Indecomposable continua and the fixed point property II
Infinite discrete sets of limit points of iterative sequences of contiunous functions.
Infinite discrete sets of limit points of iterative sequences of continuous functions. (Short Communication).
Invariant approximation for fuzzy nonexpansive mappings
We establish results on invariant approximation for fuzzy nonexpansive mappings defined on fuzzy metric spaces. As an application a result on the best approximation as a fixed point in a fuzzy normed space is obtained. We also define the strictly convex fuzzy normed space and obtain a necessary condition for the set of all -best approximations to contain a fixed point of arbitrary mappings. A result regarding the existence of an invariant point for a pair of commuting mappings on a fuzzy metric...
Invariant approximations, generalized -contractions, and -subweakly commuting maps.
Invariant sets and Knaster-Tarski principle
Our aim is to point out the applicability of the Knaster-Tarski fixed point principle to the problem of existence of invariant sets in discrete-time (multivalued) semi-dynamical systems, especially iterated function systems.
Involutions with fixed points in 2-Banach spaces.
Ishikawa iteration process with errors for nonexpansive mappings in uniformly convex Banach spaces.
Iterations of asymptotically pseudocontractive mappings in Banach spaces.
Iterative processes and open mapping theorems
Iterative solution of nonlinear equations of the pseudo-monotone type in Banach spaces
The weak convergence of the iterative generated by , , to a coincidence point of the mappings is investigated, where is a real reflexive Banach space and its dual (assuming that is strictly convex). The basic assumptions are that is the duality mapping, is demiclosed at , coercive, potential and bounded and that there exists a non-negative real valued function such that
Jordan's curve theorem.
Kannan fixed point theorem on generalized metric spaces.
Kannan-type cyclic contraction results in -Menger space
In this paper we establish Kannan-type cyclic contraction results in probabilistic 2-metric spaces. We use two different types of -norm in our theorems. In our first theorem we use a Hadzic-type -norm. We use the minimum -norm in our second theorem. We prove our second theorem by different arguments than the first theorem. A control function is used in our second theorem. These results generalize some existing results in probabilistic 2-metric spaces. Our results are illustrated with an example....
KKM maps and variational inequalities
La suite des approximations successives dans le cas general
La théorie des points fixes des applications à itérée condensante
Large games with only small players and finite strategy sets
Large games of kind considered in the present paper (LSF-games) directly generalize the usual concept of n-matrix games; the notion is related to games with a continuum of players and anonymous games with finitely many types of players, finitely many available actions and distribution dependent payoffs; however, there is no need to introduce a distribution on the set of types. Relevant features of equilibrium distributions are studied by means of fixed point, nonlinear complementarity and constrained...
Le théorème de Lefschetz pour les ANR approximatifs
Lefschetz coincidence numbers of solvmanifolds with Mostow conditions
For any two continuous maps , between two solvmanifolds of the same dimension satisfying the Mostow condition, we give a technique of computation of the Lefschetz coincidence number of , . This result is an extension of the result of Ha, Lee and Penninckx for completely solvable case.