FIXED POINT THEOREMS FOR SUBSEQUENTIALLY MULTI-VALUED Fδ-CONTRACTIONS IN METRIC SPACES

被引:1
作者
Beloul, Said [1 ]
Kaddouri, Heddi [2 ]
机构
[1] Univ El Oued, Dept Math, Exact Sci Fac, POB 789, El Oued 39000, Algeria
[2] Univ El Oued, Dept Math, Operators Theory & PDE Lab, Exact Sci Fac, POB 789, El Oued 39000, Algeria
来源
FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS | 2020年 / 35卷 / 02期
关键词
Subsequentially continuous; delta-compatible; F-contraction; Hardy Rogers contraction; integral inclusion; MAPPINGS;
D O I
10.22190/FUMI2002379B
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The aim of this paper is to prove common fixed point theorems for multi-valued contraction of Wordowski type, by using the concept of subsequential continuity in the setting of set valued context contractions with compatibility. We have also given an example and an application to integral inclusions of Fredholm type to support our results.
引用
收藏
页码:379 / 392
页数:14
相关论文
共 17 条
[1]  
Acar O., 2014, ABSTR APPL ANAL, V40, P1469
[2]  
Acar Ö, 2017, RESULTS MATH, V72, P1545, DOI 10.1007/s00025-017-0705-5
[3]  
[Anonymous], 2009, ARXIV09063159V1MATHF
[4]  
Beloul S., 2017, MATH MORAVICA, V21, P15
[5]  
Beloul S, 2017, THAI J MATH, V15, P349
[6]   GENERALIZATION OF BANACHS CONTRACTION PRINCIPLE [J].
CIRIC, LB .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 45 (02) :267-273
[7]   Fixed Point Results for F-Contractive Mappings of Hardy-Rogers-Type [J].
Cosentino, Monica ;
Vetro, Pasquale .
FILOMAT, 2014, 28 (04) :715-722
[8]  
Fisher B., 1981, B MALAYS MATH SCI SO, V2, P95
[9]   GENERALIZATION OF A FIXED-POINT THEOREM OF REICH [J].
HARDY, GE ;
ROGERS, TD .
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1973, 16 (02) :201-206
[10]  
Liu C., 1992, QUFU SHIFAN DAXUE XU, V18, P6