Saddle Point Optimality Criteria of Interval Valued Non-Linear Programming Problem

作     者：Md Sadikur Rahman Emad E.Mahmoud Ali Akbar Shaikh Abdel-Haleem Abdel-Aty Asoke Kumar Bhunia 

作者机构：Department of MathematicsThe University of BurdwanBurdwan713104India Department of Mathematics and StatisticsCollege of ScienceTaif UniversityP.O.Box 11099Taif21944Saudi Arabia Department of PhysicsCollege of SciencesUniversity of BishaP.O.Box 344Bisha61922Saudi Arabia Physics DepartmentFaculty of ScienceAl-Azhar UniversityAssiut71524Egypt 

出 版 物：《Computer Systems Science & Engineering》 (计算机系统科学与工程（英文）)

年 卷 期：2021年第38卷第9期

页      面：351-364页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Taif University Researchers Supporting Project number(TURSP-2020/20) Taif University Taif Saudi Arabia 

主　　题：Convexity of interval valued function extended Fritz-John theorem Interval order relation Karlin’s constraint saddle point optimality 

摘      要：The present paper aims to develop the Kuhn-Tucker and Fritz John criteria for saddle point optimality of interval-valued nonlinear programming *** achieve the study objective,we have proposed the definition of minimizer and maximizer of an interval-valued non-linear programming ***,we have introduced the interval-valued Fritz-John and Kuhn Tucker saddle point *** that,we have established both the necessary and sufficient optimality conditions of an interval-valued non-linear minimization ***,we have shown that both the saddle point conditions(Fritz-John and Kuhn-Tucker)are sufficient without any convexity *** with the convexity requirements,we have established that these saddle point optimality criteria are the necessary conditions for optimality of an interval-valued non-linear programming with real-valued ***,all the results are derived with the help of interval order ***,we illustrate all the results with the help of a numerical example.