The Experts below are selected from a list of 132 Experts worldwide ranked by ideXlab platform
A. K. Tripathy - One of the best experts on this subject based on the ideXlab platform.
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higher order duality in multiobjective fractional programming with Square Root Term under generalized higher order f α β p σ d v type i univex functions
Applied Mathematics and Computation, 2014Co-Authors: A. K. TripathyAbstract:In this paper, a new generalized class of higher order ( F , α , β , ? , ? , d ) -V-type I univex function is introduced with some examples for a differentiable multiobjective programming (MP). Then multiobjective fractional programming problem (MFP) is considered in which the numerator and denominator of objective functions contain Square Root of positive semidefinite quadratic form and the necessary and sufficient conditions for efficient solution for (MFP) are established under generalized higher order ( F , α , β , ? , ? , d ) -V-type I univex functions. Again, higher order dual program is proposed for (MFP) and the duality results are established under generalized of higher order ( F , α , β , ? , ? , d ) -V-type I univex functions. Also, some computational work has been done to substantiate the analysis.
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second order duality in multiobjective fractional programming with Square Root Term under generalized univex function
International Scholarly Research Notices, 2014Co-Authors: A. K. TripathyAbstract:Three approaches of second order mixed type duality are introduced for a nondifferentiable multiobjective fractional programming problem in which the numerator and denominator of objective function contain Square Root of positive semidefinite quadratic form. Also, the necessary and sufficient conditions of efficient solution for fractional programming are established and a parameterization technique is used to establish duality results under generalized second order -univexity assumption.
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Wolfe Type Second Order Nondifferentiable Symmetric Duality in Multiobjective Programming over Cone with Generalized (K, F)-Convexity
International Scholarly Research Notices, 2014Co-Authors: A. K. TripathyAbstract:A new class of second order (K, F) pseudoconvex function is introduced with example. A pair of Wolfe type second order nondifferentiable symmetric dual programs over arbitrary cones with Square Root Term is formulated. The duality results are established under second order (K, F) pseudoconvexity assumption. Also a Wolfe type second order minimax mixed integer programming problem is formulated and the symmetric duality results are established under second order (K, F) pseudoconvexity assumption.
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mond weir type second order multiobjective mixed symmetric duality with Square Root Term under generalized univex function
International Journal of Optimization and Control : Theories & Applications, 2014Co-Authors: A. K. TripathyAbstract:In this paper, a new class of second order (Φ,ρ)-univex and second order (Φ,ρ)-pseudo univex function are introduced with example. A pair Mond-Weir type second order mixed symmetric duality for multiobjective nondifferentiable programming is formulated and the duality results are established under the mild assumption of second order (∅,ρ) univexity and second order pseudo univexity. Special cases are discussed to show that this study extends some of the known results in related domain..
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Wolfe Type Higher Order Multiple Objective Nondifferentiable Symmetric Dual Programming with Generalized Invex Function
Journal of Mathematical Modelling and Algorithms, 2014Co-Authors: A. K. Tripathy, G. DeviAbstract:In this paper, a new class of higher order (ϕ, ρ)-invex function is introduced with an example, in which the sublinearity and convexity assumption on ϕ with respect to third argument is relaxed. A pair of higher order Wolfe type multiobjective symmetric dual for a class of nondifferentiable multiobjective programming involving Square Root Term is presented and the weak duality, strong duality and converse duality theorems are established with their proofs under higher order (ϕ, ρ)-invexity and (ϕ, ρ)-incavity assumption. Self duality theorem is proved for the proposed dual program. These results are used to discuss Wolfe type higher-order symmetric minimax mixed integer dual problems. A numerical example is developed where the results of weak and strong duality theorems can be applied. Discussion on some particular cases shows that our results generalize earlier results in related domain.
C. H. Lamarque - One of the best experts on this subject based on the ideXlab platform.
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Stability of Singular Periodic Motions in a Vibro-Impact Oscillator
Nonlinear Dynamics, 2002Co-Authors: O. Janin, C. H. LamarqueAbstract:A single-degree-of-freedom vibro-impact oscillator is considered. Forsome values of parameters, a non-differentiable fixed point of thePoincaré map exists: a local expansion of the Poincaré map around such apoint is given, including a Square Root Term on the impact side. Fromthis approximate map, the stability of the fixed point can beinvestigated, and it is shown that the periodic solution is stable whenthe Floquet multipliers are real.
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Stability of Singular Periodic Motions in a Vibro-Impact Oscillator
Nonlinear Dynamics, 2002Co-Authors: O. Janin, C. H. LamarqueAbstract:A single-degree-of-freedom vibro-impact oscillator is considered. Forsome values of parameters, a non-differentiable fixed point of thePoincare map exists: a local expansion of the Poincare map around such apoint is given, including a Square Root Term on the impact side. Fromthis approximate map, the stability of the fixed point can beinvestigated, and it is shown that the periodic solution is stable whenthe Floquet multipliers are real.
N Kailey - One of the best experts on this subject based on the ideXlab platform.
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on second order duality of minimax fractional programming with Square Root Term involving generalized b p r invex functions
Annals of Operations Research, 2016Co-Authors: N Kailey, Vikas SharmaAbstract:The advantage of second-order duality is that if a feasible point of the primal is given and first-order duality conditions are not applicable (infeasible), then we may use second-order duality to provide a lower bound for the value of primal problem. Consequently, it is quite interesting to discuss the duality results for the case of second order. Thus, we focus our study on a discussion of duality relationships of a minimax fractional programming problem under the assumptions of second order B-(p, r)-invexity. Weak, strong and strict converse duality theorems are established in order to relate the primal and dual problems under the assumptions. An example of a non trivial function has been given to show the existence of second order B-(p, r)-invex functions.
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multiobjective second order mixed symmetric duality with a Square Root Term
Applied Mathematics and Computation, 2012Co-Authors: S K Gupta, N KaileyAbstract:Abstract In this paper, we have formulated a second-order mixed symmetric dual programs for a class of nondifferentiable multiobjective programming problem. Weak, strong and converse duality theorems are then proved for the aforementioned pair using the notion of second-order F-convexity/pseudoconvexity assumptions. Further, special cases are discussed to show that this paper extends some known results of the literature.
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Mond-Weir type nondifferentiable multiobjective second-order symmetric duality with cone constraints
International Journal of Mathematics in Operational Research, 2011Co-Authors: S K Gupta, N Kailey, Mahesh K. SharmaAbstract:In this paper, a pair of Mond-Weir type nondifferentiable multiobjective second-order symmetric dual programs over arbitrary cones is first formulated, where each of the objective function contains a Square Root Term with positive semidefinite matrix in Rn×n. Weak, strong and converse duality results are proved for aforesaid model under second-order K-F-convexity/K-η-bonvexity assumptions. Several known results are obtained as special cases.
G. Devi - One of the best experts on this subject based on the ideXlab platform.
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Wolfe Type Higher Order Multiple Objective Nondifferentiable Symmetric Dual Programming with Generalized Invex Function
Journal of Mathematical Modelling and Algorithms, 2014Co-Authors: A. K. Tripathy, G. DeviAbstract:In this paper, a new class of higher order (ϕ, ρ)-invex function is introduced with an example, in which the sublinearity and convexity assumption on ϕ with respect to third argument is relaxed. A pair of higher order Wolfe type multiobjective symmetric dual for a class of nondifferentiable multiobjective programming involving Square Root Term is presented and the weak duality, strong duality and converse duality theorems are established with their proofs under higher order (ϕ, ρ)-invexity and (ϕ, ρ)-incavity assumption. Self duality theorem is proved for the proposed dual program. These results are used to discuss Wolfe type higher-order symmetric minimax mixed integer dual problems. A numerical example is developed where the results of weak and strong duality theorems can be applied. Discussion on some particular cases shows that our results generalize earlier results in related domain.
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Second order multiobjective mixed symmetric duality containing Square Root Term with generalized invex function
OPSEARCH, 2013Co-Authors: A. K. Tripathy, G. DeviAbstract:In this paper we presented a pair of second order mixed symmetric dual for a class of nondifferentiable multiobjective programming involving Square Root Term like (x^TAx)^1/2. We established weak duality, strong duality and converse duality theorems with their proofs under second order (Φ, ρ)-invexity and (Φ, ρ)-pseudo invexity assumption. Discussion on some particular cases shows that our results generalize earlier results in related domain.
O. Janin - One of the best experts on this subject based on the ideXlab platform.
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Stability of Singular Periodic Motions in a Vibro-Impact Oscillator
Nonlinear Dynamics, 2002Co-Authors: O. Janin, C. H. LamarqueAbstract:A single-degree-of-freedom vibro-impact oscillator is considered. Forsome values of parameters, a non-differentiable fixed point of thePoincaré map exists: a local expansion of the Poincaré map around such apoint is given, including a Square Root Term on the impact side. Fromthis approximate map, the stability of the fixed point can beinvestigated, and it is shown that the periodic solution is stable whenthe Floquet multipliers are real.
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Stability of Singular Periodic Motions in a Vibro-Impact Oscillator
Nonlinear Dynamics, 2002Co-Authors: O. Janin, C. H. LamarqueAbstract:A single-degree-of-freedom vibro-impact oscillator is considered. Forsome values of parameters, a non-differentiable fixed point of thePoincare map exists: a local expansion of the Poincare map around such apoint is given, including a Square Root Term on the impact side. Fromthis approximate map, the stability of the fixed point can beinvestigated, and it is shown that the periodic solution is stable whenthe Floquet multipliers are real.