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Existence Results for Particular Instances of the Vector Quasi-Equilibrium Problem on Hadamard Manifolds

Glaydston Bento (glaydstonc***at***gmail.com)
Joćo Xavier Cruz Neto (jxavier***at***ufpi.edu.br)

Abstract: We show the validity of select existence results for a vector optimization problem, and a variational inequality. More generally, we consider generalized vector quasi-variational inequalities, as well as, fixed point problems on genuine Hadamard manifolds.

Keywords: Variational inequality; Hadamard manifold; Quasi-convex Functions

Category 1: Convex and Nonsmooth Optimization (Generalized Convexity/Monoticity )


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Entry Submitted: 06/06/2015
Entry Accepted: 06/06/2015
Entry Last Modified: 06/10/2015

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