Conjugate Maps,Subgradients and Conjugate Duality in Set-Valued Optimization |
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| Authors: | C S Lalitha |
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| Institution: | Department of Mathematics , Rajdhani College University of Delhi , New Delhi, India |
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| Abstract: | Using the concept of supremum/infimum of a set, defined in terms of the closure of the set, we introduce the notions of conjugate and biconjugate maps as well as that of subgradients of a set-valued map. Conjugate duality results are also established for a set-valued optimization problem. |
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| Keywords: | Conjugate map Duality Set-valued optimization Subgradients Supremum |
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