Minimization of functional with integrand expressed as minimum of quasiconvex functions - general and special cases

• Autorzy: Piotr Puchała
• Języki publikacji: EN

Abstrakty

EN

We present Z. Naniewicz method of optimization a coercive integral functional 𝒥 with integrand being a minimum of quasiconvex functions. This method is applied to the minimization of functional with integrand expressed as a minimum of two quadratic functions. This is done by approximating the original nonconvex problem by appropriate convex ones.

Kategorie tematyczne

• 49J45: Methods involving semicontinuity and convergence; relaxation
• 46N10: Applications in optimization, convex analysis, mathematical programming, economics
• 49N15: Duality theory
• 28E99: None of the above, but in this section
• 49J40: Variational methods including variational inequalities

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2014
• Tom: 101
• Numer: 1
• Strony: 169-186

Daty

wydano

2014

Twórcy

autor

Piotr Puchała

• Institute of Mathematics, Częstochowa University of Technology, al. Armii Krajowej 21, 42-200 Częstochowa, Poland

Identyfikatory

DOI

10.4064/bc101-0-14