Existence and iterative approximations of solutions for mixed quasi-variational-like inequalities in Banach spaces
In this paper, a new class of mixed quasi-variational-like inequalities in reflexive Banach space is introduced and investigated. Some existence and uniqueness results for solutions of the mixed quasi-variational-like inequalities are established by applying a minimax inequality due to Ding-Tan and a lemma due to Chang. Two iterative algorithms and the convergence criteria of iterative sequences are studied by using a KKM theorem due to Fan and an auxiliary principle technique due to Cohen. The results extend, improve and unify several known results in the literature.
scientific article; zbMATH DE number 5369414
scientific article