Best Proximity Point Theorem for α ̃–ψ ̃-Contractive Type Mapping in Fuzzy Normed Space
مجلة بغداد للعلوم, 2023 The best proximity point is a generalization of a fixed point that is beneficial when the contraction map is not a self-map. On other hand, best approximation theorems offer an approximate solution to the fixed point equation .
Raghad I. Sabri, Buthainah A. A. Ahmed
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Fuzzy Bounded and Continuous Linear Operators on Standard Fuzzy Normed Spacesa [PDF]
Engineering and Technology Journal, 2015 In this paper we introduce the definition of standard fuzzy normed space, then we discuss several properties after we give an example to illustrate this notion.
Jehad R. Kider, Rami M. Jameel
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Generalized statistically convergent sequences of functions in fuzzy 2-normed spaces [PDF]
, 2014 In this paper, we introduce a new type of convergence for a sequence of function, namely, ?-statistically convergent sequences of functions in fuzzy 2-normed space, which is a natural generalization of convergence in fuzzy 2-normed space.
Gürdal, Mehmet, Savaş, Ekrem
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Some Fixed Point Theorems in Fuzzy n-Normed Spaces [PDF]
, 2010 The main purpose of this paper is to study the existence of a fixed points in fuzzy n-normed spaces. we proved our main results, a fixed point theorem for a self mapping and a common fixed point theorem for a pair of weakly compatible mappings on fuzzy n-
Rahmat, Mohamad Rafi Segi +1 more
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The Fuzzy Width Theory in the Finite-Dimensional Space and Sobolev Space
Mathematics, 2023 This paper aims to fuzzify the width problem of classical approximation theory. New concepts of fuzzy Kolmogorov n-width and fuzzy linear n-width are introduced on the basis of α-fuzzy distance which is induced by the fuzzy norm.
Yanyan Xu, Lu Sun, Hao Li, Guanggui Chen
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On Functions Preserving Convergence of Series in Fuzzy n-Normed Spaces [PDF]
, 2009 The purpose of this paper is to introduce finite convergence sequences and functions preserving convergence of series in fuzzy n-normed ...
Rahmat, Mohamad Rafi Segi, Elagan, Sayed
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Invariant convergent and invariant ideal convergent sequence in intuitionistic fuzzy normed space
, 2022 The main purpose of this paper is to introduce invariant convergence in intuitionistic fuzzy normed space. Following which we present some characteristics of this notion with respect to intuitionistic fuzzy norm.
Esi, Ayhan +3 more
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Mazur-Ulam type theorems for fuzzy normed spaces [PDF]
, 2017 In this paper, we provide Mazur-Ulam type results for (not necessarily surjective) maps preserving equality of fuzzy distance defined between two fuzzy normed spaces. Our main goal is to study the additivity of such generalizations of fuzzy isometries.
M. Sanchis +7 more
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Near Fixed Point Theorems in the Space of Fuzzy Numbers
Mathematics, 2018 The fuzzy numbers are fuzzy sets owning some elegant mathematical structures. The space consisting of all fuzzy numbers cannot form a vector space because it lacks the concept of the additive inverse element.
Hsien-Chung Wu
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Fixed point theorems for contractions in fuzzy normed spaces and intuitionistic fuzzy normed spaces [PDF]
Fixed Point Theory and Applications, 2013 Abstract In this paper, we prove that some coupled fixed point theorems and coupled coincidence point theorems for contractions in fuzzy normed spaces and intuitionistic fuzzy normed spaces can be directly deduced from fixed point theorems for contractions in fuzzy normed spaces. We also prove that these results are equivalent.
Zhu, Jiang +2 more
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