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Selected Papers from the 10th International Conference 2009 on Nonlinear Functional Analysis and Applications

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  1. Content type: Research Article

    The purpose of this paper is to investigate the problem of finding a common element of the set of solutions for mixed equilibrium problems, the set of solutions of the variational inclusions with set-valued ma...

    Authors: Phayap Katchang and Poom Kumam

    Citation: Journal of Inequalities and Applications 2010 2010:370197

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  2. Content type: Research Article

    We introduce nondifferentiable multiobjective programming problems involving the support function of a compact convex set and linear functions. The concept of (properly) efficient solutions are presented. We f...

    Authors: KwanDeok Bae, YoungMin Kang and DoSang Kim

    Citation: Journal of Inequalities and Applications 2010 2010:930457

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  3. Content type: Research Article

    Motivated and inspired by the recent works on implicit iteration methods, we prove necessary and sufficient conditions for strong convergence of the eventually implicit iteration methods with errors to a commo...

    Authors: Tae-Hwa Kim and Kui-Yeon Kim

    Citation: Journal of Inequalities and Applications 2010 2010:820535

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  4. Content type: Research Article

    In 1994, Lavoie et al. have succeeded in artificially constructing a formula consisting of twenty three interesting results, except for five cases, closely related to the classical Dixon's theorem on the sum o...

    Authors: Junesang Choi

    Citation: Journal of Inequalities and Applications 2010 2010:589618

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  5. Content type: Research Article

    We investigate the nontrivial solutions for a class of the systems of the superquadratic nonlinear wave equations with Dirichlet boundary condition and periodic condition with a superquadratic nonlinear terms ...

    Authors: Tacksun Jung and Q-Heung Choi

    Citation: Journal of Inequalities and Applications 2010 2010:850602

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  6. Content type: Research Article

    The purpose of this paper is to present a regularization variant of the inertial proximal point algorithm for finding a common element of the set of solutions for a variational inequality problem involving a h...

    Authors: JongKyu Kim and Nguyen Buong

    Citation: Journal of Inequalities and Applications 2010 2010:451916

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  7. Content type: Research Article

    We introduce a new iterative scheme with a countable family of nonexpansive mappings for the variational inequality problems in Hilbert spaces and prove some strong convergence theorems for the proposed schemes.

    Authors: YeolJe Cho and Shenghua Wang

    Citation: Journal of Inequalities and Applications 2010 2010:687374

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  8. Content type: Research Article

    We analyze discontinuous Galerkin methods with penalty terms, namely, symmetric interior penalty Galerkin methods, to solve nonlinear Sobolev equations. We construct finite element spaces on which we develop f...

    Authors: MiRay Ohm, HyunYoung Lee and JunYong Shin

    Citation: Journal of Inequalities and Applications 2010 2010:895187

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  9. Content type: Research Article

    The purpose of this work is to introduce an iterative method for finding a common element of a solution set of a generalized equilibrium problem, of a solution set solutions of a variational inequality problem...

    Authors: Yan Hao, SunYoung Cho and Xiaolong Qin

    Citation: Journal of Inequalities and Applications 2010 2010:189036

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  10. Content type: Research Article

    We introduce a general iterative method for finding the solution of the variational inequality problem over the fixed point set of a nonexpansive semigroup in a Hilbert space. We prove that the sequence conver...

    Authors: Jinlong Kang, Yongfu Su and Xin Zhang

    Citation: Journal of Inequalities and Applications 2010 2010:264052

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  11. Content type: Research Article

    We deal with the approximate controllability for the nonlinear functional differential equation governed by the variational inequality in Hilbert spaces and present a general theorems under which previous resu...

    Authors: Jin-Mun Jeong, EunYoung Ju and KyeongYeon Lee

    Citation: Journal of Inequalities and Applications 2010 2010:768469

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  12. Content type: Research Article

    We introduce a new iterative scheme for finding the common element of the set of solutions of the generalized equilibrium problems, the set of fixed points of an infinite family of nonexpansive mappings, and t...

    Authors: Chaichana Jaiboon and Poom Kumam

    Citation: Journal of Inequalities and Applications 2010 2010:728028

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  13. Content type: Research Article

    We consider a hybrid projection algorithm basing on the shrinking projection method for two families of relatively weak quasi-nonexpansive mappings. We establish strong convergence theorems for approximating t...

    Authors: Uthai Kamraksa and Rabian Wangkeeree

    Citation: Journal of Inequalities and Applications 2010 2010:724851

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  14. Content type: Research Article

    We apply an existence theorem of variational inclusion problem on metric spaces to study optimization problems, set-valued vector saddle point problems, bilevel problems, and mathematical programs with equilib...

    Authors: Lai-Jiu Lin and Chih-Sheng Chuang

    Citation: Journal of Inequalities and Applications 2010 2010:306403

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  15. Content type: Research Article

    We deal with the well-posedness for solutions of nonlinear integrodifferential equations of second-order in Hilbert spaces by converting the problem into the contraction mapping principle with more general con...

    Authors: Dong-Gun Park, Jin-Mun Jeong and Han-Geul Kim

    Citation: Journal of Inequalities and Applications 2010 2010:280463

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  16. Content type: Research Article

    We investigate the general solution of the quadratic functional equation http://static-content.springer.com/image/art%3A10.1155%2F2010%2F184542/MediaObjects/13660_2009_Article_2076_IEq1_HTML.gif , in the class of all functions between quasi-

    Authors: Hark-Mahn Kim, Minyoung Kim and Juri Lee

    Citation: Journal of Inequalities and Applications 2010 2010:184542

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  17. Content type: Research Article

    Using the idea of Tikhonov's regularization, we present properties of the approximating curve for the split feasibility problem (SFP) and obtain the minimum-norm solution of SFP as the strong limit of the appr...

    Authors: Fenghui Wang and Hong-Kun Xu

    Citation: Journal of Inequalities and Applications 2010 2010:102085

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  18. Content type: Research Article

    This paper is concerned with the problem of delay-dependent stability analysis for discrete-time systems with interval-like time-varying delays. The problem is solved by applying a novel Lyapunov functional, a...

    Authors: K Ratchagit and VuN Phat

    Citation: Journal of Inequalities and Applications 2010 2010:201459

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  19. Content type: Research Article

    The purpose of this paper is to consider the weak convergence of an iterative sequence for finding a common element in the set of solutions of generalized equilibrium problems, in the set of solutions of class...

    Authors: ShinMin Kang, SunYoung Cho and Zeqing Liu

    Citation: Journal of Inequalities and Applications 2010 2010:827082

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