Results 11 to 20 of about 236 (35)
Duality models for some nonclassical problems in the calculus of variations
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 66, Page 4145-4182, 2003., 2003 Parametric and nonparametric necessary and sufficient optimality conditions are established for a class of nonconvex variational problems with generalized fractional objective functions and nonlinear inequality constraints containing arbitrary norms. Based on these optimality criteria, ten parametric and parameter‐free dual problems are constructed and
G. J. Zalmai
wiley +1 more source
On the convergence of min/sup points in optimal control problems
Abstract and Applied Analysis, Volume 6, Issue 1, Page 35-52, 2001., 2001 We modify the definition of lopsided convergence of bivariate functionals to obtain stability results for the min/sup points of some control problems. In particular, we develop a scheme of finite dimensional approximations to a large class of non‐convex control problems.
Adib Bagh
wiley +1 more source
A remark on Gwinner′s existence theorem on variational inequality problem
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 8, Page 573-575, 2000., 2000 Gwinner (1981) proved an existence theorem for a variational inequality problem involving an upper semicontinuous multifunction with compact convex values. The aim of this paper is to solve this problem for a multifunction with open inverse values.
V. Vetrivel, S. Nanda
wiley +1 more source
Duality in the optimal control of hyperbolic equations with positive controls
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 3, Page 181-188, 2000., 2000 We study the duality theory for hyperbolic equations. Also, we consider distributed control systems with positive control and convex cost functionals.
Jong Yeoul Park, Mi Jin Lee
wiley +1 more source
A unified framework for utility maximization problems: An Orlicz space approach [PDF]
, 2008 We consider a stochastic financial incomplete market where the price processes are described by a vector-valued semimartingale that is possibly nonlocally bounded.
Biagini, Sara, Frittelli, Marco
core +5 more sources
Monotone Linear Relations: Maximality and Fitzpatrick Functions [PDF]
, 2008 We analyze and characterize maximal monotonicity of linear relations (set-valued operators with linear graphs). An important tool in our study are Fitzpatrick functions.
Bauschke, Heinz H. +2 more
core +1 more source
Strong duality in conic linear programming: facial reduction and extended duals
, 2013 The facial reduction algorithm of Borwein and Wolkowicz and the extended dual of Ramana provide a strong dual for the conic linear program $$ (P) \sup { | Ax \leq_K b} $$ in the absence of any constraint qualification.
A. Ben-Tal +24 more
core +1 more source
Scalar Representation and Conjugation of Set-Valued Functions
, 2012 To a function with values in the power set of a pre-ordered, separated locally convex space a family of scalarizations is given which completely characterizes the original function.
Aubin J-P +15 more
core +1 more source
Quasiconvex bulk and surface energies: C1,α regularity
Advances in Nonlinear AnalysisWe establish regularity results for equilibrium configurations of vectorial multidimensional variational problems, involving bulk and surface energies.
Carozza Menita +2 more
doaj +1 more source
Nonlinear EngineeringIn its first part, this article develops a variational formulation for the incompressible Euler system in fluid mechanics. The results are based on standard tools of calculus of variations and constrained optimization.
Botelho Fabio Silva
doaj +1 more source