THE SYSTEM OF VECTOR VARIATIONAL-LIKE INEQUALITIES WITH WEAKLY RELAXED [ηγ-αγ] γ∈Γ PSEUDOMONOTONE MAPPINGS IN BANACH SPACES
Malek Abbasi, K H Pourbarat · 2010
In this paper, we introduce two concepts of weakly relaxed {ηγ − αγ}γ∈Γ pseudomonotone and demipseudomonotone mappings in Banach spaces. Then we obtain some results of the solutions existence for a system of vector variational-like inequalities with weakly relaxed {ηγ − αγ}γ∈Γ pseudomonotone and demipseudomonotone mappings in reflexive Banach spaces. Finally we show that our results improve and extend some corresponding results of Ref [6].