Gap Functions of a Kind of Hartman-Stampacchia Mutivalued Vector Variational-like Inequalities
Zheng Zhang · Journal of Neijiang Normal University · 2012
Gap function is a powerful tool for translating variational inequalities into optimization problems,and is widely used to research the nonempty and the stability of variational inequality results.The strong Hartman and Stampacchia mutivalued vector variational-like inequality(SHSVL for short) and the weak Hartman and Stampacchia mutivalued vector variational-like inequality(WHSVL for short) are investigated.Furthermore,the gap functions of SHSVL and WHSVL that have mutivalued mapping are discussed by means of quantification.