Common Fixed Point Theorems of Integral Type Contraction on Metric Spaces and Its Applications To System of Functional Equations
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Date
2015
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Springer international Publishing Ag
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GOLD
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Abstract
In this article, using the common (CLR) property, common fixed point results for two pairs of weakly compatible mappings satisfying contractive condition of integral type on metric spaces are established. Furthermore, the existence and uniqueness of common solution for system of functional equations arising in dynamic programming are discussed as an application of a common fixed point theorem presented in this paper.
Description
ERHAN, INCI M./0000-0001-6042-3695; Sarwar, Muhammad/0000-0003-3904-8442
Keywords
contractive mappings of integral type, weakly compatible mappings, common fixed point, system of functional equations, dynamic programming, common (E.A) property, common (CLR) property, Contraction mapping, Mathematical analysis, Fixed Point Theorems in Metric Spaces, FOS: Mathematics, Differential geometry, Fixed-point theorem, Internal medicine, Biology, Ecology, Applied Mathematics, Fixed point, Discrete mathematics, Generalized Contractions, Computer science, Contractive Mappings, FOS: Biological sciences, Physical Sciences, Contraction (grammar), Medicine, Geometry and Topology, Uniqueness, Metric space, Type (biology), Mathematics, weakly compatible mappings, Dynamic programming, common \((CLR)\) property, Functional equations for functions with more general domains and/or ranges, Special maps on metric spaces, dynamic programming, Fixed-point and coincidence theorems (topological aspects), common fixed point, system of functional equations, contractive mappings of integral type, common \((E.A)\) property
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Fields of Science
01 natural sciences, 0101 mathematics
Citation
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Scopus Q
Q2
OpenCitations Citation Count
3
Source
Fixed Point Theory and Applications
Volume
2015
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CrossRef : 2
Scopus : 12
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12
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13
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3
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