Best Proximity Point Results for n-Cyclic and Regular-n-Noncyclic Fisher Quasi-Contractions in Metric Spaces

被引：3

作者：

Fallahi, Kamal ^{[1
]}

Ayobian, Morteza ^{[1
]}

Soleimani Rad, Ghasem ^{[1
]}

机构：

[1] Payame Noor Univ, Dept Math, POB 19395-4697, Tehran, Iran

来源：

SYMMETRY-BASEL | 2023年 / 15卷 / 07期

关键词：

best proximity point; n-cyclic Fisher quasi-contraction mapping; regular-n-noncyclic and full-n-noncyclic Fisher quasi-contraction mapping; THEOREMS; EXISTENCE;

D O I：

10.3390/sym15071469

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this work, we introduce some new concepts such as n-cyclic Fisher quasi-contraction mappings, full-n-noncyclic and regular-n-noncyclic Fisher quasi-contraction mappings in metric spaces. We then generalize the results by Safari-Hafshejani, Amini-Harandi and Fakhar. Meanwhile, we answer the question "under what conditions does a full-n-noncyclic Fisher quasi-contraction mapping have n(n-1)/2 unique optimal pairs of fixed points?". Further, to support the main results, we highlight all of the new concepts via non-trivial examples.

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页数：14

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