Some Extended Results for Multivalued F-Contraction Mappings

被引：5
|
作者：
Sahin, Hakan [1 ]
Aslantas, Mustafa [2 ]
Nasir, Ali Abdulkareem Nasir [2 ]
机构：
[1] Bursa Tech Univ, Fac Engn & Nat Sci, Dept Math, TR-16310 Bursa, Turkiye
[2] Cankiri Karatekin Univ, Fac Sci, Dept Math, TR-18100 Cankiri, Turkiye
来源：
AXIOMS | 2023年 / 12卷 / 02期
关键词：
F-contraction; best proximity point; multivalued mappings; FIXED-POINT THEOREMS;
D O I：
10.3390/axioms12020116
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this study, we introduce a new notion, so-called KW-type F-contraction mapping, inspired by the ideas of Wardowski and Klim-Wardowski. Then, we investigate the existence of a best proximity point for such mappings by considering a new family, which is larger than the family of functions that is often used in fixed-point results for multivalued mappings. To demonstrate the effectiveness of our result, we also give a comparative example to which similar results in the literature cannot be applied. Moreover, we present an application of our main result to homotopic mappings.
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页数：13
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