A Fixed Point Theorem for Meir-Keeler Type Contraction Via Gupta-Saxena Expression
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Date
2015
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Publisher
Springer international Publishing Ag
Open Access Color
GOLD
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Abstract
In this paper, following the idea of Samet et al. (J. Nonlinear. Sci. Appl. 6: 162-169, 2013), we establish a new fixed point theorem for a Meir-Keeler type contraction via Gupta-Saxena rational expression which enables us to extend and generalize their main result (Gupta and Saxena in Math. Stud. 52: 156-158, 1984). As an application we derive some fixed points of mappings of integral type.
Description
ERHAN, INCI M./0000-0001-6042-3695
ORCID
Keywords
complete metric space, fixed point, Meir-Keeler mapping, Gupta-Saxena rational expression, Aerospace Engineering, FOS: Mechanical engineering, Mathematical analysis, Fixed Point Theorems in Metric Spaces, Engineering, Numerical Integration Methods for Differential Equations, FOS: Mathematics, Fixed-point theorem, Biology, Numerical Analysis, Ecology, Fixed Point Theorems, Applied Mathematics, Airborne Wind Energy Systems and High-Altitude Platforms, Pure mathematics, Linguistics, Fixed point, FOS: Philosophy, ethics and religion, Philosophy, FOS: Biological sciences, Physical Sciences, FOS: Languages and literature, Contraction (grammar), Geometry and Topology, Type (biology), Mathematics, Gupta-Saxena rational expression, Special maps on metric spaces, Meir-Keeler mapping, Fixed-point and coincidence theorems (topological aspects), fixed point, complete metric space
Fields of Science
0211 other engineering and technologies, 02 engineering and technology, 01 natural sciences, 0101 mathematics
Citation
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Scopus Q
Q2
OpenCitations Citation Count
1
Source
Fixed Point Theory and Applications
Volume
2015
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CrossRef : 1
Scopus : 5
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