Coincidence Quasi-Best Proximity Points for Quasi-Cyclic-Noncyclic Mappings in Convex Metric Spaces

被引：0

作者：

Abkar, Ali ^{[1
]}

Norouzian, Masoud ^{[1
]}

机构：

[1] Imam Khomeini Int Univ, Fac Sci, Dept Pure Math, Qazvin 34149, Iran

来源：

IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS | 2022年 / 17卷 / 01期

关键词：

Coincidence-best proximity point; Cyclic-noncyclic contraction; Quasi-cyclic-noncyclic contraction; Uniformly convex metric space; EXISTENCE; CONVERGENCE; THEOREMS;

D O I：

10.52547/ijmsi.17.1.27

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce the notion of quasi-cyclic-noncyclic pair and its relevant new notion of coincidence quasi-best proximity points in a convex metric space. In this way we generalize the notion of coincidence-best proximity point already introduced by M. Gabeleh et al [14]. It turns out that under some circumstances this new class of mappings contains the class of cyclic-noncyclic mappings as a subclass. The existence and convergence of coincidence-best and coincidence quasi-best proximity points in the setting of convex metric spaces are investigated.

引用

页码：27 / 46

页数：20

共 27 条

[1] Best Proximity Points for Cyclic Mappings in Ordered Metric Spaces
Abkar, A.
Gabeleh, M.
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2011, 150 (01) : 188 - 193
[2] Convergence and existence results for best proximity points
Al-Thagafi, M. A.
Shahzad, Naseer
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (10) : 3665 - 3671
[3] Tripled fixed point theorems for contractive type mappings in partially ordered metric spaces
Berinde, Vasile
Borcut, Marin
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (15) : 4889 - 4897
[4] TRIPLED BEST PROXIMITY POINT THEOREM IN METRIC SPACES
Cho, Yeol Je
Gupta, Animesh
Karapinar, Erdal
Kumam, Poom
Sintunavarat, Wutiphol
[J]. MATHEMATICAL INEQUALITIES & APPLICATIONS, 2013, 16 (04): : 1197 - 1216
[5] Some Results on Fixed and Best Proximity Points of Multivalued Cyclic Self-Mappings with a Partial Order
De la Sen, M.
[J]. ABSTRACT AND APPLIED ANALYSIS, 2013,
[6] Some fixed point-type results for a class of extended cyclic self-mappings with a more general contractive condition
De la Sen, M.
Agarwal, Ravi P.
[J]. FIXED POINT THEORY AND APPLICATIONS, 2011, : 1 - 14
[7] Best proximity points for cyclic Meir-Keeler contractions
Di Bari, Cristina
Suzuki, Tomonari
Vetro, Calogero
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (11) : 3790 - 3794
[8] Existence and convergence of best proximity points
Eldred, A. Anthony
Veeramani, P.
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 323 (02) : 1001 - 1006
[9] Proximal normal structure and relatively nonexpansive mappings
Eldred, AA
Kirk, WA
Veeramani, P
[J]. STUDIA MATHEMATICA, 2005, 171 (03) : 283 - 293
[10] On the Structure of Minimal Sets of Relatively Nonexpansive Mappings
Espinola, Rafa
Gabeleh, Moosa
[J]. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2013, 34 (08) : 845 - 860

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