Nondifferentiable Second-order Minimax Mixed Integer Symmetric Duality

نویسندگان

  • Tilak Raj Gulati
  • Shiv Kumar Gupta
  • S. K. GUPTA
چکیده

In this paper, a pair of Wolfe type nondifferentiable second order symmetric minimax mixed integer dual problems is formulated. Symmetric and self-duality theorems are established under η1bonvexity/η2-boncavity assumptions. Several known results are obtained as special cases. Examples of such primal and dual problems are also given.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Second-Order Symmetric Duality for Minimax Mixed Integer Programs over Cones

A duality theorem for a pair of Wolfe-type second-order minimax mixed integer symmetric dual programs over cones is proved under separability and η-bonvexity/η-boncavity of the function k(x, y) appearing in the objective, where : . n m k R R R × ֏ Mond-Weir type symmetric duality over cones is also studied under η-pseudobonvexity/ηpseudoboncavity assumptions. Self duality (when the dual proble...

متن کامل

Non-differentiable second order symmetric duality in mathematical programming with F-convexity

A pair of Wolfe type non-differentiable second order symmetric primal and dual problems in mathematical programming is formulated. The weak and strong duality theorems are then established under second order F-convexity assumptions. Symmetric minimax mixed integer primal and dual problems are also investigated. 2002 Elsevier Science B.V. All rights reserved.

متن کامل

Second-order duality for nondifferentiable minimax fractional programming problems with generalized convexity

*Correspondence: [email protected] Department of Mathematics, University of Tabuk, Tabuk, Kingdom of Saudi Arabia Abstract In the present paper, we are concerned with second-order duality for nondifferentiable minimax fractional programming under the second-order generalized convexity type assumptions. The weak, strong and converse duality theorems are proved. Results obtained in this paper ext...

متن کامل

A Pair of Higher Order Symmetric Nondifferentiable Multiobjective Mini-maxmixed Programming Problems

A PAIR OF HIGHER ORDER SYMMETRIC NONDIFFERENTIABLE MULTIOBJECTIVE MINI-MAXMIXED PROGRAMMING PROBLEMS Aruna Kumar Tripathy1 and Gayatri Devi2 1Department of Mathematics, Trident Academy of Technology, F2/A, Chandaka Industrial Estate, Bhubaneswar-24, Odisha, India, E-mail: [email protected] 2Department of Mathematics, ABIT, Cuttack, Odisha, India, E-mail: [email protected]...

متن کامل

Second-Order Duality for Nondifferentiable Minimax Fractional Programming Involving (F, ρ)-Convexity

We focus our study to formulate two different types of second-order dual models for a nondifferentiable minimax fractional programming problem and derive duality theorems under (F, ρ)-convexity. Several results including many recent works are obtained as special cases.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2010