Weak Pseudo-Invexity and Characterizations of Solutions in Multiobjective Programming

نویسندگان

  • Hachem Slimani
  • Mohammed Said Radjef
چکیده

In this paper, we study Fritz John type optimality for nonlinear multiobjective programming problems under new classes of generalized invex vector functions. Relationships between these classes of vector functions are established by giving several examples. Furthermore, optimality conditions and characterizations of efficient and weakly efficient solutions are obtained under weak pseudoinvexity and by using a concept of generalized Fritz John vector critical point. We have illustrated through various non-trivial examples that the results obtained in this paper extend many previously known results in this area.

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

Multiobjective Variational Programming under Generalized Vector Variational Type I Invexity

Mond-Weir type duals for multiobjective variational problems are formulated. Under generalized vector variational type I invexity assumptions on the functions involved, sufficient optimality conditions, weak and strong duality theorems are proved efficient and properly efficient solutions of the primal and dual problems.

متن کامل

Duality for the class of a multiobjective problem with support functions under $K$-$G_f$-invexity assumptions

‎In this article‎, ‎we formulate two dual models Wolfe and Mond-Weir related to symmetric nondifferentiable multiobjective programming problems‎. ‎Furthermore‎, ‎weak‎, ‎strong and converse duality results are established under $K$-$G_f$-invexity assumptions‎. ‎Nontrivial examples have also been depicted to illustrate the theorems obtained in the paper‎. ‎Results established in this paper unify...

متن کامل

A Survey on Different Solution Concepts in Multiobjective Linear Programming Problems with Interval Coefficients

Optimization problems have dedicated a branch of research to themselves for a long time ago. In this field, multiobjective programming has special importance. Since in most real-world multiobjective programming problems the possibility of determining the coefficients certainly is not existed, multiobjective linear programming problems with interval coefficients are investigated in this paper. C...

متن کامل

Multiobjective Fractional Programming Problems and Second Order Generalized Hybrid Invexity Frameworks

In this paper, the parametrically generalized sufficient efficiency conditions for multiobjective fractional programming based on the hybrid (Φ, ρ, η, ζ, θ)−invexities are developed, and then efficient solutions to the multiobjective fractional programming problems are established. Furthermore, the obtained results on sufficient efficiency conditions are generalized to the case of the ε−efficie...

متن کامل

Mond-Weir type multiobjective second-order fractional symmetric duality with (φ, ρ)-invexity

In this paper, we start our discussion with a pair of multiobjective MondWeir type second-order symmetric dual fractional programming problem and derive weak, strong and strict duality theorems under second-order (φ, ρ)-invexity assumptions.

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 2016