Almost midconvex and almost convex set-valued functions
Almost nearly continuous multifunctions.
Almost quasicontinuity of multivalued maps on product spaces
Almost -precontinuous multifunctions.
An Alternative Theorem for Continuous Relations and its Applications
An Application of the Stiefel-Whitney Classes to the Proof of a Fixed Point Theorem for Set-Valued Mappings
We prove a fixed point theorem for Borsuk continuous mappings with spherical values, which extends a previous result. We apply some nonstandard properties of the Stiefel-Whitney classes.
An Egoroff-type theorem for set-valued measurable functions.
An existence theorem via an intuitive idea and fixed-point theorems
An extension theorem for continuous functions
An extension theorem for multifunctions and a characterization of complete metric spaces
An implicit-function theorem for a class of monotone generalized equations
An index and a Nielsen number for n-valued multifunctions
An Ulam stability result on quasi-b-metric-like spaces
In this paper a class of general type α-admissible contraction mappings on quasi-b-metric-like spaces are defined. Existence and uniqueness of fixed points for this class of mappings is discussed and the results are applied to Ulam stability problems. Various consequences of the main results are obtained and illustrative examples are presented.
Applications of Brézis-Browder principle to the existence of fixed points and endpoint for multifunctions.
Applications of the Fréchet subdifferential
2000 Mathematics Subject Classification: 46A30, 54C60, 90C26.In this paper we prove two results of nonsmooth analysis involving the Fréchet subdifferential. One of these results provides a necessary optimality condition for an optimization problem which arise naturally from a class of wide studied problems. In the second result we establish a sufficient condition for the metric regularity of a set-valued map without continuity assumptions.
Applications of the Rådström-Hörmander Embedding Theorem to Multifunctions
Using the Rådström-Hörmander theorem on embedding of the hyperspace of closed convex sets in a Banach space, we prove multivalued versions of some results known for real functions.
Approximating fixed points of nonexpansive mappings in hyperspaces.
Approximation from the exterior of Carathéodory multifunctions
Approximation of the pareto optimal set for multiobjective optimal control problems using viability kernels
This paper provides a convergent numerical approximation of the Pareto optimal set for finite-horizon multiobjective optimal control problems in which the objective space is not necessarily convex. Our approach is based on Viability Theory. We first introduce a set-valued return function V and show that the epigraph of V equals the viability kernel of a certain related augmented dynamical system. We then introduce an approximate set-valued return function with finite set-values as the solution of...
Baire-one mappings contained in a usco map
We investigate Baire-one functions whose graph is contained in the graph of a usco mapping. We prove in particular that such a function defined on a metric space with values in is the pointwise limit of a sequence of continuous functions with graphs contained in the graph of a common usco map.