Vector variational-like inequalities with \(\eta\)-generally convex mappings

Abstract

Because of applications in optimization problems, mathematical programming, equilibrium problem and operations research, considerable progresses have been achieved in both theory and applications of vector variational-like inequalities. In this work, we consider vector variational-like inequalities with \(\eta\)-generally convex mappings and prove some existence results for our inequalities in the setting of Hausdorff topological vector space. The results presented in this article are more general and can be used to solve many known problems related to vector variational inequalities, variational-like inequalities and vector variational-like inequalities. References

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