Common fixed point of set valued graph Aφ-contraction pair and generalized φ-weak G-contraction on metric space endowed with a graph

被引：0

作者：

Neog, Murchana ^{[1
]}

Debnath, Pradip ^{[2
]}

Radenovic, Stojan ^{[3
]}

机构：

[1] North Eastern Reg Inst Sci & Technol, Dept Math, Nirjuli 791109, Arunachal, India

[2] Assam Univ, Dept Appl Sci & Humanities, Silchar 788011, Assam, India

[3] King Saud Univ, Coll Sci, Dept Math, Riyadh 11451, Saudi Arabia

来源：

ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES | 2020年 / 47卷 / 01期

关键词：

common fixed point; set valued mapping; set valued domain; mu-graph; graph A(phi)-contraction pair; generalized phi-weak G contraction; PARTIALLY ORDERED SETS; THEOREMS; MAPPINGS;

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 define the notion of graph A(phi)-contraction pair and generalized phi-weak G contraction on subsets of a metric space involving a graph. Using such contractions, the existence as well as uniqueness of common fixed point for set valued mappings with set valued domain involving a directed graph have been examined. Suitable examples are presented to validate the non-triviality the results. We particularly generalize and extend the results due to Zhang and Song [Fixed point theory for generalized yo-weak contractions. Appl. Math. Lett., 22:75-78, 2009].

引用

页码：158 / 169

页数：12

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