On a Control Problem Containing Support Functions
On a Control Problem Containing Support Functions作者机构：Department of Mathematics Jaypee University of Engineering and Technology Guna India Department of Statistics University of Kashmir Srinagar India
出 版 物：《American Journal of Operations Research》 (美国运筹学期刊（英文）)
年 卷 期：2014年第4卷第5期
页 面：319-330页
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题：Control Problem Support Function Optimality Conditions Generalized Convexity Wolfe Type Duality Nonlinear Programming Problem
摘 要：A control problem containing support functions in the integrand of the objective of the functional as well as in the inequality constraint function is considered. For this problem, Fritz John and Karush-Kuhn-Tucker type necessary optimality conditions are derived. Using Karush-Kuhn-Tucker type optimality conditions, Wolfe type dual is formulated and usual duality theorems are established under generalized convexity conditions. Special cases are generated. It is also shown that our duality results have linkage with those of nonlinear programming problems involving support functions.
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