GENERALIZED VECTOR-VALUED VARIATIONAL INEQUALITIES AND FUZZY EXTENSIONS

  • Lee, Byung-Soo (Department of Mathematics Kyungsung University ) ;
  • Lee, Gue-Myung (Depatment of Applied Mathematics Pukyong National University ) ;
  • Kim, Do-Sang (Depatment of Applied Mathematics Pukyong National University )
  • Published : 1996.08.01

Abstract

Recently, Giannessi [9] firstly introduced the vector-valued variational inequalities in a real Euclidean space. Later Chen et al. [5] intensively discussed vector-valued variational inequalities and vector-valued quasi variationl inequalities in Banach spaces. They [4-8] proved some existence theorems for the solutions of vector-valued variational inequalities and vector-valued quasi-variational inequalities. Lee et al. [14] established the existence theorem for the solutions of vector-valued variational inequalities for multifunctions in reflexive Banach spaces.