A class of nonconvex functions is introduced, called semi-preinvex function, which includes
the classes of preinvex functions and arc-connected convex functions. The Fritz-John …

In this paper, we study the Karush–Kuhn–Tucker optimality conditions in a class of
nonconvex optimization problems with an interval-valued objective function. Firstly, the …

In this paper, we define the concept of η-subdifferential in a more general setting than the
one used by Yang and Craven in 1991. By using η-subdifferentiability, we suggest a …

In the present paper, we introduce the concept of η-cocoercivity of a map and develop some
iterative schemes for finding the approximate solutions of mixed variational-like inequalities …

In this paper we will establish the relationships between vector variational-like inequality
and optimization problems. We will be able to identify the vector critical points, the weakly …

The present lecture note is dedicated to the study of the optimality conditions and the duality
results for nonlinear vector optimization problems, in finite and infinite dimensions. The …

In this paper, we establish relationships between vector variational-like inequality problems
and non-smooth vector optimization problems under non-smooth invexity. We identify the …

In this paper,(α, φ, Q)-invexity is introduced, where α: X× X→ int R m+, φ: X× X→ X, X is a
Banach space, Q is a convex cone of R m. This unifies the properties of many classes of …

In this paper the generalized invex monotone functions are defined as an extension of
monotone functions. A series of sufficient and necessary conditions are also given that relate …

In this paper, we deal with the following quasi-equilibrium problem: given a nonempty
subset C of a topological vector space X, a nonempty set D, two functions T: C→ D, f: X× D→ …