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

Nawab Hussain; Jamal Rezaei Roshan; Vahid Parvaneh; Mujahid Abbas

doi:10.1186/1029-242X-2013-486

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

Nawab Hussain
, Jamal Rezaei Roshan
, Vahid Parvaneh
, Mujahid Abbas

Research output: Contribution to journal › Article › peer-review

57 Citations (Scopus)

Abstract

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.

Original language	English
Article number	486
Journal	Journal of Inequalities and Applications
Volume	2013
DOIs	https://doi.org/10.1186/1029-242X-2013-486
Publication status	Published - Nov 2013
Externally published	Yes

Keywords

Altering distance function
b-dislocated metric space
Coincidence point
Common fixed point
Dislocated metric space
Dominating and dominated maps

ASJC Scopus subject areas

Analysis
Discrete Mathematics and Combinatorics
Applied Mathematics

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10.1186/1029-242X-2013-486

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abstract = "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.",

keywords = "Altering distance function, b-dislocated metric space, Coincidence point, Common fixed point, Dislocated metric space, Dominating and dominated maps",

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AU - Parvaneh, Vahid

AU - Abbas, Mujahid

PY - 2013/11

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N2 - 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.

AB - 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.

KW - Altering distance function

KW - b-dislocated metric space

KW - Coincidence point

KW - Common fixed point

KW - Dislocated metric space

KW - Dominating and dominated maps

UR - https://www.scopus.com/pages/publications/84897626716

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JO - Journal of Inequalities and Applications

JF - Journal of Inequalities and Applications

M1 - 486

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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