[PDF] Top 20 Generalized Invexity of Higher Order and Its Applications in Variational Problems

... variation. Invexity was extended to variational problems by Mond, Chandra and Husain ...relax invexity assumption imposed on the functions involved, various generalized notions have ... See full document

... A multiobjective variational problem involving higher order derivatives is considered and optimality condi- tions for this problem are derived. A Mond-Weir type dual to this problem is constructed ... See full document

... of order cluster and order-clustered fixed point for order-cluster preserving ...some order-clustered fixed point theorems on preordered sets, which have been applied to solve some ... See full document

... lower and upper solutions without proof due to monotony. Finally, we present two nu- merical applications of our theoretical results developed in our main result. We note that the monotone iterates may not ... See full document

... the Higher Education Commission for financial support under the NRU-CSEC Project ...on Higher Education and the Thailand Research Fund under Grant ... See full document

... Agarwal et al. [] presented the optimality and duality results for multiobjective op- timization problems involving locally Lipschitz functions and type I invexity. In [], Bae et al. formulated ... See full document

... classical variational inequality problem has been extended to study a wide class of problems arising in mechanics, physics, optimization and con- trol, nonlinear programming, economics, finance, regional, ... See full document

... test higher order variational methods for pho- toacoustic ...the variational methods using Total Variation and Total Generalized Variation with Bregman iteration are ...minimization ... See full document

... and strong duality theorems of set-valued optimization problems. As to other concepts of derivatives epiderivatives of set-valued maps and their applications, one can refer to 8– 15. Recently, ... See full document

... control problems governed by elliptic equations are important problems in engineering ...control problems in such ...control problems plays an important role in numerical methods for these ... See full document

... Clarke’s generalized subgradients and established duality results for multiobjective programming ...introduced higher order strong convexity for Lipschitz ...of higher order and ... See full document

... second order dual for a constrained variational problem and established various duality re- sults under an involved invexity-like ...second order duality for the problem of [1], by in- ... See full document

... optimization problems occupy an important place in the theory of op- ...of higher-order local minimizer plays an important role in the convergence anal- ysis of iterative numerical methods [] and in ... See full document

... dual problems are validated under second- order pseudo-invexity and quasi-invexity ...dual variational problems with natural boundary values rather than fixed end points is ... See full document

... integer variational calculus plays a significant role in many areas of science, engineering, and applied ...fractional variational calculus and its applications which include classical and ... See full document

... and applications across all the discipline of pure and applied sciences; see [1-24] and the references ...of applications. Analysis of these problems requires a blend of techniques from convex ... See full document

... Remark  Results presented in the paper are significant improvement and extension of the results obtained previously by many authors. Especially, our Theorem . extends the existence of solution in the literature to the ... See full document

... In this paper, application of variational iteration method has been successfully extended to obtain approximate solutions of some higher order boundary value problems. We emphasize the power ... See full document

... of generalized equilibrium problems, the set of common fixed points of infinitely many nonexpansive mappings, and the set of solutions of the variational inequality for α-inverse-strongly monotone ... See full document

... Remark . For the generalized mixed equilibrium problem (.), if the nonlinear opera- tor A is a monotone, Lipschitz continuous mapping, ϕ is a convex and lower semicontin- uous function, and the real valued ... See full document