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http://dx.doi.org/10.14317/jami.2014.491

OPTIMALITY CONDITIONS AND DUALITY RESULTS OF THE NONLINEAR PROGRAMMING PROBLEMS UNDER ρ-(p, r)-INVEXITY ON DIFFERENTIABLE MANIFOLDS

Jana, Shreyasi (Department of Mathematics, Indian Institute of Technology Kharagpur)
Nahak, Chandal (Department of Mathematics, Indian Institute of Technology Kharagpur)

Publication Information

Journal of applied mathematics & informatics / v.32, no.3_4, 2014 , pp. 491-502 More about this Journal

Abstract

In this paper, by using the notion of ${\rho}$ -(p,r)-invexity assumptions on the functions involved, optimality conditions and duality results (Mond-Weir, Wolfe and mixed type) are established on differentiable manifolds. Counterexample is constructed to justify that our investigations are more general than the existing work available in the literature.

Keywords

Generalized invexity; Nonconvex optimization; Manifold; Duality;

Citations & Related Records

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