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  1. In this article, we prove the existence results of solutions for a new class of generalized quasi-variational-like inequalities (GQVLI) for η-h-pseudo-monotone type I operators defined on non-compact sets in loca...

    Authors: Mohammad Showkat Rahim Chowdhury and Yeol Je Cho
    Citation: Journal of Inequalities and Applications 2012 2012:79
  2. We introduced the notions of (λ, μ)-anti-fuzzy subgroups, studied some properties of them and discussed the product of them.

    Authors: Yuming Feng and Bingxue Yao
    Citation: Journal of Inequalities and Applications 2012 2012:78
  3. In this article, we establish some new Ostrowski type integral inequalities on time scales involving functions of two independent variables for k2 points, which on one hand unify continuous and discrete analysis,...

    Authors: Qinghua Feng and Fanwei Meng
    Citation: Journal of Inequalities and Applications 2012 2012:74
  4. In this article, an iterative sequence for relatively nonexpansive multi-valued mapping by modifying Halpern and Mann's iterations is introduced, and then some strong convergence theorems are proved. At the en...

    Authors: Jin-hua Zhu, Shih-sen Chang and Min Liu
    Citation: Journal of Inequalities and Applications 2012 2012:73
  5. We present an elementary proof of Wilker's inequality involving trigonometric functions, and establish sharp Wilker and Huygens type inequalities.

    Authors: Chao-Ping Chen and Wing-Sum Cheung
    Citation: Journal of Inequalities and Applications 2012 2012:72
  6. In this article, we study the convergence of sequences of operators on some classical vector-valued sequence spaces in the frame of abstract dual systems. Several consequences of full invariants are obtained.

    Authors: Fubin Wang and Cuixia Hao
    Citation: Journal of Inequalities and Applications 2012 2012:71
  7. We investigate the k-th order Hardy inequality (1.1) for functions satisfying rather general boundary conditions (1.2), show which of these conditions are admissible and derive sufficient, and necessary and suffi...

    Authors: Alois Kufner, Komil Kuliev and Lars-Erik Persson
    Citation: Journal of Inequalities and Applications 2012 2012:69
  8. In this article, the strict feasibility and solvability of generalized vector equilibrium problem with set-valued mapping in reflexive Banach spaces are considered. By introducing two generalized strict feasib...

    Authors: Gang Wang and Hai-tao Che
    Citation: Journal of Inequalities and Applications 2012 2012:66
  9. In this article, we adopt the fixed point and direct methods to prove the Hyers-Ulam stability for an additive-quadratic functional equation in fuzzy Banach spaces.

    Authors: Hassan Azadi Kenary, Saedeh Talebzadeh, Hamid Rezaei, Jung Rye Lee and Dong Yun Shin
    Citation: Journal of Inequalities and Applications 2012 2012:64
  10. In this article, we establish a double inequality between the generalized Heronian and logarithmic means. The achieved result is inspired by the articles of Lin and Shi et al., and the methods from Janous. The...

    Authors: Hong-Xing Shi, Bo-Yong Long and Yu-Ming Chu
    Citation: Journal of Inequalities and Applications 2012 2012:63
  11. For any fixed integer k with k ≠ 0, 1, we prove the Hyers-Ulam stability of an Euler-Lagrange-type quadratic functional equation

    Authors: Hark-Mahn Kim, Juri Lee and Eunyoung Son
    Citation: Journal of Inequalities and Applications 2012 2012:58
  12. In this article, we consider a class of parametric generalized vector quasi-variational-like inequality problem (for short, (PGVQVLIP)) in Hausdorff topological vector spaces, where the constraint set K and a set...

    Authors: Ravi P Agarwal, Jia-wei Chen, Yeol Je Cho and Zhongping Wan
    Citation: Journal of Inequalities and Applications 2012 2012:57
  13. In this article, we have introduced the Riesz convergence and Riesz core of double sequences and determined the necessary and sufficient conditions on a four-dimensional matrix A to yield P R ...

    Authors: Abdullah M Alotaibi and Celal Çakan
    Citation: Journal of Inequalities and Applications 2012 2012:56
  14. We give in this article the maximal and minimal ranks of the matrix expression A-B1V1C1-B2V2C2-B3V3C3-B4V4C4 with respect to V1, V2, V3, and V4. As applications, we derive the extremal ranks of the generalized Sc...

    Authors: Zhiping Xiong, Yingying Qin and Shifang Yuan
    Citation: Journal of Inequalities and Applications 2012 2012:54
  15. In this article, we investigate the uniqueness problems of difference operators of two meromorphic functions. Uniqueness of a meromorphic function f n and its difference operator...

    Authors: Baoqin Chen, Zongxuan Chen and Sheng Li
    Citation: Journal of Inequalities and Applications 2012 2012:48
  16. Park et al. proved the Hyers-Ulam stability of some additive functional inequalities. There is a fatal error in the proof of Theorem 3.1. We revise the statements of the main theorems and prove the revised the...

    Authors: Choonkil Park and Jung Rye Lee
    Citation: Journal of Inequalities and Applications 2012 2012:47
  17. In this article, we establish a class of small deviation theorems for functionals of random fields and the strong law of large numbers for the ordered couple of states for arbitrary random fields on homogenous...

    Authors: Weicai Peng, Weiguo Yang and Peishu Chen
    Citation: Journal of Inequalities and Applications 2012 2012:46
  18. In the setup of locally convex spaces, applying Caristi's results we prove some fixed point results for non-self multivalued maps and common fixed point theorems for Caristi type maps utilizing two different t...

    Authors: Abdul Latif, Nawab Hussain and Marwan A Kutbi
    Citation: Journal of Inequalities and Applications 2012 2012:40
  19. In this article, we define the notion of statistical convergence, statistical Cauchy and strongly p-Cesàro summability in a paranormed space. We establish some relations between them.

    Authors: Abdullah Alotaibi and Abdullah M Alroqi
    Citation: Journal of Inequalities and Applications 2012 2012:39
  20. The purpose of this article is to establish some new approximation theorems of common fixed points for a countable family of total asymptotically quasi-nonexpansive mappings in Banach spaces which generalize a...

    Authors: Shih-sen Chang, Jong Kyu Kim, H W Joseph Lee and Chi Kin Chan
    Citation: Journal of Inequalities and Applications 2012 2012:37
  21. First we present and discuss an important proof of Hardy's inequality via Jensen's inequality which Hardy and his collaborators did not discover during the 10 years of research until Hardy finally proved his f...

    Authors: Lars-Erik Persson and Natasha Samko
    Citation: Journal of Inequalities and Applications 2012 2012:29

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