Duality in multiobjective nonlinear programming involving semilocally convex and related functions

Duality in multiobjective nonlinear programming involving semilocally convex and related functions

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Article ID: iaor19992624
Country: Netherlands
Volume: 107
Issue: 3
Start Page Number: 675
End Page Number: 685
Publication Date: Jun 1998
Journal: European Journal of Operational Research
Authors: ,
Keywords: duality
Abstract:

Necessary optimality conditions are established for a multiobjective nonlinear programming problem involving semilocally convex and related functions in terms of their right differentials. Wolfe type and Mond–Weir type duals are formulated and duality results are proved under the assumptions of semilocal convexity, semilocal quasiconvexity and semilocal pseudoconvexity.

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