[PDF] Top 20 Existence of Solutions for Nonconvex and Nonsmooth Vector Optimization Problems

... of nonconvex and nonsmooth vector optimization problems in Banach ...the nonconvex and nonsmooth vector optimization problem and the vector ... See full document

... encounter problems with inequality constraints and deal with functionals defined on a closed and convex subset of a Banach ...in problems of mechanics and engineering, when one wants to describe more ... See full document

... set-valued optimization and related problems by utilizing contingent epiderivatives; for example, see ...optimal solutions of vector optimization ... See full document

... the optimization is to establish necessary and sufficient optimality conditions if ...The existence of the optimum solution is ensured for example by the compactness of the domain and the semi-continuity of ... See full document

... the vector critical point and found efficient solutions to multiobjective optimization problems using Lipschitz functions on classical linear ...the existence of KKT optimality ... See full document

... swarm optimization strategy was successfully implemented to solve practical nonsmooth and nonconvex economic dispatch ...optimal solutions for practical ELD problems, without any ... See full document

... inclusion problems include as special cases symmetric generalized vector quasi-equilibrium problems, vector quasi-equilibrium problems, symmetric vector quasi-variational ... See full document

... important problems, such as, optimization problems, variational inequality problems, complementary problems, minimal inequality problems, and fixed point problems, and has ... See full document

... topological vector space, the convex space, the H-space, and the G-convex space as special ...and optimization problems in abstract convex spaces with ...the existence of solutions for ... See full document

... a vector equilibrium in locally convex topological vector spaces,” in Vector Variational Inequalities and Vector Equilibria, ...of Nonconvex Optimization and Its Applications, ... See full document

... of vector optimization problem with variable ordering structure, where the ordering structure was represented by a cone-valued mapping, ...inequality problems with variable ordering structure (see, ... See full document

... of optimization problems which have been investigated in a large number of articles and ...topological vector spaces. As usual in linear and nonlinear optimization, these studies mainly deal ... See full document

... the solutions of the inequalities of Minty and Stampacchia types for subdiffer- ential (in the convex analysis sense) and efficient solutions and weakly efficient solutions, respectively, in the case of ... See full document

... where f is a continuous function. For example, Perera and Zhang [] derived nontrivial solutions for problem (.) with the help of the Yang index and critical groups. In [], Chen et al., by employing fibering map ... See full document

... K. Existence of a solution of this problem is investigated by Ansari et ...a vector-valued function and Z LX, Y which is denoted the space of all continuous linear mappings from X to Y and fs, x, y s, y − ... See full document

... The mathematical formulation of the elastodynamic problem for a cracked body, that takes into account the possibility of crack edge contact interaction and the for- mation of areas with close contact, adhesion and ... See full document

... A theory of generalized gradients is presented when both spaces are locally convex and the range space is an order complete vector lattice.. Sample applications to the theory of nonsmoot[r] ... See full document

... and assume that the solution set of (1.1) is nonempty. Among the optimization methods, classical Newton method is well known for its fast convergence property. However, the Newton step size may not be a descent ... See full document

... In all the aforementioned works, the nonlinearity is a Carathéodory function, a.e. j(z, x) is continuously differentiable in the variable x. In Barletta and Papageorgiou [], the au- thors consider a nonsmooth ... See full document

... In this paper, we consider a nonsmooth multiobjective programming problems including support functions with inequality and equality constraints. Necessary and sufficient optimality conditions are obtained by ... See full document