Results 1 to 10 of about 5,351 (245)

Fixed point property of amenable planar vortexes

Applied General Topology, 2021
This article introduces free group representations of planar vortexes in a CW space that are a natural outcome of results for amenable groups and fixed points found by M.M.
James Francis Peters, Tane Vergili
doaj   +7 more sources

On the δ-continuous fixed point property [PDF]

International Journal of Mathematics and Mathematical Sciences, 1990
In this paper, we define and investigate the δ-continuous retraction and the δ-continuous fixed point property. Theorem 1 of Connell [11] and Theorem 3.4 of Arya and Deb [2] are improved.
F. Cammaroto, T. Noiri
doaj   +2 more sources

On the weak-approximate fixed point property

Journal of Mathematical Analysis and Applications, 2010
Let X be a Banach space and C a bounded, closed, convex subset of X. C is said to have the weak-approximate fixed point property if for any norm-continuous mapping f:C→C, there exists a sequence {xn} in C such that (xn−f(xn))n converges to 0 weakly.
Cleon S Barroso, Pei-Kee Lin
exaly   +2 more sources

The Fixed Point Property for Intuitionistic Fuzzy Lattices

Fuzzy Information and Engineering, 2017
In this paper, based on the concept of intuitionistic fuzzy lattice previously introduced by Tripathy and his colleagues, a class of intuitionistic fuzzy complete lattices is proposed with some interesting characterizations given.
Lemnaouar Zedam, Soheyb Milles, Ewa Rak
doaj   +2 more sources

Fixed point property and degree of coincidence

Applied General Topology
We introduce the concept of degree of coincidence to measure the divergence from the fixed point property in case a space does not have the FPP.
W. Kulpa, A. Szymanski, M. Turzanski
doaj   +3 more sources

The fixed point property via dual space properties

Journal of Functional Analysis, 2008
A Banach space has the weak fixed point property if its dual space has a weak∗ sequentially compact unit ball and the dual space satisfies the weak∗ uniform Kadec–Klee property; and it has the fixed point property if there exists ε>0 such that, for every
P N Dowling, Beata Randrianantoanina, B Turett   +2 more
exaly   +2 more sources

On the super fixed point property in product spaces

Journal of Functional Analysis, 2006
We prove that if F is a finite-dimensional Banach space and X has the super fixed point property for nonexpansive mappings, then F⊕X has the super fixed point property with respect to a large class of norms including all lp norms, 1 ...
Andrzej Wiśnicki
exaly   +2 more sources

Measures of noncompactness in modular spaces and fixed point theorems for multivalued nonexpansive mappings [PDF]

, 2021
This paper is devoted to state some fixed point results for multivalued mappings in modular vector spaces. For this purpose, we study the uniform noncompact convexity, a geometric property for modular spaces which is similar to nearly uniform convexity ...
Lorenzo Ramírez, Josefa, Domínguez Benavides, Tomás   +1 more
core   +1 more source

Set Invariant Means and Set Fixed Point Properties

Communications in Advanced Mathematical Sciences, 2022
In this paper, we introduce a concept of fixed point property for a semigroup $S$ called $A$-fixed point property, where $A$ is a non-empty subset of $S$. Also, the relationship between $A$-amenability and $A$-fixed point property is investigated.
Moslem Amini Nia
doaj   +1 more source

The Fixed Point Property of the Infinite M-Sphere

Mathematics, 2020
The present paper is concerned with the Alexandroff one point compactification of the Marcus-Wyse (M-, for brevity) topological space ( Z 2 , γ ) . This compactification is called the infinite M-topological sphere and denoted by ( ( Z
Sang-Eon Han, Selma Özçağ
doaj   +1 more source