Common Fixed Point Theorems in Complex Valued Metric Spaces

We introduce complex valued metric spaces and obtain sufficient conditions for the existence of common fixed points of a pair of mappings satisfying contractive type conditions.

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Bibliographic Details
Published in:Numerical functional analysis and optimization Vol. 32; no. 3; pp. 243 - 253
Main Authors: Azam, Akbar, Fisher, Brian, Khan, M.
Format: Journal Article
Language:English
Published: Philadelphia, PA Taylor & Francis Group 12.01.2011
Taylor & Francis
Subjects:
Common fixed point
Complex valued metric space
Contractive type mapping
Exact sciences and technology
Fixed points (mathematics)
Functional analysis
General topology
Global analysis, analysis on manifolds
Mapping
Mathematical analysis
Mathematics
Metric space
Optimization
Sciences and techniques of general use
Several complex variables and analytic spaces
Theorems
Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
Existence condition
47H10
Sufficient condition
Fix point
Fixed point theorem
Metric space
Common fixed point
Contractive type mapping
Complex valued metric space
54H25
ISSN:0163-0563, 1532-2467
Online Access:Get full text
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Description
Summary:We introduce complex valued metric spaces and obtain sufficient conditions for the existence of common fixed points of a pair of mappings satisfying contractive type conditions.
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content type line 23
ISSN:0163-0563
1532-2467
DOI:10.1080/01630563.2011.533046