Fixed points of JS']JS-contractive mappings with applications

被引：3

作者：

Prasad, Gopi ^{[1
]}

Khantwal, Deepak ^{[2
,3
]}

机构：

[1] Dr Shivanand Nautiyal Govt Post Grad Coll, Dept Math, Karanprayag, Uttarakhand, India

[2] Univ Johannesburg, Dept Math & Appl Math, Johannesburg, South Africa

[3] Graph Era Hill Univ, Dept Math, Dehra Dun, Uttarakhand, India

来源：

JOURNAL OF ANALYSIS | 2023年 / 31卷 / 04期

关键词：

!text type='JS']JS[!/text]-contraction; Admissible mapping; Functional equation; Dynamic programming; FUNCTIONAL-EQUATIONS; F-CONTRACTIONS; METRIC SPACE; THEOREMS;

D O I：

10.1007/s41478-023-00598-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Aim is to present a new type of contractive mappings and establish the existence and uniqueness of fixed points for the same by utilizing the concepts of alpha-admissible mapping and JS-contraction. For the validity of main results we present some non-trivial examples vindicating the advantage over several fixed point results of the existing literature. As applications, some new fixed point theorems are presented in the metric spaces equipped with graphical structure and sufficient conditions are discussed to ensure the existence of a solution for a functional equation arising in dynamic programming.

引用

页码：2687 / 2701

页数：15

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