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[PDF] Top 20 Multiobjective Nonlinear Symmetric Duality Involving Generalized Pseudoconvexity

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Multiobjective Nonlinear Symmetric Duality Involving Generalized Pseudoconvexity

Multiobjective Nonlinear Symmetric Duality Involving Generalized Pseudoconvexity

... order symmetric dual multiobjective nonlinear programs is formulated by using the considered ...converse duality theorems for this pair are es- tablished. Finally, a self duality ... See full document

7

Duality for nondifferentiable multiobjective higher order symmetric programs over cones involving generalized (F,α,ρ,d) convexity

Duality for nondifferentiable multiobjective higher order symmetric programs over cones involving generalized (F,α,ρ,d) convexity

... higher-order duality for nonlinear ...first-order duality as it provides tighter bounds for the value of the objective function when approximations are ... See full document

16

Vol 3, No 5 (2012)

Vol 3, No 5 (2012)

... and generalized univex function can be found in Rueda et al [28], Mishra [22] and Mishra et al [23], ...established symmetric duality results for (Φ, ρ)-univex function and Thakur et al [32] have ... See full document

17

Higher order symmetric duality for a class of multiobjective fractional programming problems

Higher order symmetric duality for a class of multiobjective fractional programming problems

... Symmetric duality in nonlinear programming in which the dual of the dual is the pri- mal was introduced by Dorn ...of symmetric duality was developed sig- nificantly by Dantzig et ...of ... See full document

12

Duality Relations for a Class of a Multiobjective Fractional Programming Problem Involving Support Functions

Duality Relations for a Class of a Multiobjective Fractional Programming Problem Involving Support Functions

... Order Duality in Mul- tiobjective Fractional Programming with Support ...(2016) Duality for a Nondifferentiable Multiobjective Higher-Order Symmetric Fractional Programming Problems with Cone ... See full document

18

Duality in nondifferentiable minimax fractional programming with B (p, r)  invexity

Duality in nondifferentiable minimax fractional programming with B (p, r) invexity

... and duality for non- linear programming ...for nonlinear programming ...[13]. Generalized invexity and duality for multiobjective programming problems are discussed in [14], and ... See full document

14

Multiobjective Duality in Variational Problems with Higher Order Derivatives

Multiobjective Duality in Variational Problems with Higher Order Derivatives

... A multiobjective variational problem involving higher order derivatives is considered and optimality condi- tions for this problem are ...various duality results are validated under ... See full document

7

Mixed Type Symmetric and Self Duality for Multiobjective Variational Problems

Mixed Type Symmetric and Self Duality for Multiobjective Variational Problems

... [7], symmetric duality results in mathematical programming have been derived by a number of authors, notably, Dantzig et al [ 8 ] , Mond [ 12 ] , Bazaraa and Goode ...studied symmetric duality ... See full document

26

Vol 6, No 12 (2015)

Vol 6, No 12 (2015)

... order symmetric duality with cone constraints where as Gulati and Geeta [8] established Mond-Weir type second order symmetric duality in multiobjective programming over ...[9] ... See full document

6

Non differentiable multiobjective mixed symmetric duality under generalized convexity

Non differentiable multiobjective mixed symmetric duality under generalized convexity

... introduced symmetric duality in nonlinear programming by defining a pro- gram and its dual to be symmetric if the dual of the dual is the original ...The symmetric duality for ... See full document

10

Symmetric duality for nondifferentiable multiobjective fractional variational problems involving cones

Symmetric duality for nondifferentiable multiobjective fractional variational problems involving cones

... [] generalized these results to static and continuous nonlinear fractional ...the multiobjective case of static nonlinear fractional program, symmetric duality was established ... See full document

15

SOME OPTIMALITY AND DUALITY RESULTS FOR AN EFFICIENT SOLUTION OF MULTIOBJECTIVE NONLINEAR FRACTIONAL PROGRAMMING PROBLEM

SOME OPTIMALITY AND DUALITY RESULTS FOR AN EFFICIENT SOLUTION OF MULTIOBJECTIVE NONLINEAR FRACTIONAL PROGRAMMING PROBLEM

... a multiobjective non-linear programming problem by taking the right differentials of the objective functions and constraint functions at the efficient point to be ...a multiobjective non-linear fractional ... See full document

7

On a new generalized symmetric vector equilibrium problem

On a new generalized symmetric vector equilibrium problem

... Existence results for vector equilibrium problems (in short, VEP) have been extensively studied in recent years. It is well-known that VEP provides a general model of several classes of problems such as the vector ... See full document

12

Min–sup type zero duality gap properties for DC composite optimization problem

Min–sup type zero duality gap properties for DC composite optimization problem

... weak duality holds between (P) and ...zero duality gap property holds, and if v(P) = v(D), then we say the inf–sup-type zero duality gap property ...zero duality gap property, that is, when ... See full document

13

On tate duality and a projective scalar property for symmetric algebras

On tate duality and a projective scalar property for symmetric algebras

... of symmetric algebras over a complete discrete valuation ring O of characteristic zero to which the characterisation of Kn¨ orr lattices in terms of stable endo- morphism rings in the case of finite group ... See full document

20

On Mixed Type Duality for Nondifferentiable Multiobjective Variational Problems

On Mixed Type Duality for Nondifferentiable Multiobjective Variational Problems

... converse duality between (VP) and (Mix D), the space X is now replaced by a smaller space X 2 of piecewise smooth thrice differentiable function x : I → R n with the norm kx k ∞ + kD xk ∞ + kD 2 x k ∞ + kD 3 x k ∞ ... See full document

17

Optimality and Duality Theorems in Nonsmooth Multiobjective Optimization

Optimality and Duality Theorems in Nonsmooth Multiobjective Optimization

... nonsmooth multiobjective programming involving the support function of a compact convex ...strong duality theorems for a strict minimizer of order ... See full document

11

Optimality and duality for nonsmooth multiobjective optimization problems

Optimality and duality for nonsmooth multiobjective optimization problems

... nonsmooth multiobjective programming problems including support functions with inequality and equality ...and duality theorems for a strict minimizer of order m are ... See full document

11

On a Control Problem Containing Support Functions

On a Control Problem Containing Support Functions

... various duality theorems under generalized convexity conditions are ...our duality results and those of a nonlinear programming problem with support functions is in- ... See full document

13

Optimality and Duality for Second-order Multiobjective Variational Problems

Optimality and Duality for Second-order Multiobjective Variational Problems

... Theorem 7 (Strong duality). Let x ¯ (t ) be normal and is an efficient solution of (P). Then, there exist λ ¯ ∈ R k , a piecewise smooth function ¯ y : I → R m such that ( x ¯ (t ), ¯ λ, ¯ y (t ), ¯ p(t ) = 0) is ... See full document

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