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

Tadeusz Antczak ()

Journal of Global Optimization, 2014, vol. 59, issue 4, 757-785

Abstract: In this paper, we extend the notions of $$(\Phi ,\rho )$$ ( Φ , ρ ) -invexity and generalized $$(\Phi ,\rho )$$ ( Φ , ρ ) -invexity to the continuous case and we use these concepts to establish sufficient optimality conditions for the considered class of nonconvex multiobjective variational control problems. Further, multiobjective variational control mixed dual problem is given for the considered multiobjective variational control problem and several mixed duality results are established under $$(\Phi ,\rho )$$ ( Φ , ρ ) -invexity. Copyright The Author(s) 2014

Keywords: Multiobjective variational problems; Efficient solution; $$\left( \Phi; \rho \right) $$ Φ; ρ -invexity; $$\left( \Phi; \rho \right) $$ Φ; ρ -pseudo-invexity; $$\left( \Phi; \rho \right) $$ Φ; ρ -quasi-invexity; Mixed duality; 65K10; 90C29; 26B25 (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (5)

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DOI: 10.1007/s10898-013-0092-8

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