Coupled Fixed Point and Best Proximity Point Results Involving Simulation Functions

被引：0

作者：

Pari, Dhivya ^{[1
]}

Radenovic, Stojan ^{[2
]}

Muthiah, Marudai ^{[1
]}

Bin-Mohsin, Bandar ^{[3
]}

机构：

[1] Bharathidasan Univ, Dept Math, Tiruchirappalli, Tamilnadu, India

[2] Univ Belgrade, Fac Mech Engn, Kraljice Marije 16, Beograd 35, Serbia

[3] King Saud Univ, Coll Sci, Dept Math, Riyadh 11451, Saudi Arabia

来源：

BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA | 2023年 / 41卷

关键词：

Coupled fixed points; best proximity points; simulation functions; partially ordered set; METRIC-SPACES; THEOREMS; CONVERGENCE; EXISTENCE;

D O I：

10.5269/bspm.48013

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The purpose of this paper is to prove coupled fixed point theorems using simulation functions that extend the results of Kojasteh et al [1]. As an application we prove a coupled best proximity points using simulation functions.

引用

页数：3

共 28 条

[1] Generalized cyclic contractions in partially ordered metric spaces [J].

Abkar, A. ;

Gabeleh, M. .

OPTIMIZATION LETTERS, 2012, 6 (08) :1819-1830

[2] Coupled best proximity point theorems for proximally g-Meir-Keeler type mappings in partially ordered metric spaces [J].

Abkar, Ali ;

Ghods, Samaneh ;

Azizi, Azizollah .

FIXED POINT THEORY AND APPLICATIONS, 2015,

[3] Convergence and existence results for best proximity points [J].

Al-Thagafi, M. A. ;

Shahzad, Naseer .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (10) :3665-3671

[4]

[Anonymous], 2016, Fixed Point Theory Appl.

[5]

[Anonymous], 2018, J COMPUT ANAL APPL

[6] Discrete optimization in partially ordered sets [J].

Basha, S. Sadiq .

JOURNAL OF GLOBAL OPTIMIZATION, 2012, 54 (03) :511-517

[7]

Basha SS, 2000, J APPROX THEORY, V103, P119

[8] Fixed point theorems in partially ordered metric spaces and applications [J].

Bhaskar, T. Gnana ;

Lakshmikantham, V. .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2006, 65 (07) :1379-1393

[9] Simulation functions: a survey of recent results [J].

Chanda, Ankush ;

Dey, Lakshmi Kanta ;

Radenovic, Stojan .

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2019, 113 (03) :2923-2957

[10]

Chandok S, 2018, B SOCIEDADE PARANAEN

← 1 2 3 →