"000268197200011" . "[38DA195A5D51]" . "A Variational Principle in Reflexive Spaces with Kadec-Klee Norm"@en . "P(GA201/04/0090), Z(AV0Z10190503)" . "16" . . . . . "301649" . "reflexive space; Kadec-Klee norm; variational principle; perturbed function; well-posed infimum"@en . "We prove a variational principle in reflexive Banach spaces X with Kadec-Klee norm, which asserts that any Lipschitz (or any proper lower semicontinuous bounded from below extended real-valued) function in X can be perturbed with a parabola in such a way that the perturbed function attains its infimum (even more can be said - the infimum is well-posed). In addition, we have genericity of the points determining the parabolas. We prove also that the validity of such a principle actually characterizes the reflexive spaces with Kadec-Klee norm. This principle turns out to be an analytic counterpart of a result of K.-S. Lau on nearest points."@en . "DE - Spolkov\u00E1 republika N\u011Bmecko" . "Revalski, J. P." . . "1" . "A Variational Principle in Reflexive Spaces with Kadec-Klee Norm"@en . "We prove a variational principle in reflexive Banach spaces X with Kadec-Klee norm, which asserts that any Lipschitz (or any proper lower semicontinuous bounded from below extended real-valued) function in X can be perturbed with a parabola in such a way that the perturbed function attains its infimum (even more can be said - the infimum is well-posed). In addition, we have genericity of the points determining the parabolas. We prove also that the validity of such a principle actually characterizes the reflexive spaces with Kadec-Klee norm. This principle turns out to be an analytic counterpart of a result of K.-S. Lau on nearest points." . . "RIV/67985840:_____/09:00337028!RIV10-AV0-67985840" . . . "16"^^ . . . . "A Variational Principle in Reflexive Spaces with Kadec-Klee Norm" . . . "RIV/67985840:_____/09:00337028" . . "0944-6532" . . . "2"^^ . "A Variational Principle in Reflexive Spaces with Kadec-Klee Norm" . . "1"^^ . . "Fabian, Mari\u00E1n" . "Journal of Convex Analysis" . .