Results 11 to 20 of about 2,117,198 (290)
Generalized Fiber Contraction Mapping Principle [PDF]
The PUMP Journal of Undergraduate ResearchWe prove a generalized non-stationary version of the fiber contraction mapping theorem. It was originally used by Hirsch and Pugh, in 1970, to prove that the stable foliation of a C2 Anosov diffeomorphism of a surface is C1. Our generalized principle was recently used by the first author to prove an analogous regularity result for stable foliations of ...
Luna, Alexandro, Yang, Weiran
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A generalization of contraction principle
International Journal of Mathematics and Mathematical Sciences, 1981 In this paper, a generalized mean value contraction is introduced. This contraction is an extension of the contractions of earlier researchers and of the generalized mean value non-expansive mapping.
K. M. Ghosh
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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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Convergence and stability of generalized φ-weak contraction mapping in CAT(0) spaces
Open Mathematics, 2017 The aim of this paper is to prove some fixed point results for generalized φ-weak contraction mapping and study a new concept of stability which is called comparably almost T-stable by using iterative schemes in CAT(0) spaces.
Kim Kyung Soo
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A Fixed Point Theorem for L-Contraction in Generalized D-Metric Spaces [PDF]
مجلة بغداد للعلوم, 2008 We define L-contraction mapping in the setting of D-metric spaces analogous to L-contraction mappings [1] in complete metric spaces. Also, give a definition for general D- matric spaces.And then prove the existence of fixed point for more general class ...
Baghdad Science Journal
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S-Pata-type contraction: a new approach to fixed-point theory with an application
Journal of Inequalities and ApplicationsIn this paper, we introduce new types of contraction mappings named S-Pata-type contraction mapping and Generalized S-Pata-type contraction mapping in the framework of S-metric space.
Deep Chand +4 more
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Generalized Contraction and Invariant Approximation Results on Nonconvex Subsets of Normed Spaces [PDF]
Abstract and Applied Analysis, 2014 Wardowski (2012) introduced a new type of contractive mapping and proved a fixed point result in complete metric spaces as a generalization of Banach contraction principle.
Mujahid Abbas +2 more
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Journal of Mathematics, 2022 In this manuscript, common fixed point results for set-valued mapping under generalized ψ,ϕ1 and ψ,ϕ2 weak contraction without using Hausdorff metric are studied endowing with a graph. To demonstrate the authenticity of the established result, a suitable
Muhammad Shoaib +3 more
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Probabilistic Generalized Metric Spaces and Nonlinear Contractions
Demonstratio Mathematica, 2016 We give a probabilistic generalization of the theory of generalized metric spaces [2]. Then, we prove a fixed point theorem for a self-mapping of a probabilistic generalized metric space, satisfying the very general nonlinear contraction condition ...
Mbarki Abderrahim, Naciri Rachid
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Generalized contraction mapping in probabilistic metric space
Kathmandu University Journal of Science, Engineering and Technology, 1970 The probabilistic metric space as one of the important generalization of metric space was introduced by K. Menger in 1942. In this paper, we briefly discuss the historical developments of contraction mappings in probabilistic metric space with some fixed point results. Keywords: Fixed point; Distribution function; t-norm; PM space; contraction mapping.
K Jha, Shams-ur Rahman
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