Invariant Approximation Results Via Common Fixed Point Theorems for Generalized Weak Contraction Maps
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Date
2014
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Publisher
Hindawi Ltd
Open Access Color
GOLD
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Abstract
A common fixed point theorem for generalized (phi,phi,L)(f,g)-weak contraction in a metric space is established. As an application, some common fixed point results in normed linear spaces are obtained. We also study some results on best approximation via common fixed point theorems. Our result improves some results from the existing literature. Some illustrative examples to highlight the realized improvements are also furnished.
Description
Kumar, Anil/0000-0002-7031-7201; Tas, Kenan/0000-0001-8173-453X
Keywords
Best Proximity Points, Fixed Point Theorems, Cone Metric Spaces, Generalized Contractions, Computer science, Algorithm, Fixed Point Theorems in Metric Spaces, Physical Sciences, QA1-939, FOS: Mathematics, Geometry and Topology, Mathematics, Fixed-point and coincidence theorems (topological aspects), Fixed-point theorems, Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.
Fields of Science
01 natural sciences, 0101 mathematics
Citation
Rathee, S., Kumar, A., Taş, K. (2014). Invariant approximation results via common fixed point theorems for generalized weak contraction maps. Abstract and Applied Analysis. http://dx.doi.org/10.1155/2014/752107
WoS Q
Scopus Q
Q3
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N/A
Source
Abstract and Applied Analysis
Volume
2014
Issue
Start Page
1
End Page
11
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