Impact of common property (E.A.) on fixed point theorems in fuzzy metric spaces.
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