FIXED POINT OF MULTIVALUED CONTRACTIONS IN ORTHOGONAL MODULAR METRIC SPACES

被引：0
|
作者：
Hosseini, Hoda [1 ]
Gordji, Majid Eshaghi [2 ]
机构：
[1] Islamic Azad Univ, Karaj Branch, Dept Math, Fac Math, Karaj, Iran
[2] Semnan Univ, Dept Math, Fac Math, POB 35195-363, Semnan, Iran
来源：
FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS | 2019年 / 34卷 / 02期
关键词：
Fixed point theorem; metric space; contraction; partial order; SETS;
D O I：
10.22190/FUMI1902193H
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we generalize the notion of O-set and establish some fixed point theorems for perpendicular to-alpha -psi-contraction multifunction in the setting of orthogonal modular metric spaces. As consequences of these results we deduce some theorems in orthogonal modular metric spaces endowed with a graph and partial order. Finally, we establish some theorems for integral type contraction multifunctions and give some examples to demonstrate the validity of the results.
引用
收藏
页码：193 / 212
页数：20
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