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.

引用

页数：14

共 50 条

[1] Best Proximity Points and Fixed Points Results for Noncyclic and Cyclic Fisher Quasi-contractions
Safari-Hafshejani, Akram
Amini-Harandi, Alireza
Fakhar, Majid
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2019, 40 (05) : 603 - 619
[2] Best proximity point results for generalized contractions in metric spaces
Amini-Harandi, Alireza
Hussain, Nawab
Akbar, Farhana
FIXED POINT THEORY AND APPLICATIONS, 2013,
[3] Completeness of b-Metric Spaces and Best Proximity Points of Nonself Quasi-Contractions
Khan, Arshad Ali
Ali, Basit
SYMMETRY-BASEL, 2021, 13 (11):
[4] THE EXISTENCE OF BEST PROXIMITY POINTS FOR GENERALIZED CYCLIC QUASI-CONTRACTIONS IN METRIC SPACES WITH THE UC AND ULTRAMETRIC PROPERTIES
Safari-Hafshejani, Akram
FIXED POINT THEORY, 2022, 23 (02): : 507 - 518
[5] Cyclic Fisher (Ψ, R)-quasi-contractions in metric spaces equipped with a semi-partial order relation
Safari-Hafshejani, A.
Gabeleh, M.
Rakocevic, V.
RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2024, 73 (04) : 1395 - 1411
[6] BEST PROXIMITY POINT OF ZAMFIRESCU CONTRACTIONS OF PEROV TYPE ON REGULAR CONE METRIC SPACES
Abbas, Mujahid
Rakocevic, Vladimir
Hussain, Azhar
FIXED POINT THEORY, 2020, 21 (01): : 3 - 17
[7] The existence of best proximity points for cyclic quasi-φ-contractions in metric spaces
Safari-Hafshejani, Akram
FILOMAT, 2024, 38 (05) : 1751 - 1761
[8] Best Proximity Point Theorems for Generalized Cyclic Contractions in Ordered Metric Spaces
Mongkolkeha, Chirasak
Kumam, Poom
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2012, 155 (01) : 215 - 226
[9] Best proximity point results for generalized contractions in metric spaces
Alireza Amini-Harandi
Nawab Hussain
Farhana Akbar
Fixed Point Theory and Applications, 2013
[10] Some Results on Best Proximity Points of Cyclic Contractions in Probabilistic Metric Spaces
De la Sen, Manuel
Karapinar, Erdal
JOURNAL OF FUNCTION SPACES, 2015, 2015

← 1 2 3 4 5 →