Second-Order Duality for Nondifferentiable Minimax Programming Involving Generalized Type I Functions |
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| Authors: | S. K. Mishra N. G. Rueda |
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| Affiliation: | (1) Department of Mathematics, Statistics, and Computer Science, College of Basic Sciences and Humanities, G. B. Pant University of Agriculture and Technology, Pantnagar, India;(2) Department of Mathematics, Merrimack College, North Andover, Massachusetts, USA |
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| Abstract: | We apply the optimality conditions of nondifferentiable minimax programming to formulate a general second-order Mond-Weir dual to the nondifferentiable minimax programming involving second-order pseudo-quasi Type I functions. We establish also weak, strong, and strict converse duality theorems.Research supported by the Council of Scientific and Industrial Research, New Delhi, India, Research Scheme-25 (0132)/04/EMR-II. |
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| Keywords: | Duality nondifferentiable programming minimax programming generalized convexity |
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