On relations approximated by continuous functions
On -cluster sets and -closed spaces.
On selections of multifunctions
The purpose of this paper is to introduce a definition of cliquishness for multifunctions and to study the search for cliquish, quasi-continuous and Baire measurable selections of compact valued multifunctions. A correction as well as a generalization of the results of [5] are given.
On semigroups with an infinitesimal operator
Let be an iteration semigroup of linear continuous set-valued functions. If the semigroup has an infinitesimal operator then it is a uniformly continuous semigroup majorized by an exponential semigroup. Moreover, for sufficiently small t every linear selection of is invertible and there exists an exponential semigroup of linear continuous selections of .
On Simultaneous Fixed Points of Multi-Valued Maps.
On single-valuedness of set-valued maps satisfying linear inclusions.
On some weak conditions of commutativity in common fixed point theorems.
On some weakened forms of continuity for multifunctions
On strong convergence of multivalued maps
On the Borel class of the derived set operator
On the continuity of midpoint hall convex set-valued functions.
On the continuity of midpoint hull convex set-valued functions. (Summary).
On the equivalence of certain coincidence theorems and fixed point theorems
On the existence and uniqueness problems of solutions for set-valued and single-valued nonlinear operator equations in probabilistic normed spaces.
On the existence of a maximal element of multivalued mappings in -spaces.
On the extension and generation of set-valued mappings of bounded variation
We study set-valued mappings of bounded variation of one real variable. First we prove the existence of an extension of a metric space valued mapping from a subset of the reals to the whole set of reals with preservation of properties of the initial mapping: total variation, Lipschitz constant or absolute continuity. Then we show that a set-valued mapping of bounded variation defined on an arbitrary subset of the reals admits a regular selection of bounded variation. We introduce a notion of generated...
On the Lefschetz fixed point theorem for multivalued weighted mappings
On the maximality of the sum of two maximal monotone operators.
In this paper we deal with the maximal monotonicity of A + B when the two maximal monotone operators A and B defined in a Hilbert space X are satisfying the condition: Uλ ≥ 0 λ (dom B - dom A) is a closed linear subspace of X.
On the Nielsen fixed point theory for multivalued mappings
We present J. Jezierski's approach to the Nielsen fixed point theory for a broad class of multivalued mappings [Je1]. We also describe some generalizations and different techniques existing in the literature.
On the proximate fixed-point property for multifunctions