A New Class of Contraction in B -Metric Spaces and Applications
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Abstract
A novel class of α-β-contraction for a pair of mappings is introduced in the setting of b-metric spaces. Existence and uniqueness of coincidence and common fixed points for such kind of mappings are investigated. Results are supported with relevant examples. At the end, results are applied to find the solution of an integral equation. © 2017 Preeti Kaushik et al.
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Keywords
Cone Metric Spaces, Computer science, Mathematical analysis, Metric Spaces, Algorithm, Fixed Point Theorems in Metric Spaces, Contractive Mappings, Physical Sciences, QA1-939, FOS: Mathematics, Geometry and Topology, Uniqueness, Mathematics, Fixed-point and coincidence theorems (topological aspects), Fixed-point theorems
Fields of Science
01 natural sciences, 0101 mathematics
Citation
Kaushik, P.; Kumar, S.; Taş, Kenan, "A New Class of Contraction in B -Metric Spaces and Applications", Abstract and Applied Analysis, Vol. (2017).
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3
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2017
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1
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10
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CrossRef : 2
Scopus : 5
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5
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