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Using a special scalarization employed for the first time for the study of necessary optimality conditions in vector optimization by Ciligot-Travain Numer. Funct. Anal. Optim. 15: 689––693, 1994, we give necessary optimality conditions for a set-valued optimization problem by establishing the...
A necessary and sufficient condition for a complete sequence of subspaces to be a fusion Banach frame for E is given. Also, we introduce fusion Banach frame sequences and give a characterization for a complete sequence of subspaces of E to be a fusion Banach frame for E in terms of fusion Banach...
In this paper, we introduce the notion of a screen slant lightlike submanifold of an indefinite cosymplectic manifold. We provide a characterization theorem for the existence of a screen slant lightlike submanifold with examples. Also, we give an example of a minimal screen slant lightlike...
The paper is devoted to the mathematical analysis of scattered time-harmonic electromagnetic waves by an infinitely long cylindrical orthotropic waveguide iris. This is modeled by an orthotropic Maxwell system in a cylindrical waveguide iris for plane waves propagating in the x 3 -direction,...
In this paper two existence results concerning the global attractivity and global asymptotic attractivity for a certain functional nonlinear integral equation are proved. Our existence results include several existence and attractivity results obtained earlier by Darwish and Hu––Yan as...
Suppose that is an algebra, σσ, ττ : →→ are two linear mappings such that both σσ ( ) and ττ ( ) are subalgebras of and 𝒳 is a ( ττ ( ), σσ ( ))-bimodule. A linear mapping D : →→ 𝒳 is called a ( σσ, ττ )-derivation if D ( ab ) == D ( a ) ·· σσ ( b ) ++ ττ ( a )...
Define the two dimensional diagonal Sunouchi operator where S 2 n , 2 n ƒƒ and σσ 2 n ƒƒ are the (2 n , 2 n )th cubic-partial sums and 2 n th Marcinkiewicz––Fejéér means of a two-dimensional Walsh––Fourier series. The main aim of this paper is to prove that the operator is bounded...
The aim of this paper is to prove the characterization on a bounded domain of with fractal boundary and a Höölder continuous function on the boundary guaranteeing the biregular extendability of the later function throughout the domain.
For a certain class of orthonormal systems (ONS) on 0, 1 there exists a family of functions from L 2 (0, 1), independent from that class, such that the Fourier series with respect to each ONS of the class converges a.e. for any member of the family. Similar result holds for the summability of...
It is shown that, under certain assumptions, the functional difference equations have at least three positive periodic solutions. Applications are given to illustrate the main results.
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