Unique Fixed-Point Results for β-Admissible Mapping under (β-ψ)-Contraction in Complete Dislocated Gd-Metric Space

被引：4

作者：

Al-Mazrooei, Abdullah Eqal ^{[1
]}

Shoaib, Abdullah ^{[2
]}

Ahmad, Jamshaid ^{[1
]}

机构：

[1] Univ Jeddah, Dept Math, POB 80327, Jeddah 21589, Saudi Arabia

[2] Riphah Int Univ, Dept Math & Stat, Islamabad 44000, Pakistan

来源：

MATHEMATICS | 2020年 / 8卷 / 09期

关键词：

closed G(d) ball; dislocated G(d)-metric space; beta-admissible mapping; beta-psi contraction; unique fixed point; PARTIALLY ORDERED SETS; METRIC-SPACES; CLOSED BALL; THEOREMS;

D O I：

10.3390/math8091584

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is designed to display some results which generalize the recent results that cannot be established from the corresponding results in other spaces and do not satisfy the remarks of Jleli et al. (Fixed Point Theor Appl. 210, 2012) and Samet et al. (Int. J. Anal. Article ID 917158, 2013). We obtain unique fixed-point for mapping satisfying beta-psi; contraction only on a closed Gd ball in complete dislocated Gd-metric space. An example is also discussed to shed light on the main result.

引用

页数：13

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