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Vector Exponential Penalty Function Method for Nondifferentiable Multiobjective Programming Problems

In this paper, a new vector exponential penalty function method for nondifferentiable multiobjective programming problems with inequality constraints is introduced. First, the case when a sequence of vector penalized optimization problems with vector exponential penalty function constructed for the original multiobjective programming problem is considered, and the convergence of...

The exact absolute value penalty function method for identifying strict global minima of order m in nonconvex nonsmooth programming

In this paper, it is demonstrated that the exact absolute value penalty function method is useful for identifying the special sort of minimizers in nonconvex nonsmooth optimization problems with both inequality and equality constraints. The equivalence between the sets of strict global minima of order m in nonsmooth minimization problem and of its associated penalized...

Sufficient optimality criteria and duality for multiobjective variational control problems with \(G\) -type I objective and constraint functions

Tadeusz Antczak In the paper, we introduce the concepts of G-type I and generalized G-type I functions for a new class of nonconvex multiobjective variational control problems. For such nonconvex

Duality for multiobjective variational control problems with \((\Phi , \rho )\) -invexity

Tadeusz Antczak In this paper, Mond-Weir and Wolfe type duals for multiobjective variational control problems are formulated. Several duality theorems are established relating efficient solutions

On efficiency and mixed duality for a new class of nonconvex multiobjective variational control problems

Tadeusz Antczak Mathematics Subject Classification In this paper, we extend the notions of ( , ) -invexity and generalized ( , ) - invexity to the continuous case and we use these concepts to

Proper efficiency and duality for a new class of nonconvex multitime multiobjective variational problems

In this paper, a new class of generalized of nonconvex multitime multiobjective variational problems is considered. We prove the sufficient optimality conditions for efficiency and proper efficiency in the considered multitime multiobjective variational problems with univex functionals. Further, for such vector variational problems, various duality results in the sense of Mond...