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On vector variational-like inequalities involving right upper-Dini-derivative functions

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Abstract

In this paper, we introduce (weak) Stampacchia and Minty arcwise connected vector variational-like inequalities in the term of right upper-Dini-derivative and establish not only the relations of introduced inequalities with vector optimization problems but also the existence results, by using KKM-Fan theorem and Brouwer fixed point theorem. Examples are provided to illustrate the derived results.

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Authors and Affiliations

  1. Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines), Dhanbad, Jharkhand, 826 004, India

    Anurag Jayswal & Shipra Singh

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  1. Anurag Jayswal
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  2. Shipra Singh
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Correspondence to Anurag Jayswal.

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Jayswal, A., Singh, S. On vector variational-like inequalities involving right upper-Dini-derivative functions. Afr. Mat. 29, 383–398 (2018). https://doi.org/10.1007/s13370-018-0548-6

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