Volume 7, Issue 4 (Vol. 7,No. 4, 2021)
mmr 2021, 7(4): 829-842 |
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Safari-Hafshejani A. Fixed points of two types of non-cyclic contractions and their relationship with best proximity points of the corresponding cyclic contractions. mmr 2021; 7 (4) :829-842
URL: http://mmr.khu.ac.ir/article-1-2967-en.html
URL: http://mmr.khu.ac.ir/article-1-2967-en.html
Payamenoor University , asafari@pnu.ac.ir
Abstract: (1057 Views)
Let and be nonempty subsets of metric space . In this paper, first we introduce two types of non-cyclic contractions on Then we study the existence and uniqueness of an optimal pair of fixed points for such mappings by considering property UC, in metric spaces. Our main results are generalization of recent best proximity points theorems for the corresponding cyclic contractions due to Di Bari-Suzuki-Vetro and Felicit-Eldred.
Keywords: Fixed point, Best proximity point, Non-cyclic and cyclic mappings, Meir-Keeler contraction, property UC
Type of Study: S |
Subject:
Mat
Received: 2019/06/19 | Revised: 2022/11/15 | Accepted: 2020/06/23 | Published: 2022/03/29 | ePublished: 2022/03/29
Received: 2019/06/19 | Revised: 2022/11/15 | Accepted: 2020/06/23 | Published: 2022/03/29 | ePublished: 2022/03/29
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