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An Approach of Lebesgue Integral in Fuzzy Cone Metric Spaces via Unique Coupled Fixed Point Theorems
Journal of Function Spaces, 2021 In the theory of fuzzy fixed point, many authors have been proved different contractive type fixed point results with different types of applications. In this paper, we establish some new fuzzy cone contractive type unique coupled fixed point theorems ...
Muhammad Talha Waheed +4 more
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Common Fixed-Point and Fixed-Circle Results for a Class of Discontinuous F-Contractive Mappings
Mathematics, 2022 The exploration of contractive inequalities which do not imply the continuity of the mapping at fixed points was an interesting open problem for quite some time.
Pradip Debnath
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The Monotone Contraction Mapping Theorem [PDF]
Journal of Mathematics, 2020 In this paper, the fixed-point theorem for monotone contraction mappings in the setting of a uniformly convex smooth Banach space is studied. This paper provides a version of the Banach fixed-point theorem in a complete metric space.
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Fixed point theorems for compatible multi-valued and single-valued mappings
International Journal of Mathematics and Mathematical Sciences, 1989 The notion of compatibility for point-to-point mappings recently defined by Jungck is generalized to include multi-valued mappings. This idea is used to establish a fixed point theorem for a generalized contractive multi-valued mapping and a single ...
Hideaki Kaneko, Salvatore Sessa
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Fixed Points for Multivalued Mappings in b-Metric Spaces
Abstract and Applied Analysis, 2015 In 2012, Samet et al. introduced the notion of α-ψ-contractive mapping and gave sufficient conditions for the existence of fixed points for this class of mappings.
Mohamed Jleli +3 more
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Contractive mappings on a premetric space [PDF]
International Journal of Mathematics and Mathematical Sciences, 1985 In this paper, we study the fixed point property of certain types of contractive mappings defined on a premetric space. The applications of these results to topological vector spaces and to metric spaces are also discussed.
Shen, C.Y., Sound, A.
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Fixed Point Results for Various α-Admissible Contractive Mappings on Metric-Like Spaces
Abstract and Applied Analysis, 2014 We establish some fixed point theorems for α-admissible mappings in the context of metric-like space via various auxiliary functions. In particular, we prove the existence of a fixed point of the generalized Meir-Keeler type α-ϕ-contractive self-mapping ...
Saleh A. Al-Mezel +3 more
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Open Mathematics, 2016 The aim of this paper is to introduce the concept of a new nonlinear multi-valued mapping so called weakly (α, ψ, ξ)-contractive mapping and prove fixed point results for such mappings in metric spaces.
Kutbi Marwan Amin, Sintunavarat Wutiphol
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International Journal of Mathematics and Mathematical Sciences, 2008 Let K be a nonempty closed convex subset of a reflexive and strictly convex Banach space E with a uniformly Gâteaux differentiable norm, ℱ={T(h):h≥0} a generalized asymptotically nonexpansive self-mapping semigroup of K, and f:K→K a fixed contractive ...
Yali Li, Jianjun Liu, Lei Deng
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Normed Ordered and 𝐸-Metric Spaces
International Journal of Mathematics and Mathematical Sciences, 2012 In 2007, Haung and Zhang introduced the notion of cone metric spaces. In this paper, we define an ordered space 𝐸, and we discuss some properties and examples. Also, normed ordered space is introduced.
Ahmed Al-Rawashdeh +2 more
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