Displaying similar documents to “Generalizations of Sequential Lower Semicontinuity”

On lower semicontinuity in the calculus of variations

Giovanni Leoni (2001)

Bollettino dell'Unione Matematica Italiana

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Vengono studiate proprietà di semicontinuità per integrali multipli u ∈ W k , 1 ⁢ Ω ; R d ↦ ∫ Ω f ⁢ x , u ⁢ x , … ⁢ ∇ k ⁡ u ⁢ x ⁢ d ⁢ x quando f soddisfa a condizioni di semicontinuità nelle variabili x , u , … , ∇ k - 1 ⁡ u ⁢ x e può non essere soggetta a ipotesi di coercitività, e le successioni ammissibili in W k , 1 ⁢ Ω ; R d convergono fortemente in W k - 1 , 1 ⁢ Ω ; R d .

Generalized Variational Inequalities for Upper Hemicontinuous and Demi Operators with Applications to Fixed Point Theorems in Hilbert Spaces

Chowdhury, Mohammad (1998)

Serdica Mathematical Journal

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∗ The final version of this paper was sent to the editor when the author was supported by an ARC Small Grant of Dr. E. Tarafdar. Existence theorems of generalized variational inequalities and generalized complementarity problems are obtained in topological vector spaces for demi operators which are upper hemicontinuous along line segments in a convex set X. Fixed point theorems are also given in Hilbert spaces for set-valued operators T which are upper hemicontinuous along line...

Strong-weak Stackelberg Problems in Finite Dimensional Spaces

Aboussoror, Abdelmalek, Loridan, Pierre (1995)

Serdica Mathematical Journal

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We are concerned with two-level optimization problems called strongweak Stackelberg problems, generalizing the class of Stackelberg problems in the strong and weak sense. In order to handle the fact that the considered two-level optimization problems may fail to have a solution under mild assumptions, we consider a regularization involving ε-approximate optimal solutions in the lower level problems. We prove the existence of optimal solutions for such regularized problems and present...

Abstract Subdifferential Calculus and Semi-Convex Functions

Ivanov, Milen, Zlateva, Nadia (1997)

Serdica Mathematical Journal

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∗ The work is partially supported by NSFR Grant No MM 409/94. We develop an abstract subdifferential calculus for lower semicontinuous functions and investigate functions similar to convex functions. As application we give sufficient conditions for the integrability of a lower semicontinuous function.