Mixed Type Second-Order Duality for Variational Problems

I. Husain, Bilal Ahmad

Abstract


A mixed type second-order dual to a variational problem is formulated as a unification of Wolfe and Mond-Weir type dual problems already treated in the literature and various duality results are validated under generalized second order invexity. Problems with natural boundary values are formulated and it also is pointed out that our duality results can be regarded as dynamic generalizations of those of (static) nonlinear programming.

Keywords


Mixed type second-order duality; Second-order invexity; Natural boundary values; Nonlinear programming; Variational problems

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DOI: http://dx.doi.org/10.26713%2Fjims.v5i1.101

eISSN 0975-5748; pISSN 0974-875X