Results 21 to 30 of about 2,017,440 (319)

The fixed point property in direct sums and modulus R(a,X) [PDF]

, 2012
We show that the direct sum of Banach spaces $X_{1},..., X_{r}$ with a strictly monotone norm has the weak fixed point property for nonexpansive mappings whenever $M(X_{i})>1$ for each $i=1,...,r$. In particular, $(X_{1} \oplus ...
Wiśnicki, Andrzej
core   +1 more source

The Fixed Point Property of Mean Non-expansive Mapping

Journal of Harbin University of Science and Technology, 2018
In this paper，it mainly discussed the fixed point properties of the mean non-expansive mapping． First of all，it proved the weakly compact convex subset with Opial properties for mean non-expansive mapping that has weak fixed point property． Secondly，it ...
CUI Yun-an, WANG Jing-chen
doaj   +1 more source

On the fixed points of nonexpansive mappings in direct sums of Banach spaces [PDF]

, 2011
We show that if a Banach space X has the weak fixed point property for nonexpansive mappings and Y has the generalized Gossez-Lami Dozo property or is uniformly convex in every direction, then the direct sum of X and Y with a strictly monotone norm has ...
Wiśnicki, Andrzej
core   +1 more source

Fixed Point Properties Related to Multivalued Mappings [PDF]

Fixed Point Theory and Applications, 2010
AbstractWe discuss fixed point properties of convex subsets of locally convex linear topological spaces. We derive equivalence among fixed point properties concerning several types of multivalued mappings.
Komiya Hidetoshi
openalex   +4 more sources

KKM Property and Fixed Point Theorems

Journal of Mathematical Analysis and Applications, 1996
New fixed point theorems for generalized KKM mappings are established. Applications to variational inequalities are given.
Chang, Tong-Huei, Yen, Chi-Lin
openaire   +1 more source

Fixed points and approximate fixed points in product spaces [PDF]

, 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.
Espínola García, Rafael, Kirk, William Art   +1 more
core   +1 more source

The Fixed Point Property of Strong Pseudocontraction 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
doaj   +1 more source

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
doaj   +1 more source

On strong property (T) and fixed point properties for Lie groups [PDF]

, 2016
We consider certain strengthenings of property (T) relative to Banach spaces that are satisfied by high rank Lie groups. Let X be a Banach space for which, for all k, the Banach--Mazur distance to a Hilbert space of all k-dimensional subspaces is bounded
de la Salle, Mikael, de Laat, Tim, Mimura, Masato   +2 more
core   +5 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   +1 more source