On nonlinear programming with support functions |
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| Authors: | I Husain Abha Z Jabeen |
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| Institution: | 1. Department of Mathematics, Regional Engineering College, Hazaratbal, Srinagar, India
2. Department of Mathematics, Indian Institute of Technology, Hauz Khas, New Delhi, India
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| Abstract: | Optimality conditions are derived for a nonliear program in which a support function appears in the objective as well as in each constraint function. Wolfe and Mond-Weir type duals to this program are presented and various dualityresults are established under suitable convexity and generalized convexity assumptions. Special cases that often occur in the literature are those in which a support function is the square root of a positive semidefinite quadratic form or anLp norm. It is pointed out that these special cases can easily be generated from our results. |
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