Weak Clarke epiderivative in set-valued optimization |
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| Authors: | CS Lalitha |
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| Institution: | a Department of Mathematics, Rajdhani College, University of Delhi, Raja Garden, New Delhi 110015, India
b Department of Mathematics, University of Delhi, Delhi 110007, India |
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| Abstract: | A new notion of weak Clarke epiderivative for a set-valued map is introduced using the concept of Clarke tangent cone. The existence, characterization and properties of weak Clarke epiderivative are then studied. Finally optimality criteria are established for a constrained set-valued optimization problem in terms of weak Clarke epiderivative. |
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| Keywords: | Set-valued optimization Epiderivative Weak minimizers Tangent cone Semilocal convexlikeness |
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