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  1. The paper deals with the split common fixed-point problem (SCFP) introduced by Censor and Segal. Motivated by Eicke’s damped projection method, we propose a cyclic iterative scheme and prove its strong converg...

    Authors: Huanhuan Cui, Menglong Su and Fenghui Wang
    Citation: Journal of Inequalities and Applications 2013 2013:123
  2. In this paper, we prove a generalization of the strong Ekeland variational principle for a generalized distance (i.e., u-distance) on complete metric spaces. The result present in this paper extends and improves ...

    Authors: Somyot Plubtieng and Thidaporn Seangwattana
    Citation: Journal of Inequalities and Applications 2013 2013:120
  3. In this paper, a shrinking projection algorithm based on the prediction correction method for equilibrium problems and weak Bregman relatively nonexpansive mappings is introduced and investigated in Banach spa...

    Authors: Ravi P Agarwal, Jia-Wei Chen and Yeol Je Cho
    Citation: Journal of Inequalities and Applications 2013 2013:119
  4. In this paper, firstly, we define a new graph based on the semi-direct product of a free abelian monoid of rank n by a finite cyclic monoid, and then discuss some graph properties on this new graph, namely diamet...

    Authors: Eylem Guzel Karpuz, Kinkar Chandra Das, Ismail Naci Cangul and Ahmet Sinan Çevik
    Citation: Journal of Inequalities and Applications 2013 2013:118
  5. In this paper, we prove the existence and uniqueness of a fixed point for certain α-admissible contraction mappings. Our results generalize and extend some well-known results on the topic in the literature. We co...

    Authors: Nawab Hussain, Erdal Karapınar, Peyman Salimi and Farhana Akbar
    Citation: Journal of Inequalities and Applications 2013 2013:114
  6. We establish new approximate selection theorems for almost lower semicontinuous multimaps with n-connectedness. Our results unify and extend the approximate selection theorems in many published works and are appl...

    Authors: Hoonjoo Kim
    Citation: Journal of Inequalities and Applications 2013 2013:113
  7. As a generalization of 2D Bernoulli polynomials, neo-Bernoulli polynomials are introduced from a point of view involving the use of nonexponential generating functions. Their relevant recurrence relations, the...

    Authors: Da-Qian Lu and Qiu-Ming Luo
    Citation: Journal of Inequalities and Applications 2013 2013:110
  8. In this paper, we examine some properties of suborbital graphs for the Picard group. We obtain edge and circuit conditions, then propose a conjecture for the graph to be forest. This paper is an extension of s...

    Authors: Murat Beşenk, Bahadır Ö Güler, Ali H Değer and Yavuz Kesicioğlu
    Citation: Journal of Inequalities and Applications 2013 2013:106
  9. In this paper, we introduce a kind of q-gamma operators based on the concept of a q-integral. We estimate moments of these operators and establish direct and local approximation theorems of the operators. The est...

    Authors: Qing-Bo Cai and Xiao-Ming Zeng
    Citation: Journal of Inequalities and Applications 2013 2013:105
  10. The purpose of this paper is to provide some remarks for the main results of the paper Verma (Appl. Math. Lett. 21:142-147, 2008). Further, by using the generalized proximal operator technique associated with ...

    Authors: Heng-you Lan
    Citation: Journal of Inequalities and Applications 2013 2013:97
  11. In this paper we extend the notion of weakly C-contraction mappings to the case of non-self mappings and establish the best proximity point theorems for this class. Our results generalize the result due to Harjan...

    Authors: Chirasak Mongkolkeha, Yeol Je Cho and Poom Kumam
    Citation: Journal of Inequalities and Applications 2013 2013:94
  12. Recently, Todeschini et al. (Novel Molecular Structure Descriptors - Theory and Applications I, pp. 73-100, 2010), Todeschini and Consonni (MATCH Commun. Math. Comput. Chem. 64:359-372, 2010) have proposed the mu...

    Authors: Kinkar C Das, Aysun Yurttas, Muge Togan, Ahmet Sinan Cevik and Ismail Naci Cangul
    Citation: Journal of Inequalities and Applications 2013 2013:90
  13. In the present paper, we would like to introduce a simple transformation for bivariate means from which we derive a lot of new means. Relationships between the standard means are also obtained. A simple link b...

    Authors: Mustapha Raïssouli and József Sándor
    Citation: Journal of Inequalities and Applications 2013 2013:89
  14. In this paper, a monotone variational inequality, a system of equilibrium problems, and nonexpansive mappings are investigated based on an iterative algorithm. Weak convergence theorems of common solutions are...

    Authors: Peng Cheng and Anshen Zhang
    Citation: Journal of Inequalities and Applications 2013 2013:87
  15. Support vector machines, one of the non-parametric controlled classifiers, is a two-class classification method introduced in the context of statistical learning theory and structural risk minimization. Suppor...

    Authors: Ersoy Öz and Hüseyin Kaya
    Citation: Journal of Inequalities and Applications 2013 2013:85
  16. In this note we provide simple and short proofs for a class of Hardy-Rellich type inequalities with the best constant, which extends some recent results.

    Authors: Yanmei Di, Liya Jiang, Shoufeng Shen and Yongyang Jin
    Citation: Journal of Inequalities and Applications 2013 2013:84
  17. In this paper, we discuss the strong convergence of the viscosity approximation method in Hilbert spaces relatively to the computation of fixed points of an operator in ϱ-strictly pseudononspreading. Under suitab...

    Authors: Bin-Chao Deng, Tong Chen and Zhi-Fang Li
    Citation: Journal of Inequalities and Applications 2013 2013:80
  18. In this paper, we establish some strong convergence theorems of the modified Ishikawa and Mann iterations with errors of uniformly L-Lipschitzian asymptotically pseudocontractive mappings in real Banach spaces. O...

    Authors: Zhiqun Xue and Guiwen Lv
    Citation: Journal of Inequalities and Applications 2013 2013:79
  19. A Korpelevich-like algorithm has been introduced for solving a generalized variational inequality. It is shown that the presented algorithm converges strongly to a special solution of the generalized variation...

    Authors: Zhitao Wu, Yonghong Yao, Yeong-Cheng Liou and Hong-Jun Li
    Citation: Journal of Inequalities and Applications 2013 2013:76

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