2 citations · 3 across the 6 of their papers we have counts for
6 papers
Some optimality conditions of set-valued optimization problems in locally convex topological vector spaces
Renying Zeng
In this article, we work with set-valued optimization problems in locally convex topological vector spaces. We prove the equivalencies of some definitions of generalized convex map…
Saddle-point theorems for the generalized cone-convex optimizations of set-valued functions
Renying Zeng
This paper works with preconvexlike set-valued vector optimization problems in topological linear spaces. A Fakas-Minkowski alternative theorem, a scalarization theorem, some vecto…
- Integrable Functions and Weak Convergence of Finite Measures
Renying Zeng
This paper deals with functions that defined in metric spaces and valued in complete paranormed vector spaces or valued in Banach spaces, and obtains some necessary and sufficient…
Lagrangian Multipliers for Presubconvexlike Optimization Problems of Set Valued Functions
Renying Zeng
In this paper, we discuss scalar Lagrangian multipliers and vector Lagrangian multipliers for constrained set-valued optimization problems. We obtain some necessary conditions, suf…
Warasian Economic Equilibrium Problems in Convex Regions
Renying Zeng
We define Walrasian economic equilibrium in convex regions. We introduce the definition of strict-proper quasimonotone functions, and derive some necessary and sufficient condition…
Analytic Center Cutting Plane Methods for Variational Inequalities over Convex Bodies
Renying Zeng
An analytic center cutting plane method is an iterative algorithm based on the computation of analytic centers. In this paper, we propose some analytic center cutting plane methods…