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

被引：2
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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