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

  1. Research Article

    Contiguous Extensions of Dixon's Theorem on the Sum of a

    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...

    Junesang Choi

    Journal of Inequalities and Applications 2010 2010:589618

    Published on: 18 March 2010

  2. Research Article

    Optimality Conditions in Nondifferentiable G-Invex Multiobjective Programming

    We consider a class of nondifferentiable multiobjective programs with inequality and equality constraints in which each component of the objective function contains a term involving the support function of a c...

    HoJung Kim, YouYoung Seo and DoSang Kim

    Journal of Inequalities and Applications 2010 2010:172059

    Published on: 16 March 2010

  3. Research Article

    Optimality Conditions and Duality in Nonsmooth Multiobjective Programs

    We study nonsmooth multiobjective programming problems involving locally Lipschitz functions and support functions. Two types of Karush-Kuhn-Tucker optimality conditions with support functions are introduced. ...

    DoSang Kim and HyoJung Lee

    Journal of Inequalities and Applications 2010 2010:939537

    Published on: 16 March 2010

  4. Research Article

    Regularization Inertial Proximal Point Algorithm for Monotone Hemicontinuous Mapping and Inverse Strongly Monotone Mappings in Hilbert Spaces

    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...

    JongKyu Kim and Nguyen Buong

    Journal of Inequalities and Applications 2010 2010:451916

    Published on: 22 February 2010

  5. Research Article

    Stability of Approximate Quadratic Mappings

    We investigate the general solution of the quadratic functional equation , in the class of all functions between quasi-

    Hark-Mahn Kim, Minyoung Kim and Juri Lee

    Journal of Inequalities and Applications 2010 2010:184542

    Published on: 14 February 2010

  6. Research Article

    Stability Criterion for Discrete-Time Systems

    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...

    K Ratchagit and VuN Phat

    Journal of Inequalities and Applications 2010 2010:201459

    Published on: 2 February 2010

  7. Research Article

    New Iterative Schemes for Asymptotically Quasi-Nonexpansive Mappings

    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...

    Yonghong Yao and Yeong-Cheng Liou

    Journal of Inequalities and Applications 2010 2010:934692

    Published on: 21 January 2010