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Proceedings of the International Congress in Honour of Professor Ravi P. Agarwal

Professor Ravi P. Agarwal has made significant contributions to the development of nonlinear analysis and applications to related topics, especially nonlinear functional analysis, fixed point theory, variational inequality, general equilibrium theory, game theory and so on with more than 1200 research papers published and a number of books widely cited by scholars worldwide during the last 50+ years. He has also been serving as editor for many prestigious international journals. We celebrate his great achievements in the development of nonlinear analysis and applications to related topics in this cross-journal article collection.

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  1. By combining Korpelevich’s extragradient method, the viscosity approximation method, the hybrid steepest-descent method, Mann’s iteration method, and the gradient-projection method with regularization, a hybri...

    Authors: Lu-Chuan Ceng, Chin-Tzong Pang and Ching-Feng Wen
    Citation: Journal of Inequalities and Applications 2014 2014:492
  2. The purpose of this paper is to investigate the existence and iteration of symmetric positive solutions for integral boundary-value problems. An existence result of positive, concave and symmetric solutions an...

    Authors: Tugba S Cerdik and Nuket A Hamal
    Citation: Journal of Inequalities and Applications 2014 2014:463
  3. We define some finite sums which are associated with the Dedekind type sums and Hardy-Berndt type sums. The aim of this paper is to prove a reciprocity law for one of these sums. Therefore, we define a new fun...

    Authors: Elif Cetin, Yilmaz Simsek and Ismail Naci Cangul
    Citation: Advances in Difference Equations 2014 2014:283
  4. We establish a new fixed point theorem in the setting of Branciari metric spaces. The obtained result is an extension of the recent fixed point theorem established in Jleli and Samet (J. Inequal. Appl. 2014:38...

    Authors: Mohamed Jleli, Erdal Karapınar and Bessem Samet
    Citation: Journal of Inequalities and Applications 2014 2014:439
  5. In the present paper we obtain generalized sufficient conditions for the starlikeness and convexity of some normalized analytic functions; the results extend those recently obtained in the work of Uyanik and O...

    Authors: Pranay Goswami, Teodor Bulboacă and Badr S Alkahtani
    Citation: Journal of Inequalities and Applications 2014 2014:431
  6. In this paper, we obtain sufficient conditions for the lower semicontinuity of an approximate solution mapping for a parametric generalized vector equilibrium problem involving set-valued mappings. By using a ...

    Authors: Rabian Wangkeeree, Panatda Boonman and Pakkapon Preechasilp
    Citation: Journal of Inequalities and Applications 2014 2014:421
  7. In this paper, we extend the deterministic single-group MSIRS epidemic model to a multi-group model, and we also extend the deterministic multi-group framework to a stochastic one and formulate it as a stochas...

    Authors: Zhigang Wang, Xiaoming Fan, Fuquan Jiang and Qiang Li
    Citation: Advances in Difference Equations 2014 2014:270
  8. In this paper, by considering Barnes’ multiple Bernoulli polynomials as well as generalized Barnes’ multiple Frobenius-Euler polynomials, we define and investigate the mixed-type polynomials of these polynomia...

    Authors: Dae San Kim, Taekyun Kim, Takao Komatsu and Hyuck In Kwon
    Citation: Advances in Difference Equations 2014 2014:238
  9. In this paper, we consider the poly-Bernoulli numbers and polynomials of the second kind and presents new and explicit formulas for calculating the poly-Bernoulli numbers of the second kind and the Stirling nu...

    Authors: Taekyun Kim, Hyuck In Kwon, Sang Hun Lee and Jong Jin Seo
    Citation: Advances in Difference Equations 2014 2014:219