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Jayswal, Anurag; Stancu-Minasian, Ioan; Ahmad, I.

On sufficiency and duality for a class of interval-valued programming problems. (English) Zbl 1268.90087

Appl. Math. Comput. 218, No. 8, 4119-4127 (2011).
Summary: We are concerned with an interval-valued programming problem. Sufficient optimality conditions are established under generalized convex functions for a feasible solution to be an efficient solution. Appropriate duality theorems for Mond-Weir and Wolfe type duals are discussed in order to relate the efficient solutions of primal and dual programs.

Cited in 45 Documents

MSC:

90C30 Nonlinear programming
90C46 Optimality conditions and duality in mathematical programming

Keywords:

interval-valued programming problems; generalized convexity; efficiency; sufficient optimality conditions; duality
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References:

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