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Henig proper subdifferential of set-valued maps

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Abstract

We present a notion of Henig proper subdifferential and characterize it in terms of Henig efficiency. We also present existence and some calculus rules for Henig proper subdifferentials. Using this subdifferential, we derive optimality criteria for a constrained set-valued optimization problem.

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Acknowledgements

The author would like to express her sincere gratitude towards the anonymous referees for providing many helpful suggestions which enhanced the level of the paper. Also, the author would like to thank Prof. C.S. Lalitha, University of Delhi South Campus, New Delhi, India for providing her insight and expertise to this research work.

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Correspondence to Mansi Dhingra.

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Dhingra, M. Henig proper subdifferential of set-valued maps. OPSEARCH 56, 790–805 (2019). https://doi.org/10.1007/s12597-019-00397-w

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