Mathematical theory of von Neumann economic models. Report on recent results
Maximal elements and equilibria of generalized games for -majorized and condensing correspondences.
Measurability of multifunctions of two variables [Book]
Measurable multifunctions and their applications to convex integral functionals.
Mesocompactness and selection theory
A topological space is called mesocompact (sequentially mesocompact) if for every open cover of , there exists an open refinement of such that is finite for every compact set (converging sequence including its limit point) in . In this paper, we give some characterizations of mesocompact (sequentially mesocompact) spaces using selection theory.
Méthodes homologiques dans la théorie des applications et des champs de vecteurs sphériques dans les espaces de Banach [Book]
Metric fixed point theory for multivalued mappings [Book]
Michael's theorem for Lipschitz cells in o-minimal structures
A version of Michael's theorem for multivalued mappings definable in o-minimal structures with M-Lipschitz cell values (M a common constant) is proven. Uniform equi-LCⁿ property for such families of cells is checked. An example is given showing that the assumption about the common Lipschitz constant cannot be omitted.
M-isometries
Monotone approximation of measurable multifunctions by simple multifunctions
We investigate the problem of approximation of measurable multifunctions by monotone sequences of measurable simple ones. Our main tool is the Marczewski function, i.e., the characteristic function of a sequence of sets.
Multiapplications à retraction finie
Multiapplications boréliennes à valeurs convexes de
Multifunctions of two variables: examples and counterexamples
A brief account of the connections between Carathéodory multifunctions, Scorza-Dragoni multifunctions, product-measurable multifunctions, and superpositionally measurable multifunctions of two variables is given.
Multifunctions with convex closed graph
Multi-valued contraction mappings in complete metric spaces
Multi-valued contraction mappings in metric spaces.
Multi-valued contraction mappings in metric spaces. (Short Communication).
Multivalued fractals in b-metric spaces
Fractals and multivalued fractals play an important role in biology, quantum mechanics, computer graphics, dynamical systems, astronomy and astrophysics, geophysics, etc. Especially, there are important consequences of the iterated function (or multifunction) systems theory in several topics of applied sciences. It is known that examples of fractals and multivalued fractals are coming from fixed point theory for single-valued and multivalued operators, via the so-called fractal and multi-fractal...
Multivalued generalized contractions and fixed point theorems
Multivalued -essential maps of acyclic type on Hausdorff topological spaces.