Common fixed point results for weak contractive mappings in ordered b-dislocated metric spaces with applications

被引：43

作者：

Hussain, Nawab ^{[1
]}

Roshan, Jamal Rezaei ^{[2
]}

Parvaneh, Vahid ^{[3
]}

Abbas, Mujahid ^{[4
]}

机构：

[1] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia

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

[3] Islamic Azad Univ, Young Researchers & Elite Club, Kermanshah Branch, Kermanshah, Iran

[4] Univ Pretoria, Dept Math & Appl Math, ZA-0002 Pretoria, South Africa

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2013年

关键词：

coincidence point; common fixed point; dislocated metric space; b-dislocated metric space; dominating and dominated maps; altering distance function; THEOREMS;

D O I：

10.1186/1029-242X-2013-486

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We first introduce a new concept of b-dislocated metric space as a generalization of dislocated metric space and analyze different properties of such spaces. A fundamental result for the convergence of sequences in b-dislocated metric spaces is established and is employed to prove some common fixed point results for four mappings satisfying the generalized weak contractive condition in partially ordered b-dislocated metric spaces. Moreover, some examples and applications to integral equations are given here to illustrate the usability of the obtained results.

引用

页数：21

共 23 条

[1]

Aage C., 2008, Appl. Math. Sci., V2, P2941

[2] Finding solutions of implicit complementarity problems by isotonicity of the metric projection [J].

Abbas, M. ;

Nemeth, S. Z. .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (04) :2349-2361

[3] 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

[4]

Daheriya R., 2012, ISRN Math. Anal., V2012

[5]

George R., 2013, Int. J. Math. Anal., P403

[6]

Hitzler P., 2000, J. Electr. Eng, V51, P3

[7]

Hitzler P., 2001, THESIS

[8] KKM mappings in cone b-metric spaces [J].

Hussain, N. ;

Shah, M. H. .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (04) :1677-1684

[9] Suzuki-type fixed point results in metric type spaces [J].

Hussain, Nawab ;

Doric, Dragan ;

Kadelburg, Zoran ;

Radenovic, Stojan .

FIXED POINT THEORY AND APPLICATIONS, 2012,

[10] Comparison Functions and Fixed Point Results in Partial Metric Spaces [J].

Hussain, Nawab ;

Kadelburg, Zoran ;

Radenovic, Stojan ;

Al-Solamy, Falleh .

ABSTRACT AND APPLIED ANALYSIS, 2012,

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