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Convergence,Scalarization and Continuity of Minimal Solutions in Set Optimization: 《Journal of the Operations Research Society of China》2024年第3期773-793,共21页Karuna C.S.Lalitha; supported by MATRICS scheme of Department of Science and Technology,India(No.MTR/2017/00016).; The paper deals with the study of two different aspects of stability in the given space as well as the image space,where the solution concepts are based on a partial order relation on the family of bounded subsets of ...; 关键词：Topological convergence Painlevé-Kuratowski convergence Upper semicontinuity Lower semicontinuity STABILITY SCALARIZATION

A FLEXIBLE OBJECTIVE-CONSTRAINT APPROACH AND A NEW ALGORITHM FOR CONSTRUCTING THE PARETO FRONT OF MULTIOBJECTIVE OPTIMIZATION PROBLEMS被引量：1: 《Acta Mathematica Scientia》2024年第2期702-720,共19页N.HOSEINPOOR M.GHAZNAVI; In this article, a novel scalarization technique, called the improved objective-constraint approach, is introduced to find efficient solutions of a given multiobjective programming problem. The presented scalarized pr...; 关键词：multiobjective optimization Pareto front SCALARIZATION objective-constraint approach proper efficient solution

TypeⅠcritical dynamical scalarization and descalarization in Einstein-Maxwell-scalar theory: 《Science China(Physics,Mechanics & Astronomy)》2024年第2期40-58,共19页Jia-Yan Jiang Qian Chen Yunqi Liu Yu Tian Wei Xiong Cheng-Yong Zhang Bin Wang; supported by the National Natural Science Foundation of China(Grant Nos.11975235,12005077,12035016,and 12075202);Guangdong Basic and Applied Basic Research Foundation(Grant No.2021A1515012374)。; We investigated the critical dynamical scalarization and descalarization of black holes within the framework of the EinsteinMaxwell-scalar theory featuring higher-order coupling functions.Both the critical scalarizati...; 关键词：black hole(de)scalarization dynamical critical behavior ATTRACTOR

Critical scalarization and descalarization of black holes in a generalized scalar-tensor theory被引量：1: 《Science China(Physics,Mechanics & Astronomy)》2023年第10期44-52,共9页Yunqi Liu Cheng-Yong Zhang Qian Chen Zhoujian Cao Yu Tian Bin Wang; supported by the National Key R&D Program of China(Grant No.2020YFC2201400);the National Natural Science Foundation of China(Grant Nos.11975235,12005077,and 12035016);Guangdong Basic and Applied Basic Research Foundation(Grant No.2021A1515012374);partially supported by the National Natural Science Foundation of China(Grant No.12075202)。; We study the critical dynamics in scalarization and descalarization in the fully nonlinear dynamical evolution in the class of theories with a scalar field coupling with both Gauss-Bonnet(GB) invariant and Ricci scala...; 关键词：black hole(de)scalarization dynamical critical behavior marginally attractor

Approximate Weak Minimal Solutions of Set-Valued Optimization Problems: 《Journal of the Operations Research Society of China》2023年第3期673-692,共20页S.Khoshkhabar-amiranloo; Institute for Research in Fundamental Sciences(No.96580048).; This paper deals with approximate weak minimal solutions of set-valued optimization problems under vector and set optimality criteria.The relationships between various concepts of approximate weak minimal solutions ar...; 关键词：Set-valued optimization Approximate weak minimal solutions Existence theorems Optimality conditions Scalarization functions

Dynamical spontaneous scalarization in Einstein-Maxwell-scalar theory: 《Chinese Physics C》2022年第9期268-275,共8页Wei Xiong Peng Liu Chao Niu Cheng-Yong Zhang Bin Wang; the National Key R&D Program of China(2020YFC2201400);the Natural Science Foundation of China(11805083,11905083,12005077);Guangdong Basic and Applied Basic Research Foundation(2021A1515012374)。; We study the linear instability and nonlinear dynamical evolution of the Reissner-Nordstrom(RN)black hole in the Einstein-Maxwell-scalar theory in asymptotic flat spacetime.We focus on the coupling function f(φ)=e^(-...; 关键词：black hole quasinormal modes SCALARIZATION

Lagrangian Relaxation Method for Multiobjective Optimization Methods: Solution Approaches: 《Journal of Applied Mathematics and Physics》2022年第5期1619-1630,共12页H. S. Faruque Alam; This paper introduces the Lagrangian relaxation method to solve multiobjective optimization problems. It is often required to use the appropriate technique to determine the Lagrangian multipliers in the relaxation met...; 关键词：Multiobjective Optimization Problem Lagrangian Relaxation Lagrange Multipliers Scalarization Method

Continuity of Solutions for Parametric Set Optimization Problems via Scalarization Methods: 《Journal of the Operations Research Society of China》2021年第1期79-97,共19页Pei-Pei Liu Hong-Zhi Wei Chun-Rong Chen Sheng-Jie Li; This research was supported by the National Natural Science Foundation of China(Nos.11301567 and 11571055);the Fundamental Research Funds for the Central Universities(No.106112017CDJZRPY0020).; The aim of this paper is to investigate the continuity of solution mappings for para-metric set optimization problems with upper and lower set less order relations by scalarization methods.First,we recall some linear ...; 关键词：Upper semicontinuity Lowersemicontinuity Parametricset optimization problems SCALARIZATION MONOTONICITY

ON APPROXIMATE EFFICIENCY FOR NONSMOOTH ROBUST VECTOR OPTIMIZATION PROBLEMS: 《Acta Mathematica Scientia》2020年第3期887-902,共16页Tadeusz ANTCZAK Yogendra PANDEY Vinay SINGH Shashi Kant MISHRA; The research of Yogendra Pandey and Vinay Singh are supported by the Science and Engineering Research Board,a statutory body of the Department of Science and Technology(DST),Government of India,through file no.PDF/2016/001113 and SCIENCE&ENGINEERING RESEARCH BOARD(SERB-DST)through project reference no.EMR/2016/002756,respectively.; In this article,we use the robust optimization approach(also called the worst-case approach)for findingε-efficient solutions of the robust multiobjective optimization problem defined as a robust(worst-case)counterpar...; 关键词：Robust optimization approach robust multiobjective optimization ε-efficient solution ε-optimality conditions SCALARIZATION

On the Well-Posedness for Optimization Problems: A Theoretical Investigation被引量：1: 《Applied Mathematics》2019年第1期19-38,共20页Rosa Ferrentino Carmine Boniello; In this paper, some theoretical notions of well-posedness and of well-posedness in the generalized sense for scalar optimization problems are presented and some important results are analysed. Similar notions of well-...; 关键词：WELL-POSEDNESS HADAMARD and Tykhonov WELL-POSEDNESS VECTOR Optimization PROBLEMS SCALARIZATION FUNCTION

SCALARIZATION