Multi-objective semi-infinite variational problem and generalized invexity

Promila Kumar (), Bharti Sharma () and Jyoti Dagar ()
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Promila Kumar: University of Delhi
Bharti Sharma: University of Delhi
Jyoti Dagar: University of Delhi

OPSEARCH, 2017, vol. 54, issue 3, No 7, 580-597

Abstract: Abstract In this paper, multiobjective semi-infinite variational problem (MSVP) has been considered. Relationship between efficiency, vector Kuhn Tucker point and vector Fritz John point for the stated problem have been established and authenticated by means of examples. Two duals namely Wolfe and Mond–Weir are purposed for (MSVP) and duality results are established under generalized invexity assumptions. Efficient solution of (MSVP) has been characterized by vector saddle point of a vector valued Lagrangian function of (MSVP). An equivalent (MSVP) is also constructed by a suitable modification of the objective function.

Keywords: Multiobjective semiinfinite variational problem; Normal efficient solution; Optimality conditions; Duality; Vector saddle point (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1007/s12597-016-0293-2

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