In this paper, we focus on the utilization of the feasible value constraint technique to address multiobjective optimization PROBLEMS (MOPs). It is attempted to overcome certain drawbacks associated with this method, such as restrictions on functions and weights, inflexibility in constraints, and challenges in assessing proper efficiency. To accomplish this, we propose an improved version of the feasible value constraint technique. Then, by incorporating approximate solutions, we establish connections between $\varepsilon$-(weakly, properly) efficient points in a general MOP and $\epsilon$-optimal solutions to the scalarization problem.

In this paper we study fuzzy multiobjective optimization PROBLEMS defined for n variables. Based on a new p-dimensional fuzzy stationary-point definition, necessary efficiency conditions are obtained. And we prove that these conditions are also sufficient under new fuzzy generalized convexity notions. Furthermore, the results are obtained under general differentiability hypothesis.

In this paper, we consider a nonsmooth multiobjective problem with equilibrium constraints (MPEC). We present three constraint qualifications (CQs) and investigate their relations. Furthermore, we derive two types of necessary optimality conditions under these CQs.

In this paper, the concept of pseudoconvexity and quasiconvexity for continuous -time functions are studied and an equivalence condition for pseudoconvexity is obtained. Moreover, under pseudoconvexity assumptions, some relationships between Minty and Stampacchia vector variational inequalities and continuous-time programming PROBLEMS are presented. Finally, some characterizations of the solution sets of a single-valued continuous-time programming problem are obtained.

The motivation behind this article is to generalize a new type of class of nondifferentiable multiob-jective fractional programming problem in which each component of objective functions contains a term including the support function of a compact convex set. For a differentiable function, we con-sider the class of pseudoquasi /strictly pseudoquasi/weak strictly pseudoquasi/quasistrictly pseudo (V;  ;  )-bonvex-type-I. Further, we formulate uni ed (mixed type) dual models and derive duality relations under aforesaid assumptions.