نتایج جستجو برای: fixed point property
تعداد نتایج: 822706 فیلتر نتایج به سال:
We show that if U is a bounded open set in a complete CAT(0) spaceX , and if f : U → X is nonexpansive, then f always has a fixed point if there exists p ∈U such that x / ∈ [p, f (x)) for all x ∈ ∂U . It is also shown that if K is a geodesically bounded closed convex subset of a complete R-tree with int(K) = ∅, and if f : K → X is a continuous mapping for which x / ∈ [p, f (x)) for some p ∈ int...
In this paper, we show the existence of a coupled fixed point theorem of nonlinear contraction mappings in complete metric spaces without the mixed monotone property and give some examples of a nonlinear contraction mapping, which is not applied to the existence of coupled fixed point by using the mixed monotone property. We also study the necessary condition for the uniqueness of a coupled fix...
In this article we introduce a new class of contraction maps, called A-contractions, which includes the contractions studied by R. Bianchini, M. S. Khan, S. Reich and T. Kannen. It is shown that the class of A-contractions is proper super class of Kannan’s and Khan’s contractions. Several results due to B. Ahmad, F. U. Rehman, Z. Chuanyi, N. Shioji et al. are extended to the A-contractions. We ...
Approximate fixed point property problem for Mann iteration sequence of a nonexpansive mapping has been resolved on a Banach space independent of uniform (strict) convexity by Ishikawa [Fixed points and iteration of a nonexpansive mapping in a Banach space, Proc. Amer. Math. Soc. 59 (1976), 65–71]. In this paper, we solve this problem for a class of mappings wider than the class of asymptotical...
It is now well known that in the category of finite polyhedra the fixed point property is not preserved by the operations of suspension, Cartesian product, adjunction along a segment, and join. Thus far none of the examples given have involved polyhedra of dimension 2. It is shown in this paper that two fixed points x and y of a self-map of a polyhedron K can be combined in a certain way if a c...
LetK be a closed convex subset of a real Banach space E, T : K → K is continuous pseudocontractive mapping, and f : K → K is a fixed L-Lipschitzian strongly pseudocontractive mapping. For any t ∈ (0,1), let xt be the unique fixed point of t f + (1− t)T . We prove that if T has a fixed point and E has uniformly Gâteaux differentiable norm, such that every nonempty closed bounded convex subset of...
We first show that co-amenability does not pass to subgroups, answering a question asked by Eymard in 1972. We then address address coamenability for von Neumann algebras, describing notably how it relates to the former. Co-amenable subgroups A subgroup H of a group G is called co-amenable in G if it has the following relative fixed point property: Every continuous affine G-action on a convex c...
*Correspondence: [email protected] Institute of Pure and Applied Mathematics, Department of Mathematics Education, Chonbuk National University, Jeonju-City, Jeonbuk 54896, Republic of Korea Abstract Based on the notions of both contractibility and local contractibility, many works were done in fixed point theory. The present paper concerns a relation between digital contractibility and the exist...
For an isometric action of a finitely generated group on the ultralimit of a sequence of global Busemann nonpositive curvature spaces, we state a sufficient condition for the existence of a fixed point of the action in terms of the energy of equivariant maps from the group into the space. Furthermore, we show that this energy condition holds for every isometric action of a finitely generated gr...
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