Coupled fixed point theorems for rational type contractions

被引：0

作者：

Oprea, Anca ^{[1
]}

Petrusel, Gabriela ^{[2
]}

机构：

[1] Babes Bolyai Univ, Fac Math & Comp Sci, Cluj Napoca 400084, Romania

[2] Babes Bolyai Univ, Fac Business, Str Horea 7, Cluj Napoca, Romania

来源：

STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA | 2016年 / 61卷 / 04期

关键词：

Fixed point; ordered metric space; rational type contraction; coupled fixed point; data dependence; well-posedness; Ulam-Hyers stability; limit shadowing property;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we will consider the coupled fixed problem in b-metric space for single-valued operators satisfying a generalized contraction condition of rational type. First part of the paper concerns with some fixed point theorems, while the second part presents a study of the solution set of the coupled fixed point problem. More precisely, we will present some existence and uniqueness theorems for the coupled fixed point problem, as well as a qualitative study of it (data dependence of the coupled fixed point set, well-posedness, Ulam-Hyers stability and the limit shadowing property of the coupled fixed point problem) under some rational type contraction assumptions on the mapping.

引用

页码：473 / 488

页数：16

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