Remarks on the Preservation of the Almost Fixed Point Property Involving Several Types of Digitizations [PDF]
Mathematics, 2019 This paper explores a certain relationship between the almost fixed point property (AFPP for short) of a compact and n-dimensional Euclidean space and that of its digitized space.
Sang-Eon Han
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Digital k-Contractibility of an n-Times Iterated Connected Sum of Simple Closed k-Surfaces and Almost Fixed Point Property [PDF]
Mathematics, 2020 The paper firstly establishes the so-called n-times iterated connected sum of a simple closed k-surface in Z 3 , denoted by C k n , k ∈ { 6 , 18 , 26 } .
Sang-Eon Han
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Fixed point theorems for multifunctions having KKM property on almost convex sets
Journal of Mathematical Analysis and Applications, 2006 The authors consider the class KKM(\(X,Y\)) of multivalued maps \(T:X\multimap Y\) having the KKM property, which means that for every generalized KKM mapping \(F:X\multimap Y\) with respect to \(T\) (definition below) the family \(\{\overline{F(x)} : x\in X\}\) has the finite intersection property.
Young-Ye Huang
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Convexity in Helly Graphs: Selection and Almost Fixed Point Properties for Multifunctions
Electronic Notes in Theoretical Computer Science, 2006 AbstractIn this paper, a notion of convexity structure for graphs, called neighbourhood convexity, is introduced. It is shown that neighbourhood convexity is exactly the graph convexity for Helly graphs to be 2-Helly. We then consider various neighbourhood-convexity almost fixed point properties for Helly graphs.
Michael B Smyth
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Some Noncompact Hyperspaces with the Almost Fixed Point Property
Rocky Mountain Journal of Mathematics, 1992 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sam B Nadler
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The almost fixed point property for nonexpansive mappings [PDF]
Proceedings of the American Mathematical Society, 1983 It is shown that a closed convex subset of a reflexive Banach space has the almost fixed point property for nonexpansive mappings if and only if it is linearly bounded.
Simeon Reich
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Approximate Fixed Point Theorems for the Class of Almost S-KKM𝒞 Mappings in Abstract Convex Uniform Spaces [PDF]
Fixed Point Theory and Applications, 2009 We use a concept of abstract convexity to define the almost S-KKM𝒞 property, al-S-KKM𝒞(X,Y) family, and almost Φ-spaces. We get some new approximate fixed point theorems and fixed point theorems in almost Φ-spaces.
Tong-Huei Chang +2 more
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Besicovitch Almost Periodic Solutions of Abstract Semi-Linear Differential Equations with Delay
Mathematics, 2022 In this paper, first, we give a definition of Besicovitch almost periodic functions by using the Bohr property and the Bochner property, respectively; study some basic properties of Besicovitch almost periodic functions, including composition theorem ...
Yongkun Li, Mei Huang, Bing Li
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Annales Mathematicae Silesianae, 2018 The purpose of this paper is to prove a general fixed point theorem for mappings involving almost altering distances and satisfying a new type of common limit range property in Gpmetric spaces.
Popa Valeriu, Patriciu Alina-Mihaela
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The almost fixed point property for hereditarily unicoherent continua. [PDF]
Proceedings of the American Mathematical Society, 1971 It is shown that a hereditarily unicoherent Hausdorff continuum X has the almost fixed point property with respect to continuum valued mappings and finite coverings by ...
Gray, William J., Vaughan, Loy O.
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