, Sch Appl Nat Sci, Dept Appl Math, Adama, Ethiopia

[2] Vignans Fdn Sci Technol & Res, Vadlamudi, Andhra Pradesh, India

来源：

JOURNAL OF SIBERIAN FEDERAL UNIVERSITY-MATHEMATICS & PHYSICS | 2020年 / 13卷 / 04期

关键词：

partially ordered metric spaces; rational contractions; coupled fixed point; monotone property; MIXED MONOTONE MAPPINGS; NONLINEAR CONTRACTIONS; SETS;

D O I：

10.17516/1997-1397-2020-13-4-492-502

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The purpose of this paper is to establish some coupled fixed point theorems for a self mapping satisfying certain rational type contractions along with strict mixed monotone property in a metric space endowed with partial order. Also, we have given the result of existence and uniqueness of a coupled fixed point for the mapping. This result generalize and extend several well known results in the literature.

引用

页码：492 / 502

页数：11