Common Fixed Points of Generalized Cocyclic Mappings in Complex Valued Metric Spaces

Mujahid Abbas; Manuel De La Sen; Talat Nazir

doi:10.1155/2015/147303

Common Fixed Points of Generalized Cocyclic Mappings in Complex Valued Metric Spaces

Mujahid Abbas
, Manuel De La Sen
, Talat Nazir

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

8 Citations (Scopus)

Abstract

We present fixed point results of mappings satisfying generalized contractive conditions in complex valued metric spaces. As an application, we obtain a common fixed point of a pair of weakly compatible mappings. Some common fixed point results of generalized contractive-type mappings involved in cocyclic representation of a nonempty subset of a complex valued metric space are also obtained. Some examples are also presented to support the results proved herein. These results extend and generalize many results in the existing literature.

Original language	English
Article number	147303
Journal	Discrete Dynamics in Nature and Society
Volume	2015
DOIs	https://doi.org/10.1155/2015/147303
Publication status	Published - 2015
Externally published	Yes

ASJC Scopus subject areas

Modeling and Simulation

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10.1155/2015/147303

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title = "Common Fixed Points of Generalized Cocyclic Mappings in Complex Valued Metric Spaces",

abstract = "We present fixed point results of mappings satisfying generalized contractive conditions in complex valued metric spaces. As an application, we obtain a common fixed point of a pair of weakly compatible mappings. Some common fixed point results of generalized contractive-type mappings involved in cocyclic representation of a nonempty subset of a complex valued metric space are also obtained. Some examples are also presented to support the results proved herein. These results extend and generalize many results in the existing literature.",

author = "Mujahid Abbas and \{De La Sen\}, Manuel and Talat Nazir",

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year = "2015",

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journal = "Discrete Dynamics in Nature and Society",

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AU - Abbas, Mujahid

AU - De La Sen, Manuel

AU - Nazir, Talat

PY - 2015

Y1 - 2015

N2 - We present fixed point results of mappings satisfying generalized contractive conditions in complex valued metric spaces. As an application, we obtain a common fixed point of a pair of weakly compatible mappings. Some common fixed point results of generalized contractive-type mappings involved in cocyclic representation of a nonempty subset of a complex valued metric space are also obtained. Some examples are also presented to support the results proved herein. These results extend and generalize many results in the existing literature.

AB - We present fixed point results of mappings satisfying generalized contractive conditions in complex valued metric spaces. As an application, we obtain a common fixed point of a pair of weakly compatible mappings. Some common fixed point results of generalized contractive-type mappings involved in cocyclic representation of a nonempty subset of a complex valued metric space are also obtained. Some examples are also presented to support the results proved herein. These results extend and generalize many results in the existing literature.

UR - https://www.scopus.com/pages/publications/84948746754

U2 - 10.1155/2015/147303

DO - 10.1155/2015/147303

M3 - Article

AN - SCOPUS:84948746754

SN - 1026-0226

VL - 2015

JO - Discrete Dynamics in Nature and Society

JF - Discrete Dynamics in Nature and Society

M1 - 147303

ER -

Common Fixed Points of Generalized Cocyclic Mappings in Complex Valued Metric Spaces

Abstract

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