Coupled Common Fixed Point Results Involving (φ,ψ)-Contractions in Ordered Generalized Metric Spaces With Application To Integral Equations
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Abstract
We establish some coupled coincidence and coupled common fixed point theorems for the mixed g-monotone mappings satisfying -contractive conditions in the setting of ordered generalized metric spaces. Presented theorems extend and generalize the very recent results of Choudhury and Maity (Math. Comput. Model. 54(1-2):73-79, 2011). To illustrate our results, an example and an application to integral equations have also been given. MSC: 54H10, 54H25.
Description
Jain, Manish/0000-0003-1652-8718; Tas, Kenan/0000-0001-8173-453X; Gupta, Neetu/0000-0002-4957-9127
Keywords
Partially Ordered Set, Mixed G-Monotone Property, Coupled Coincidence Point, Coupled Common Fixed Point, Alternative medicine, Metric (unit), Economics, Geometry, Mathematical analysis, Fixed Point Theorems in Metric Spaces, Point (geometry), FOS: Mathematics, Pathology, Discrete Mathematics and Combinatorics, Integral equation, Fixed Point Theorems, Applied Mathematics, Discrete mathematics, Generalized Contractions, Coincidence, Operations management, Contractive Mappings, Physical Sciences, Monotone polygon, Medicine, Geometry and Topology, Metric space, Analysis, Mathematics, Monotonic function, partially ordered set, mixed \(g\)-monotone property, Fixed-point and coincidence theorems (topological aspects), coupled coincidence point, coupled common fixed point
Fields of Science
01 natural sciences, 0101 mathematics
Citation
Jain, Manish; Tas, Kenan; Gupta, Neetu. (2013). "Coupled common fixed point results involving (Φ,Ψ)-contractions in ordered generalized metric spaces with application to integral equations", Journal of Inequalities and Applications, Vol.2013.
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2013
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