On new fixed point results for (α, ψ, ξ)-contractive multi-valued mappings on α-complete metric spaces and their consequences

被引：19
|
作者：
Kutbi, Marwan Amin [1 ]
Sintunavarat, Wutiphol [2 ]
机构：
[1] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia
[2] Thammasat Univ, Fac Sci & Technol, Dept Math & Stat, Rangsit Ctr, Pathum Thani 12121, Thailand
来源：
FIXED POINT THEORY AND APPLICATIONS | 2015年
关键词：
(alpha; psi; xi)-contractive multi-valued mappings; alpha-complete metric spaces; alpha-admissible multi-valued mappings; alpha(*)-admissible multi-valued mappings; Bianchini-Grandolfi gauge functions; GENERALIZED CONTRACTIONS; GRAPH; MULTIFUNCTIONS; PRINCIPLE; THEOREMS;
D O I：
10.1186/1687-1812-2015-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The purpose of this paper is to establish new fixed point results for multi-valued mappings satisfying an (alpha,psi,xi)-contractive condition, and via Bianchini-Grandolfi gauge functions, on alpha-complete metric spaces. Our results unify, generalize, and complement various results from the literature. We also give examples which support our main result while previous results in the literature are not applicable. Some of the fixed point results in metric spaces endowed with an arbitrary binary relation and endowed with a graph are given here to illustrate the usability of the obtained results.
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收藏
页数：15
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