Results 11 to 20 of about 1,320,516 (202)
A Generalisation of Contraction Principle in Metric Spaces [PDF]
Fixed Point Theory and Applications, 2009 Here we introduce a generalisation of the Banach contraction mapping principle. We show that the result extends two existing generalisations of the same principle. We support our result by an example.
Binayak S. Choudhury, P. N. Dutta
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A logical analysis of the generalized Banach contractions principle
Journal of Logic and Analysis, 2012 Let (X,d) be a complete metric space, m2 N\{0}, and 2 R with 0 < 1. A g-contraction is a mapping T :X! X such that for all x,y2X there is an i2 (1,m) with d(T i x,T i y)
Alexander P. Kreuzer +1 more
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Fixed-Point Theorems for θ−ϕ-Contraction in Generalized Asymmetric Metric Spaces
International Journal of Mathematics and Mathematical Sciences, 2020 In the last few decades, a lot of generalizations of the Banach contraction principle had been introduced. In this paper, we present the notion of θ-contraction and θ−ϕ-contraction in generalized asymmetric metric spaces to study the existence and ...
Abdelkarim Kari +4 more
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Even continuity and the Banach contraction principle [PDF]
Proceedings of the American Mathematical Society, 1978 In 1967, Philip R. Meyers established a nice converse to the Banach Contraction Mapping Theorem. We provide a counterexample to one of his corollaries and show that if X is a metrizable topological space, f a continuous self-map on X
Solomon, J. L., Janos, Ludvik
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Ulam-Hyers Stability and Well-Posedness of Fixed Point Problems for α-λ-Contraction Mapping in Metric Spaces [PDF]
Abstract and Applied Analysis, 2014 We study Ulam-Hyers stability and the well-posedness of the fixed point problem for new type of generalized contraction mapping, so called α-λ-contraction mapping.
Marwan Amin Kutbi, Wutiphol Sintunavarat
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Positive Solutions for Nonlinear Integro-Differential Equations of Mixed Type in Banach Spaces [PDF]
Abstract and Applied Analysis, 2013 We establish some new existence theorems on the positive solutions for nonlinear integro-differential equations which do not possess any monotone properties in ordered Banach spaces by means of Banach contraction mapping principle and cone theory based ...
Yan Sun
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The Scientific World Journal, 2014 We study the generalized Ulam-Hyers stability, the well-posedness, and the limit shadowing of the fixed point problem for new type of generalized contraction mapping, the so-called α-β-contraction mapping.
Wutiphol Sintunavarat
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A Generalisation of Contraction Principle in Metric Spaces
Fixed Point Theory and Applications, 2008 Here we introduce a generalisation of the Banach contraction mapping principle. We show that the result extends two existing generalisations of the same principle. We support our result by an example.
Choudhury BinayakS, Dutta PN
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Nondecreasing bounded continuous solutions of a
Miskolc Mathematical NotesSchauder’s fixed point theorem and Banach contraction principle are used to study a ...
Hou Yu Zhao, Shan Shan Guo
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New Fixed Point Theorems for θ−ω−Contraction on λ,μ-Generalized Metric Spaces
Journal of Function Spaces, 2023 In this paper, we consider a new extension of the Banach contraction principle, which is called the θ−ω−contraction inspired by the concept of θ−contraction in λ,μ-generalized metric spaces and to study the existence and uniqueness of fixed point for the
Abdelkarim Kari, Ahmed Al-Rawashdeh
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