Functions with different strong and weak $F$-variations

Strong and Weak Augmentability in Calculus of Variations

In this paper we derive sufficient conditions for local optimality, for the Lagrange problem in the calculus of variations involving mixed equality constraints, by means of the notion of augmented Lagrangians. It is well-known that the standard necessary conditions for that problem can be easily obtained under the assumption of augmentability, instead of the usual one of normality. On the other...

Strong Topological Regularity and Weak Regularity of Banach Algebras

In this article we study two different generalizations of von Neumann regularity, namely strong topological regularity and weak regularity, in the Banach algebra context. We show that both are hereditary properties and under certain assumptions, weak regularity implies strong topological regularity. Then we consider strong topological regularity of certain concrete algebras. Moreover we obtain ...

WEAK AND STRONG DUALITY THEOREMS FOR FUZZY CONIC OPTIMIZATION PROBLEMS

The objective of this paper is to deal with the fuzzy conic program- ming problems. The aim here is to derive weak and strong duality theorems for a general fuzzy conic programming. Toward this end, The convexity-like concept of fuzzy mappings is introduced and then a speci c ordering cone is established based on the parameterized representation of fuzzy numbers. Un- der this setting, duality t...

Weak and Strong Forms of ω-Continuous Functions

On Weak and Strong 2k-Bent Boolean Functions

In this paper we introduce a sequence of discrete Fourier transforms and define new versions of bent functions, which we shall call (weak, strong) octa/hexa/2-bent functions. We investigate relationships between these classes and completely characterize the octabent and hexabent functions in terms of bent functions.