EXISTENCE AND CONVERGENCE OF BEST PROXIMITY POINTS FOR SEMI CYCLIC CONTRACTION PAIRS

被引：0

作者：

Thakur, Balwant Singh ^{[1
]}

Sharma, Ajay ^{[1
]}

机构：

[1] Pt Ravishankar Shukla Univ, Sch Studies Math, Raipur 492010, Madhya Pradesh, India

来源：

INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS | 2014年 / 5卷 / 01期

关键词：

Best proximity point; fixed point; semicyclic phi-contraction; metric space; Banach space;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we introduce the notion of a semi cyclic '-contraction pair of mappings, which contains semi cyclic contraction pairs as a subclass. Existence and convergence results of best proximity points for semi cyclic phi- contraction pair of mappings are obtained.

引用

页码：33 / 44

页数：12

共 50 条

[1] Convergence and existence results for best proximity points
Al-Thagafi, M. A.
Shahzad, Naseer
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (10) : 3665 - 3671
[2] Convergence and Best Proximity Points for Generalized Contraction Pairs
Sahmim, Slah
Felhi, Abdelbasset
Aydi, Hassen
MATHEMATICS, 2019, 7 (02)
[3] The existence and convergence of best proximity points for generalized proximal contraction mappings
Wutiphol Sintunavarat
Poom Kumam
Fixed Point Theory and Applications, 2014
[4] The existence and convergence of best proximity points for generalized proximal contraction mappings
Kumam, Wutiphol Sintunavarat Poom
FIXED POINT THEORY AND APPLICATIONS, 2014,
[5] Convergence and existence results for best C-proximity points
Pathak, Hemant Kumar
Shahzad, Naseer
GEORGIAN MATHEMATICAL JOURNAL, 2012, 19 (02) : 301 - 316
[6] Existence and Approximation of Best Proximity Points and Fixed Points of Cyclic Generalized θ-Contraction Maps
Safari-Hafshejani, Akram
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2025, 22 (01)
[7] Existence of Best Proximity Points for a Class of Generalized Cyclic Contraction Mappings
Niyom, Somboon
Boriwan, Pornpimon
Petrot, Narin
THAI JOURNAL OF MATHEMATICS, 2018, 16 (01): : 173 - 182
[8] Existence and convergence of best proximity points
Eldred, A. Anthony
Veeramani, P.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 323 (02) : 1001 - 1006
[9] Some remarks on convergence of best proximity points and Semi-cyclic contractions
M. Gabeleh
G. Sankara Raju Kosuru
Rendiconti del Circolo Matematico di Palermo Series 2, 2023, 72 : 2429 - 2442
[10] Some remarks on convergence of best proximity points and Semi-cyclic contractions
Gabeleh, M.
Kosuru, G. Sankara Raju
RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2023, 72 (04) : 2429 - 2442

← 1 2 3 4 5 →