Using the topological degree and the concept of exceptional family of elements for a
continuous function, we prove a very general existence theorem for the nonlinear …

Abstract In Ref. 1, Isac, Bulavski, and Kalashnikov introduced the concept of exceptional
family of elements for a continuous function f: R n→ R n. It is known that, if there does not …

It is well known that the theory of ariational inequalities is now very well developed. The
development of this theory has been stimulated by the diversity of applications in physics …

In this paper, we investigate the generalized polynomial complementarity problem, which is
a subclass of generalized complementarity problems with the involved map pairs being two …

In this paper, the property of a function to be without exceptional family of elements (EFE) is
investigated. We show that, for a pseudomonotone operator, the solvability of a …

It is well known that variational inequalities are systematically used in the theory of many
practical problems related to” equilibrium”. The equilibrium is an important state considered …

In this paper, we investigate the characteristics of the metric projection operator PK: B→ K,
where B is a Banach space with dual space B∗, and K is a nonempty closed convex subset …

In this paper, a new notion of exceptional family of elements (EFE) for a pair of functions
involved in the implicit complementarity problem (ICP) is introduced. Based upon this notion …

In this paper, we introduce some new notions of (α, γ)-exceptional family of elements (in
short,(α, γ)-(EFE)) and (α, β, γ)-exceptional family of elements (in short,(α, β, γ)-(EFE)) for a …

In this paper, we introduce the new concept of α-exceptional families of elements and (α, β)-
exceptional families of elements for continuous functions, and utilize these notions for the …