One of the tools for building new fixed-point results is use symmetry in distance functions. The symmetric property metrics particularly useful constructing contractive inequalities analyzing different models practical consequences. A lot important invariant point crisp mappings have been improved by using metrics. However, more than a handful theorems spaces are yet to be investigated fuzzy ve...

In this paper, we study some of the properties of interval valued fuzzy generalized semi-preirresolute mappings.

A selection problem for convex-valued mappings is studied. Two general results, so called “sandwich” theorems, are proved.

Let V be a system of weights on a completely regular Hausdorff space and let B(E) be the topological vector space of all continuous linear operators on a Hausdorff topological vector space E. Let CV0(X,E) and CVb(X,E) be the nonlocally convex weighted spaces of continuous functions. In the present paper, we characterize compact multiplication operators Mψ on CV0 (X,E) ( or CVb(X,E)) induced by ...

Inverse limits with set-valued functions having graphs that are the union of mappings have attracted some attention over the past few years. In this paper we show that if the graph of a surjective set-valued function f : [0, 1] → 2[0,1] is the union of two mappings having only one point (x, x) in common such that x is not the image of any other point of the interval under f , then its inverse l...

Deguire and Lassonde [P. Deguire, M. Lassonde, Familles sélectantes, Topol. Methods Nonlinear Anal. 5 (1995) 261–269] extend the concept of continuous selection and introduce the notion of selecting family for a family of set-valued mappings. In this paper, we first establish a new existence theorem of selecting families. The existence of the selecting families will be then used in order to obt...

Abstract_ _ We prove a common coincidence point theorem for a non-fuzzy mapping and a pair of fuzzy mappings under a ' contraction condition on a metric space in the context of Hausdor¤ metric on the family of fuzzy sets. Further, we establish a common coincidence point theorem on a metric space with the d1 metric on fuzzy sets, which extends a number of recent results. As applications, we obta...

We introduce and study the Split Common Null Point Problem (SCNPP) for set-valued maximal monotone mappings in Hilbert space. This problem generalizes our Split Variational Inequality Problem (SVIP) [Y. Censor, A. Gibali and S. Reich, Algorithms for the split variational inequality problem, Numerical Algorithms, accepted for publication, DOI 10.1007/s11075-011-9490-5]. The SCNPP with only two s...

The paper is devoted to variational analysis of set-valued mappings acting from quasimetric spaces into topological spaces with variable ordering structures. Besides the mathematical novelty, our motivation comes from applications to adaptive dynamical models of behavioral sciences. We develop a unified dynamical approach to variational principles in such settings based on the new minimal point...