We introduce a vector-valued version of uniform algebra, called the function space over algebra. The diameter two properties algebra on an infinite compact Hausdorff are investigated. Every nonempty relatively weakly open subset unit ball $$A(K, (X, \tau ))$$ dimensional has two, where $$\tau $$ is locally convex topology Banach X compatible to dual pair. Under assumption equipped with norm bei...

In this paper, we introduce and study a class of generalized nonlinear vector quasi-variationallike inequalities with set-valued mappings in Hausdorff topological vector spaces which includes generalized nonlinear mixed variational-like inequalities, generalized vector quasi-variational-like inequalities, generalizedmixed quasi-variational-like inequalities and so on. Bymeans of fixed point the...