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Lower-semicontinuity and optimization of convex functionals
(2009-12-01)
The result that we treat in this article allows to the utilization of classic tools of convex analysis in the study of optimality conditions in the optimal control convex process for a Volterra-Stietjes linear integral ...
Weak compactness of sublevel sets in complete locally convex spaces
(Heldermann Verlag, 2019)
© 2019 Heldermann Verlag. All rights reserved.In this work we prove that if X is a complete locally convex space and {equation presented} is a function such that f -x∗attains its minimum for every x∗∈ U, where U is an open ...
On the klee-saint raymond's characterization of convexity
(2016)
Using techniques of convex analysis, we provide a direct proof of a recent characterization of convexity given in the setting of Banach spaces in [J. Saint Raymond, J. Nonlinear Convex Anal., 14 (2013), pp. 253-262]. Our ...
On the klee-saint raymond's characterization of convexity
(2016)
Using techniques of convex analysis, we provide a direct proof of a recent characterization of convexity given in the setting of Banach spaces in [J. Saint Raymond, J. Nonlinear Convex Anal., 14 (2013), pp. 253-262]. Our ...
An outcome space approach for generalized convex multiplicative programs
(SpringerDordrechtHolanda, 2010)
Characterizations of the subdifferential of convex integral functions under qualification conditions
(Academic Press Inc., 2019)
This work provides formulae for the ε-subdifferential of integral functions in the framework of complete σ-finite measure spaces and locally convex spaces. In this work we present here new formulae for this ε-subdifferential ...