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  1. We prove that the projection operator on a nonempty closed convex subset http://static-content.springer.com/image/art%3A10.1155%2FJIA.2005.509/MediaObjects/13660_2003_Article_1561_IEq1_HTML.gif of a uniformly convex Banach spaces is uniformly continuous on bounded ...

    Authors: Jean-Paul Penot
    Citation: Journal of Inequalities and Applications 2005 2005:921970
  2. The purpose of this paper is to introduce the concept of fuzzy variational-like inequalities and to study the existence problem and the iterative approximation problem for solutions of certain kinds of fuzzy v...

    Authors: SS Chang, D O'Regan, KK Tan and LC Zeng
    Citation: Journal of Inequalities and Applications 2005 2005:201653
  3. Using the notion of inferior mean due to M. Heins, we establish two inequalities for such a mean relative to a positive harmonic function defined on the open unit ball or half-space in ...

    Authors: Yevgenya Movshovich
    Citation: Journal of Inequalities and Applications 2005 2005:913098
  4. We prove that a Jordan homomorphism from a Banach algebra into a semisimple commutative Banach algebra is a ring homomorphism. Using a signum effectively, we can give a simple proof of the Hyers-Ulam-Rassias s...

    Authors: Takeshi Miura, Sin-Ei Takahasi and Go Hirasawa
    Citation: Journal of Inequalities and Applications 2005 2005:735242
  5. Some new Gronwall-Ou-Iang type integral inequalities in two independent variables are established. These integral inequalities can be applied as tools to the study of certain class of integral and differential...

    Authors: Wing-Sum Cheung and Qing-Hua Ma
    Citation: Journal of Inequalities and Applications 2005 2005:541438
  6. We apply a fixed point result for multifunctions to derive existence results for boundary value problems of Sturm-Liouville differential equations with nonlinearities that may involve discontinuous and functio...

    Authors: S Carl and S Heikkilä
    Citation: Journal of Inequalities and Applications 2005 2005:317549
  7. We give a Grüss-type inequality which is a refinement of a result due to Dragomir and Agarwal. We also give its applications for the moments of random variables, guessing mappings, and Ozeki's inequality.

    Authors: Saichi Izumino, Josip E Pečarić and Božidar Tepeš
    Citation: Journal of Inequalities and Applications 2005 2005:918685
  8. We introduce and study a new class of generalized nonlinear implicit quasivariational inclusions involving relaxed Lipschitzian mappings. We prove the existence of solution for the generalized nonlinear implic...

    Authors: Ya-Ping Fang, Nan-Jing Huang, Jung Im Kang and Yeol Je Cho
    Citation: Journal of Inequalities and Applications 2005 2005:915890
  9. We introduce and study a new class of generalized nonlinear variational-like inequalities, which includes these variational inequalities and variational-like inequalities due to Bose, Cubiotti, Dien, Ding, Din...

    Authors: Zeqing Liu, Jeong Sheok Ume and Shin Min Kang
    Citation: Journal of Inequalities and Applications 2005 2005:634163
  10. The implicit function theorem asserts that there exists a ball of nonzero radius within which one can express a certain subset of variables, in a system of equations, as functions of the remaining variables. W...

    Authors: Marco Papi
    Citation: Journal of Inequalities and Applications 2005 2005:373250
  11. We establish optimal, in a sense, unique solvability conditions of the Cauchy problem for a wide class of linear functional differential equations in a Banach space with a solid wedge. The conditions are formu...

    Authors: Andrei Rontó and Jiří Šremr
    Citation: Journal of Inequalities and Applications 2005 2005:348549
  12. We study Carrier's equation in a noncylindrical domain. We use the penalty method combined with Faedo-Galerkin and compactness arguments. We obtain results of the existence and uniqueness of the local solution.

    Authors: Tania Nunes Rabello and Maria Cristina De Campos Vieira
    Citation: Journal of Inequalities and Applications 2005 2005:313250
  13. We consider a natural correspondence between a family of inequalities and a closed convex set. As an application, we give new types of power mean inequalities and the Hölder-type inequalities.

    Authors: Sin-Ei Takahasi, Yasuji Takahashi, Shizuo Miyajima and Hiroyuki Takagi
    Citation: Journal of Inequalities and Applications 2005 2005:964140
  14. We first prove local weighted Poincaré-type inequalities for differential forms. Then, by using the local results, we prove global weighted Poincaré-type inequalities for differential forms in John domains, wh...

    Authors: Gao Hongya and Zhang Hua
    Citation: Journal of Inequalities and Applications 2005 2005:867306
  15. The well-known Krasnoselskii twin fixed point theorem is used to investigate the existence of mild solutions for first- and second-order impulsive semilinear functional and neutral functional differential equa...

    Authors: M Benchohra, J Henderson, SK Ntouyas and A Ouahab
    Citation: Journal of Inequalities and Applications 2005 2005:357614
  16. The inequality discovered by L. K. Hua in 1965 has been generalized in several directions. In this paper, we adopt a certain conjugate method to give a simple and fundamental inequality on two functions on a s...

    Authors: Hiroyuki Takagi, Takeshi Miura, Tadashi Kanzo and Sin-Ei Takahasi
    Citation: Journal of Inequalities and Applications 2005 2005:150678

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