Results 11 to 20 of about 291 (69)
Fuzzy optimization of primal-dual pair using piecewise linear membership functions [PDF]
, 2012 Present paper improves the model of Bector and Chandra [Fuzzy Sets and Systems, 125 (2002) 317-325] on duality in fuzzy linear programming by using non-linear membership functions.
Kumar S., Pandey D.
core +1 more source
Duality in the optimal control for damped hyperbolic systems with positive control
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 27, Page 1703-1714, 2003., 2003 We study the duality theory for damped hyperbolic equations. These systems have positive controls and convex cost functionals. Our main results lie in the application of duality theorem, that is, inf J = sup K, on various cost functions.
Mi Jin Lee +2 more
wiley +1 more source
Journal of Inequalities and Applications, 2012 In this paper, we concentrate our study to derive appropriate duality theorems for two types of second-order dual models of a nondifferentiable minimax fractional programming problem involving second-order α-univex functions.
S. Gupta, D. Dangar, Sumit Kumar
semanticscholar +1 more source
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
Dualization and discretization of linear-quadratic control problems with bang–bang solutions
EURO Journal on Computational Optimization, 2016 We consider linear-quadratic (LQ) control problems, where the control variable appears linearly and is box-constrained. It is well-known that these problems exhibit bang–bang and singular solutions. We assume that the solution is of bang–bang type, which
Walter Alt +2 more
doaj +1 more source
On the connection of facially exposed and nice cones [PDF]
, 2012 A closed convex cone K is called nice, if the set K^* + F^\perp is closed for all F faces of K, where K^* is the dual cone of K, and F^\perp is the orthogonal complement of the linear span of F.
Pataki, Gabor
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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
Journal of Inequalities and Applications, 2012 In this paper, a pair of Wolfe type higher-order symmetric nondifferentiable multiobjective programs over arbitrary cones is formulated and appropriate duality relations are then established under higher-order-K-(F,α,ρ,d)-convexity assumptions.
S. Gupta, N. Kailey, Sumit Kumar
semanticscholar +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