Existence of Common Fixed Point for b-Metric Rational Type Contraction

被引：10

作者：

Abbas, Mujahid ^{[1
,2
]}

Chema, Imran Zulfiqar ^{[3
]}

Razani, Abdolrahman ^{[4
]}

机构：

[1] Univ Pretoria, Dept Math & Appl Math, Lymwood Rd, ZA-0002 Pretoria, South Africa

[2] King Abdulaziz Univ, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia

[3] COMSATS Inst Informat Technol, Dept Math, Lahore, Pakistan

[4] Imam Khomeini Int Univ, Fac Sci, Dept Math, Qazvin 3414916818, Iran

来源：

FILOMAT | 2016年 / 30卷 / 06期

关键词：

common fixed point; compatible maps; b-metric space; partially ordered set; PARTIALLY ORDERED SETS; MAPPINGS; THEOREMS; MAPS;

D O I：

10.2298/FIL1606413A

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The necessary conditions for existence of a common fixed point of two mappings satisfying generalized b-order contractive condition in the setting of a partially ordered b-complete b-metric space are presented. Also, we study well-posedness of common fixed point problem for generalized b-order contractive mappings. We employ our result to establish an existence of a solution of an integral equation.

引用

页码：1413 / 1429

页数：17

共 39 条

[1]

Abbas M., 2012, FIXED POINT THEORY A, V60

[2] Common fixed points of R-weakly commuting maps in generalized metric spaces [J].

Abbas, Mujahid ;

Khan, Safeer Hussain ;

Nazir, Talat .

FIXED POINT THEORY AND APPLICATIONS, 2011,

[3] Common fixed points of four maps in partially ordered metric spaces [J].

Abbas, Mujahid ;

Nazir, Talat ;

Radenovic, Stojan .

APPLIED MATHEMATICS LETTERS, 2011, 24 (09) :1520-1526

[4] COMMON FIXED POINT THEOREM FOR FOUR MAPPINGS SATISFYING GENERALIZED WEAK CONTRACTIVE CONDITION [J].

Abbas, Mujahid ;

Doric, Dragan .

FILOMAT, 2010, 24 (02) :1-10

[5] Common fixed point of generalized weak contractive mappings in partially ordered b-metric spaces [J].

Aghajani, Asadollah ;

Abbas, Mujahid ;

Roshan, Jamal Rezaei .

MATHEMATICA SLOVACA, 2014, 64 (04) :941-960

[6]

Alber Ya. I., 1997, Adv. Appl., Birkhauser Verlag,, V98, P7

[7] Fixed point and common fixed point theorems on ordered cone metric spaces [J].

Altun, Ishak ;

Damjanovic, Bosko ;

Djoric, Dragan .

APPLIED MATHEMATICS LETTERS, 2010, 23 (03) :310-316

[8]

Amini-Harandi A, 2014, FIXED POINT THEOR-RO, V15, P351

[9] A fixed point theorem for contraction type maps in partially ordered metric spaces and application to ordinary differential equations [J].

Amini-Harandi, A. ;

Emami, H. .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (05) :2238-2242

[10] Coincidence point and invariant approximation for mappings satisfying generalized weak contractive condition [J].

Beg, Ismat ;

Abbas, Mujahid .

FIXED POINT THEORY AND APPLICATIONS, 2006, 2006 (1)

← 1 2 3 4 →