The main aim of this paper is to obtain optimality conditions for a constrained set-valued optimization problem. The concept of Clarke epiderivative is introduced and is used to derive necessary optimality conditions. In order to establish sufficient optimality criteria we introduce a new class of set-valued maps which extends the class of convex set-valued maps and is different from the class of invex set-valued maps.

Joydeep Dutta

School of Artificial Intelligence and Data Science (AIDE)

IIT Jodhpur

C.S. Lalitha

M.G. Govil

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Journal	Journal of the Australian Mathematical Society
Publisher	Australian Mathematical Publishing Association
ISSN	14467887