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
收藏
页码：158 / 169
页数：12
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