相关期刊:《Progress in Natural Science:Materials International》《Applied Mathematics》《Acta Mathematica Sinica,English Series》《International Journal of Intelligent Computing and Cybernetics》更多>>
In this paper, we first introduce the notion and model of generalized minimax regret equilibria with scalar set payoffs. After that, we study its general stability theorem under the conditions that the existence theor...
supported by National Science Foundation of China(No.11401487);the Education Department of Shaanxi Province(No.17JK0330);the Fundamental Research Funds for the Central Universities(No.300102341101);State Key Laboratory of Rail Transit Engineering Informatization(No.211934210083)。
In this paper,we investigate dual problems for nonconvex set-valued vector optimization via abstract subdifferential.We first introduce a generalized augmented Lagrangian function induced by a coupling vector-valued f...
the National Natural Science Foundation of China under Grant Nos.11601248,11431004,11971084。
In this paper,by the notions of base functionals and augmented dual cones,the authors indicate firstly that the norms,Gerstewitz functionals and oriented distance functions have common characteristics with base functi...
We presented Mathematical apparatus of the choice of optimum parameters of technical, technological systems and materials on the basis of vector optimization. We have considered the formulation and solution of three t...
This research was supported by the National Natural Science Foundation of China(No.11671062);the Chongqing Municipal Education Commission(No.KJ1500310);the Doctor startup fund of Chongqing Normal University(No.16XLB010).
In this paper,we propose a kind of unified strict efficiency named E-strict efficiency via improvement sets for vector optimization.This kind of efficiency is shown to be an extension of the classical strict efficienc...
Purpose–In recent decades,development of effective methods for optimizing a set of conflicted objective functions has been absorbing an increasing interest from researchers.This refers to the essence of real-life eng...
Supported by National Natural Science Foundation of China(Grant Nos.11471236 and 11561049)
In my former paper "A pre-order principle and set-valued Ekeland variational principle" (see [J. Math. Anal. Applo, 419, 904 937 (2014)]), we established a general pre-order principle. From the pre-order princip...
Supported by the National Natural Science Foundation of China(No.11171362,11571055)
In this paper, minimax theorems and saddle points for a class of vector-valued mappings f(x, y) = u(x) + β(x)v(y) are first investigated in the sense of lexicographic order, where u, v are two general vector...
supported by the National Natural Science Foundation of China under Grant Nos.11061023;11201216;and 11471291
This paper establishes some suffcient conditions for the lower semicontinuity of the effcient solution mapping for the semi-infinite vector optimization problem with perturbations of both the objective function and th...
supported by the National Natural Science Foundation of China(10871141)
Let (E,ξ)=ind(En,ξn) be an inductive limit of a sequence (En,ξn)n∈N of locally convex spaces and let every step (En,ξn) be endowed with a partial order by a pointed convex (solid) cone Sn. In the framew...