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Some questions of quasicontinuity related to mathematical programming. (English) Zbl 0618.90083
Continuity properties of the supremal value \(v(x)=\sup \{f(x,y)\); \(y\in F(x)\}\) of the mathematical programming problem with the objective \(f: X\times Y\to {\mathbb{R}}\) and restrictions \(y\in F(x)\) are studied [see also the author, Math. Slovaca 36, 407-416 (1986; Zbl 0613.90083)] and some continuity properties of the multifunction \(M(x)=\{y\); \(f(x,y)=v(x)\}\) are pointed out.
Reviewer: J.Butnariu

MSC:
90C30 Nonlinear programming
54C60 Set-valued maps in general topology
54C08 Weak and generalized continuity
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