Fuzzy b-Metric Spaces: Fixed Point Results for ψ-Contraction Correspondences and Their Application

被引：13
|
作者：
Abbas, Mujahid [1 ,2 ]
Lael, Fatemeh [3 ]
Saleem, Naeem [4 ]
机构：
[1] Govt Coll Univ, Dept Math, Lahore 54770, Pakistan
[2] Univ Pretoria, Dept Math & Appl Math, Lynnwood Rd, ZA-0002 Pretoria, South Africa
[3] Buein Zahra Tech Univ, Dept Math, Buein Zahra 3451745346, Qazvin, Iran
[4] Univ Management & Technol, Dept Math, Lahore 54400, Pakistan
来源：
AXIOMS | 2020年 / 9卷 / 02期
关键词：
fixed point; correspondence; fuzzy b-metric space; b-metric space; MULTIVALUED CONTRACTIONS; OPTIMAL COINCIDENCE; MAPPINGS; THEOREMS;
D O I：
10.3390/axioms9020036
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we introduce the concepts of psi-contraction and monotone psi-contraction correspondence in "fuzzy b-metric spaces" and obtain fixed point results for these contractive mappings. The obtained results generalize some existing ones in fuzzy metric spaces and "fuzzy b-metric spaces". Further we address an open problem in b-metric and "fuzzy b-metric spaces". To elaborate the results obtained herein we provide an example that shows the usability of the obtained results.
引用
收藏
页数：12
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