Results 11 to 20 of about 1,116,885 (306)
Fixed points and homotopy fixed points
Commentarii Mathematici Helvetici, 1988 Let G be a finite group, EG be a free contractible G-space, and define \(X^{hG}=Map_ G(EG,X)\) (equivariant mapping space). The main theorem of this paper proves that the following two statements are equivalent (Theorem A): (1) G is a p-group. (2) For every finite G-simplicial complex X, the fixed point set \(X^ G=\emptyset\) if and only if \(X^{hG ...
Zabrodsky, A., Dror Farjoun, E.
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Fixed Points Theorems for Non-Transitive Relations [PDF]
Logical Methods in Computer Science, 2022 In this paper, we develop an Isabelle/HOL library of order-theoretic fixed-point theorems. We keep our formalization as general as possible: we reprove several well-known results about complete orders, often with only antisymmetry or attractivity, a mild
Jérémy Dubut, Akihisa Yamada
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Croatian Operational Research Review, 2017 A set of sufficient conditions which guarantee the existence of a point x⋆ such that f(x⋆) = x⋆ is called a "fixed point theorem". Many such theorems are named after well-known mathematicians and economists.
Sanjo Zlobec
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FIXED POINTS AND APPROXIMATE FIXED POINTS IN PRODUCT SPACES
Taiwanese Journal of Mathematics, 2001 The paper deals with the general theme of what is known about the existence of fixed points and approximate fixed points for mappings which satisfy geometric conditions in product spaces. In particular it is shown that if X and Y are metric spaces each of which has the fixed point property for nonexpansive mappings, then the product space (X ×Y )∞ has ...
Espínola, R., Kirk, W. A.
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Fixed points and coupled fixed points in partially ordered ν-generalized metric spaces
Applied General Topology, 2018 New fixed point and coupled fixed point theorems in partially ordered ν-generalized metric spaces are presented. Since the product of two ν-generalized metric spaces is not in general a ν-generalized metric space, a different approach is needed than in ...
Mortaza Abtahi +2 more
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Bulletin of the American Mathematical Society, 1982 A fixed point algebra (FPA) is a pair \(\) of Boolean algebras satisfying the following properties: (1) Each \(\alpha \in B\) is a mapping from A into A; (2) Boolean operations in B are pointwise on A; (3) each constant mapping on A is an element of B; (4) each \(\alpha \in B\) has a fixed point in A.
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A counter example on common periodic points of functions
International Journal of Mathematics and Mathematical Sciences, 1998 By a counter example we show that two continuous functions defined on a compact metric space satisfying a certain semi metric need not have a common periodic point.
Aliasghar Alikhani-Koopaei
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Existence of Fuzzy Fixed Points and Common Fuzzy Fixed Points for
Mathematics, 2023 This article contains results of the existence of fuzzy fixed points of fuzzy mappings that satisfy certain contraction conditions using the platform of partial b-metric spaces. Some non-trivial examples are provided to authenticate the main results. The
Dur-e-Shehwar Sagheer +4 more
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On Essential Fixed Points [PDF]
Proceedings of the American Mathematical Society, 1959 1. M. L. Curtis and M. K. Fort, Jr., Homotopy groups of one-dimensional spaces, Proc. Amer. Math. Soc. vol. 8 (1957) pp. 577-579. 2. S. Eilenberg and S. MacLane, Relations between homology and homotopy groups of spaces, Ann. of Math. vol. 46 (1945) pp. 480-509. 3. M. K. Fort, Jr., Mappings of S' into one-dimensional spaces, Illinois J. Math. vol.
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On a Common Jungck Type Fixed Point Result in Extended Rectangular b-Metric Spaces
Axioms, 2019 In this paper, we present a Jungck type common fixed point result in extended rectangular b-metric spaces. We also give some examples and a known common fixed point theorem in extended b-metric spaces.
Hassen Aydi +3 more
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