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.
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页码：492 / 502
页数：11
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