Results 31 to 40 of about 5,351 (245)
General Higher-Order Lipschitz Mappings
Journal of Mathematics, 2021 In this paper, we introduce a new class of mappings and investigate their fixed point property. In the first direction, we prove a fixed point theorem for general higher-order contraction mappings in a given metric space and finally prove an approximate ...
Joseph Frank Gordon
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The Fixed Point Property of Strong Pseudocontraction Mapping
Journal of Harbin University of Science and Technology, 2020 In this paper, the iterative methods of fixed point of strong pseudocontraction mappings and accretive operators are studied in Banach spaces. A new threestep Ishikawa iteration is given.
CUI Yunan, ZHU Peng, WANG Ping
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Some examples for the fixed point property [PDF]
Pacific Journal of Mathematics, 1971 Examples are given of polyhedra K and L which have the homotopy invariant fixed point property, in the sense that all polyhedra of the same homotopy type have the fixed point property (in fact K and L have no self-maps of zero Lefschetz number) but for which K X L fails to have the fixed point property.
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On the Schauder fixed point property II
Annals of Functional Analysis, 2023 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Fixed Point Property of Unital Abelian Banach Algebras
Fixed Point Theory and Applications, 2010 We give a general condition for infinite dimensional unital Abelian Banach algebras to fail the fixed point property. Examples of those algebras are given including the algebras of continuous functions on compact sets.
Fupinwong W, Dhompongsa S
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The Bregman–Opial Property and Bregman Generalized Hybrid Maps of Reflexive Banach Spaces
Mathematics, 2020 The Opial property of Hilbert spaces is essential in many fixed point theorems of non-expansive maps. While the Opial property does not hold in every Banach space, the Bregman–Opial property does.
Eskandar Naraghirad +2 more
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Nonlinear Analysis, 2005 This paper deals with fixed point theory and fixed point property in minimal spaces. We will prove that under some conditions f : (X,M) → (X,M) has a fixed point if and only if for each m-open cover {Bα} for X there is at least one x ∈ X such that both x
M. Alimohammady, M. Roohi
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The Fixed Point Property in Modal Logic
Notre Dame Journal of Formal Logic, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A note on properties that imply the fixed point property
Abstract and Applied Analysis, 2006 We give relationships between some Banach-space geometric properties that guarantee the weak fixed point property. The results extend some known results of Dalby and Xu.
S. Dhompongsa, A. Kaewkhao
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The τ-fixed point property for nonexpansive mappings
Abstract and Applied Analysis, 1998 Let X be a Banach space and τ a topology on X. We say that X has the τ-fixed point property (τ-FPP) if every nonexpansive mapping T defined from a bounded convex τ-sequentially compact subset C of X into C has a fixed point.
Tomás Domínguez Benavides +2 more
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