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Some relations between Minty variational-like inequality problems and vectorial optimization problems in Banach spaces
This paper is devoted to the study of relationships between solutions of Stampacchia
and Minty vector variational-like inequalities, weak and strong Pareto solutions of vector
optimization problems and vector critical points in Banach spaces under pseudo-invexity
and pseudo-monotonicity hypotheses. We have extended the results given by Gang and
Liu (2008) [22] to Banach spaces and the relationships obtained for weak efficient points
in Santos et al. (2008) [21] are completed and enabled to relate vector critical points,
weak efficient points, solutions of the Minty and Stampacchia weak vector variationallike inequalities problems and solutions of perturbed vector variational-like inequalities
problems