Fixed points of two types of non-cyclic contractions and their relationship with best proximity points of the corresponding cyclic contractions

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 generali...

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Bibliographic Details
Main Author: Akram Safari-Hafshejani
Format: Article
Language:fas
Published: Kharazmi University 2021-05-01
Series:پژوهش‌های ریاضی
Subjects:
Online Access:http://mmr.khu.ac.ir/article-1-2967-en.html