Coupled common best proximity point theorems for nonlinear contractions in partially ordered metric spaces

被引：3

作者：

Gopi, Raju ^{[1
]}

Pragadeeswarar, Veerasamy ^{[1
]}

Park, Choonkil ^{[2
]}

Shin, Dong Yun ^{[3
]}

机构：

[1] Amrita Vishwa Vidyapeetham, Dept Math, Amrita Sch Engn, Coimbatore, Tamil Nadu, India

[2] Hanyang Univ, Res Inst Nat Sci, Seoul 04763, South Korea

[3] Univ Seoul, Dept Math, Seoul 02504, South Korea

来源：

AIMS MATHEMATICS | 2020年 / 5卷 / 06期

关键词：

p-property; coupled coincidence point; coupled fixed point; coupled common fixed point; partially ordered set; mixed monotone mapping;

D O I：

10.3934/math.2020443

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we first introduce the concept of mixed gamma-proximally monotone property type mappings and investigate the existence of the coupled proximally coincidence point for such mappings in partially ordered complete metric spaces. Furthermore, we prove the existence and uniqueness of coupled common best proximity points. Our results extend, improve and generalize several known results in the literature.

引用

页码：6913 / 6928

页数：16

共 14 条

[1]

Abkar A., 2015, FIXED POINT THEORY A, V2015, P1

[2] Generalized contractions in partially ordered metric spaces [J].

Agarwal, Ravi P. ;

El-Gebeily, M. A. ;

O'Regan, Donal .

APPLICABLE ANALYSIS, 2008, 87 (01) :109-116

[3]

Alghamdi M.A., 2013, J INEQUAL APPL, V2013, P1

[4] 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

[5]

Choudhury B. S., 2015, FIXED POINT THEORY A, V2015, P1

[6] COUPLED FIXED-POINTS OF NONLINEAR OPERATORS WITH APPLICATIONS [J].

GUO, D ;

LAKSHMIKANTHAM, V .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1987, 11 (05) :623-632

[7] Coupled fixed points for Chatterjea type maps with the mixed monotone property in partially ordered metric spaces [J].

Hristov, Miroslav ;

Ilchev, Atanas ;

Zlatanov, Boyan .

PROCEEDINGS OF THE 45TH INTERNATIONAL CONFERENCE ON APPLICATION OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE'19), 2019, 2172

[8] Error estimates for approximation of coupled best proximity points for cyclic contractive maps [J].

Ilchev, A. ;

Zlatanov, B. .

APPLIED MATHEMATICS AND COMPUTATION, 2016, 290 :412-425

[9]

Kumam P., 2014, FIXED POINT THEORY A, V2014, P1

[10] Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces [J].

Lakshmikantham, V. ;

Ciric, Ljubomir .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (12) :4341-4349

← 1 2 →