On min/max problems by using Moreau-Yosida with tow variables
published by Tishreen University
in 2016
in Mathematics
and research's language is
العربية
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Abstract in English
In this paper we study some basic properties of the Moreau-Yosida function with two variables , and generalize the results of related to study of the convergence for sequence of convex-concave functions and the sequence of Moreau-Yosida function corresponding , and the basic theorem that we proved is : for any sequence of convex-concave functions , if they are convergent of the Moreau-Yosida distance then the sequence of Moreau-Yosida function corresponding will be convergent to the concept of Mosco-epi/hypo graph convergence .
References used
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ATTOUCH, H; WETS,R.: Convergence Theory of saddle functions .Trans. Amaer. Math.Soc. 280, n (1), 1983 , 1-41
ATTOUCH, H ; AZE, D. ; WETS,R. :On continuity properties of the partial Legendre- FenchelTrasform : Convergence of sequences augmented Lagrangianfunctions , Moreau- Yoshida approximates and subdiffferential operators . FERMAT Days 85: Mathematics for Optimization, 1986