this paper introduces an implicit scheme for a   continuous representation of nonexpansive mappings on a closed convex subset of a hilbert space with respect to a   sequence of invariant means defined on an appropriate space of bounded, continuous real valued functions of the semigroup.   the main result is to    prove the strong convergence of the proposed implicit scheme to the unique solutio...

4 Introduction 5 1.1 Large vocabulary vs. small vocabulary tasks . . . . . . . . . . . . . . . . . . . . 5 1.2 Overview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 The SPHINX II System 8 2.1 Overview of SPHINX II . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 2.2 Hidden Markov Models (HMMs) . . . . . . . . . . . . . . . . . . . . . . . . . 8 Recognition Un...

Session 1. 8:40 10:15 AM. Melamed Benjamin Rutgers University, Chair Berge’s Maximum Theorem for Non-compact Image Sets and Its Applications. Pavlo Kasyanov, Kyiv Polytechnic Institute & World Data Center, Ukraine and Eugene A. Feinberg, Stony Brook University. For an upper semi-continuous set-valued mapping from one topological space to another and for a lower semi-continuous function defined ...

Let (X, z) be a topological space, and (Y, d) a metric space. A mapping F: X -+ 2’ which associates with every x E X a non-empty subset F(x) OF Y is said to be lower semi-continuous (I.s.c.) (respectively, upper semi-continuous (u.s.c.)) if, for each open set % in Y, the set (X E X: F(x) n %f # @ > (respectively, the set (X E X: F(x) c @ )) is open in X A mapping f: X-a Y is a selection for F i...

Every lower semi-continuous closed-and-convex valued mapping Φ : X → 2 , where X is a Σ-product of metrizable spaces and Y is a Hilbert space, has a single-valued continuous selection. This improves an earlier result of the author.

A new concept of pre-semicompact L -subsets is introduced, where L is a fuzzy lattice. The pre-semicompact L -subset is semi-precompact, hence it is also semicompact and strongly compact. It is described with collection of pre-semiclosed L -subset, constant α -net and α -level filter base. It is a good L -extension; it is hereditary for pre-semiclosed L -subset; it is finitely additive; it is i...

in this paper, we introduce and study the concept of $r$-fuzzy regular semi open (closed) sets in smooth topological spaces. by using $r$-fuzzy regular semi open (closed) sets, we define a new fuzzy closure operator namely $r$-fuzzy regular semi interior (closure) operator. also, we introduce fuzzy regular semi continuous and fuzzy regular semi irresolute mappings. moreover, we investigate the ...

In this paper, we introduce and characterize the concept of fuzzy almost generalized $e$-continuous mappings. Several interesting properties of these mappings are also given. Examples and counter examples are also given to illustrate the concepts introduced in the paper. We also introduce the concept of fuzzy $f T_{frac{1}{2}}e$-space, fuzzy $ge$-space, fuzzy regular $ge$-space and  fuzzy gener...