
In the past, vector variational inequalities and their generalizations have been used as a tool to solve vector optimization problems. The authors prove equivalence among Minty vector variational-like inequality, Stampacchia vector variational inequality, both for subdifferentiable functions and nondifferentiable nonconvex vector optimization problems. By using a fixed-point theorem the authors establish an existence theorem for generalized weakly efficient solutions to the vector optimization problem for nondifferentiable and nonconvex functions.
generalized solutions, fixed points, vector optimization problems, subinvex functions, variational-like inequalities, h-subdifferential, Multi-objective and goal programming
generalized solutions, fixed points, vector optimization problems, subinvex functions, variational-like inequalities, h-subdifferential, Multi-objective and goal programming
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