Multivalued Contraction Fixed-Point Theorem in b-Metric Spaces

被引：0

作者：

Slimani, Bachir ^{[1
]}

Graef, John R. ^{[2
]}

Ouahab, Abdelghani ^{[1
]}

机构：

[1] Univ Djillali Liabes Sidi Bel Abbes, Lab Math, POB 89, Sidi Bel Abbes 2200, Algeria

[2] Univ Tennessee Chattanooga, Dept Math, Chattanooga, TN 37403 USA

来源：

MATHEMATICS | 2024年 / 12卷 / 04期

关键词：

b-metric spaces; fixed-point theorems; multivalued maps; contractions;

D O I：

10.3390/math12040567

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The authors explore fixed-point theory in b-metric spaces and strong b-metric spaces. They wish to prove some new extensions of the Covitz and Nadler fixed-point theorem in b-metric spaces. In so doing, they wish to answer a question proposed by Kirk and Shahzad about Nadler's theorem holding in strong b-metric spaces. In addition, they offer an improvement to the fixed-point theorem proven by Dontchev and Hager.

引用

页数：11

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