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

  1. 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
  2. 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
  3. 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
  4. 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
  5. 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
  6. 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
  7. 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
  8. 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
  9. 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
  10. 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
  11. 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
  12. 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
  13. 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
  14. 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
  15. 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
  16. 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
  17. 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
  18. 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
  19. We introduce two iterative sequence for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of a countable family of strict pseudocontractions in Hilbert Spac...

    Authors: Rudong Chen, Xilin Shen and Shujun Cui
    Citation: Journal of Inequalities and Applications 2010 2010:474813
  20. 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
  21. We prove some existence results of solutions for a new class of generalized bi-quasivariational inequalities (GBQVI) for quasi-pseudomonotone type II and strongly quasi-pseudomonotone type II operators defined...

    Authors: MohammadSR Chowdhury and YeolJe Cho
    Citation: Journal of Inequalities and Applications 2010 2010:237191
  22. We consider an iterative scheme for approximating the common fixed points of two asymptotically quasi-nonexpansive mappings in the intermediate sense in Banach spaces. The present results improve and extend so...

    Authors: Yonghong Yao and Yeong-Cheng Liou
    Citation: Journal of Inequalities and Applications 2010 2010:934692
  23. We consider viscosity approximation methods with demi-continuous strong pseudo-contractions for a non-expansive semigroup. Strong convergence theorems of the purposed iterative process are established in the f...

    Authors: Changqun Wu, SunYoung Cho and Meijuan Shang
    Citation: Journal of Inequalities and Applications 2010 2010:645498