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
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
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页数:11
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