A generalization on weak contractions in partially ordered b-metric spaces and its application to quadratic integral equations

被引：19

作者：

Allahyari, Reza ^{[1
]}

Arab, Reza ^{[2
]}

Haghighi, Ali Shole ^{[3
]}

机构：

[1] Islamic Azad Univ, Mashhad Branch, Dept Math, Mashhad, Iran

[2] Islamic Azad Univ, Sari Branch, Dept Math, Sari, Iran

[3] Islamic Azad Univ, Karaj Branch, Dept Math, Alborz, Iran

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2014年

关键词：

fixed point; common fixed point; coincidence point; integral equations; b-metric space; partially ordered set; FIXED-POINT THEOREMS; MAPPINGS; SYSTEM; SETS;

D O I：

10.1186/1029-242X-2014-355

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce the notion of almost generalized (psi, phi, L)-contractive mappings, and establish the coincidence and common fixed point results for this class of mappings in partially ordered complete b-metric spaces. Our results extend and improve several known results from the context of ordered metric spaces to the setting of ordered b-metric spaces. As an application, we prove the existence of a unique solution to a class of nonlinear quadratic integral equations.

引用

页码：1 / 15

页数：15

共 53 条

[1] 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

[2] 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

[3] Fixed points of (ψ,φ,θ)-contractive mappings in partially ordered b-metric spaces and application to quadratic integral equations [J].

Aghajani, Asadollah ;

Arab, Reza .

FIXED POINT THEORY AND APPLICATIONS, 2013,

[4] Common fixed point results for four mappings satisfying almost generalized (S, T)-contractive condition in partially ordered metric spaces [J].

Aghajani, Asadollah ;

Radenovic, Stojan ;

Roshan, Jamal Rezaei .

APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (09) :5665-5670

[5] INTEGRAL TEST FOR SERIES AND GENERALIZED CONTRACTIONS [J].

ALTMAN, M .

AMERICAN MATHEMATICAL MONTHLY, 1975, 82 (08) :827-829

[6] Some fixed point theorems on ordered cone metric spaces [J].

Altun I. ;

Durmaz G. .

Rendiconti del Circolo Matematico di Palermo, 2009, 58 (2) :319-325

[7] Multivalued fixed point theorems in cone b-metric spaces [J].

Azam, Akbar ;

Mehmood, Nayyar ;

Ahmad, Jamshaid ;

Radenovic, Stojan .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,

[8]

Babu GVR, 2008, CARPATHIAN J MATH, V24, P8

[9] Fixed point for set-valued mappings satisfying an implicit relation in partially ordered metric spaces [J].

Beg, Ismat ;

Butt, Asma Rashid .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (09) :3699-3704

[10]

Berinde V, 2009, CARPATHIAN J MATH, V25, P157

← 1 2 3 4 5 6 →