Coupled common fixed point results in two generalized metric spaces

Mujahid Abbas; Abdul Rahim Khan; Talat Nazir

doi:10.1016/j.amc.2011.01.006

Coupled common fixed point results in two generalized metric spaces

Mujahid Abbas, Abdul Rahim Khan, Talat Nazir

Department of Mathematics

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

92 Scopus citations

Abstract

In this paper, study of necessary conditions for the existence of unique coupled common fixed point of contractive type mappings in the context of two generalized metric spaces is initiated. These results generalize several comparable results from the current literature. We also provide illustrative examples in support of our new results.

Original language	English
Pages (from-to)	6328-6336
Number of pages	9
Journal	Applied Mathematics and Computation
Volume	217
Issue number	13
DOIs	https://doi.org/10.1016/j.amc.2011.01.006
State	Published - 1 Mar 2011

Bibliographical note

Funding Information:
The first author gratefully acknowledges support granted by Higher Education Commission (HEC) Pakistan for his stay at University of Birmingham, UK as a post doctoral fellow. The second author gratefully acknowledges the support provided by King Fahd University of Petroleum and Minerals during this research and SABIC for supporting research project SB100012.

Keywords

Coupled coincidence point
Coupled common fixed point
Generalized metric space
Non-symmetric

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1016/j.amc.2011.01.006

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title = "Coupled common fixed point results in two generalized metric spaces",

abstract = "In this paper, study of necessary conditions for the existence of unique coupled common fixed point of contractive type mappings in the context of two generalized metric spaces is initiated. These results generalize several comparable results from the current literature. We also provide illustrative examples in support of our new results.",

keywords = "Coupled coincidence point, Coupled common fixed point, Generalized metric space, Non-symmetric",

author = "Mujahid Abbas and Khan, \{Abdul Rahim\} and Talat Nazir",

note = "Funding Information: The first author gratefully acknowledges support granted by Higher Education Commission (HEC) Pakistan for his stay at University of Birmingham, UK as a post doctoral fellow. The second author gratefully acknowledges the support provided by King Fahd University of Petroleum and Minerals during this research and SABIC for supporting research project SB100012. ",

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AU - Abbas, Mujahid

AU - Khan, Abdul Rahim

AU - Nazir, Talat

N1 - Funding Information: The first author gratefully acknowledges support granted by Higher Education Commission (HEC) Pakistan for his stay at University of Birmingham, UK as a post doctoral fellow. The second author gratefully acknowledges the support provided by King Fahd University of Petroleum and Minerals during this research and SABIC for supporting research project SB100012.

PY - 2011/3/1

Y1 - 2011/3/1

N2 - In this paper, study of necessary conditions for the existence of unique coupled common fixed point of contractive type mappings in the context of two generalized metric spaces is initiated. These results generalize several comparable results from the current literature. We also provide illustrative examples in support of our new results.

AB - In this paper, study of necessary conditions for the existence of unique coupled common fixed point of contractive type mappings in the context of two generalized metric spaces is initiated. These results generalize several comparable results from the current literature. We also provide illustrative examples in support of our new results.

KW - Coupled coincidence point

KW - Coupled common fixed point

KW - Generalized metric space

KW - Non-symmetric

UR - https://www.scopus.com/pages/publications/79952003710

U2 - 10.1016/j.amc.2011.01.006

DO - 10.1016/j.amc.2011.01.006

M3 - Article

AN - SCOPUS:79952003710

SN - 0096-3003

VL - 217

SP - 6328

EP - 6336

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 13

ER -

Coupled common fixed point results in two generalized metric spaces

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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