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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. Research

    Splitting-midpoint method for zeros of the sum of accretive operator and μ-inversely strongly accretive operator in a q-uniformly smooth Banach space and its applications

    Combining the implicit midpoint method and the splitting method, we present a new iterative algorithm with errors to solve the problems of finding zeros of the sum of m-accretive operators and μ-inversely strongl...

    Li Wei and Aifen Shi

    Journal of Inequalities and Applications 2015 2015:183

    Published on: 9 June 2015

  2. Research

    Halpern type iteration with multiple anchor points in a Hadamard space

    In this paper, we consider an approximation sequence of a common fixed point generated by Halpern type iteration with a finite family of nonexpansive mappings in a Hadamard space. We propose another style of H...

    Yasunori Kimura and Hideyuki Wada

    Journal of Inequalities and Applications 2015 2015:182

    Published on: 6 June 2015

  3. Research

    Constantin’s inequality for nabla and diamond-alpha derivative

    Calculus for dynamic equations on time scales, which offers a unification of discrete and continuous systems, is a recently developed theory. Our aim is to investigate Constantin’s inequality on time scales th...

    Ayşe Feza Güvenilir, Billur Kaymakçalan and Neslihan Nesliye Pelen

    Journal of Inequalities and Applications 2015 2015:167

    Published on: 28 May 2015

  4. Research

    Chlodowsky-type q-Bernstein-Stancu-Kantorovich operators

    In this paper, we introduce Chlodowsky-type q-Bernstein-Stancu-Kantorovich operators on the unbounded domain. We should note that this generalization includes various kinds of operators which have not been introd...

    Tuba Vedi and Mehmet Ali Özarslan

    Journal of Inequalities and Applications 2015 2015:91

    Published on: 7 March 2015

  5. Research

    A study on pointwise approximation by double singular integral operators

    In the present work we prove the pointwise convergence and the rate of pointwise convergence for a family of singular integral operators with radial kernel in two-dimensional setting in the following form:

    Gumrah Uysal, Mine Menekse Yilmaz and Ertan Ibikli

    Journal of Inequalities and Applications 2015 2015:94

    Published on: 7 March 2015

  6. Research

    On Bernstein type polynomials and their applications

    In this study we examine generating functions for the Bernstein type polynomials given in (Simsek in Fixed Point Theory Appl. 2013:80, 2013). We expand these generating functions using the parameters u and v. By ...

    Yilmaz Simsek and Melih Gunay

    Advances in Difference Equations 2015 2015:79

    Published on: 5 March 2015

  7. Research Article

    Projectile motion via Riemann-Liouville calculus

    We present an analysis of projectile motion in view of fractional calculus. We obtain the solution for the problem using the Riemann-Liouville derivative, and then we compute some features of projectile motion...

    Bashir Ahmad, Hanan Batarfi, Juan J Nieto, Óscar Otero-Zarraquiños and Wafa Shammakh

    Advances in Difference Equations 2015 2015:63

    Published on: 26 February 2015

  8. Research

    On a generalization of statistical cluster and limit points

    This paper is concerned with the notions of statistical limit and cluster points defined by Fridy. Following the concept of a Δ-density for a subset of a time scale, we established a generalization of these no...

    Mustafa Seyyit Seyyidog̃lu and Neşet Özkan Tan

    Advances in Difference Equations 2015 2015:55

    Published on: 24 February 2015

  9. Research

    Curvature of curves parameterized by a time scale

    Curvature is a fundamental characteristic of curves in differential geometry, as well as in discrete geometry. In this paper we present time scales analogy of the curvature defined by the concept of symmetric ...

    Sibel Paşalı Atmaca and Ömer Akgüller

    Advances in Difference Equations 2015 2015:49

    Published on: 20 February 2015

  10. Research

    Some remarks about the existence of coupled g-coincidence points

    Very recently, in a series of subsequent papers, Nan and Charoensawan introduced the notion of g-coincidence point of two mappings in different settings (metric spaces and G-metric spaces) and proved some theorem...

    İnci M Erhan, Antonio-Francisco Roldán-López-de-Hierro and Naseer Shahzad

    Journal of Inequalities and Applications 2015 2015:52

    Published on: 12 February 2015

  11. Research

    Existence of chaos for a simple delay difference equation

    In this paper, we study the existence of chaos for a simple delay difference equation. By using the snap-back repeller theory, we prove that the system is chaotic in the sense of both Devaney and Li-Yorke when...

    Zongcheng Li and Xiaoying Zhu

    Advances in Difference Equations 2015 2015:39

    Published on: 11 February 2015

  12. Research

    A sharp two-sided inequality for bounding the Wallis ratio

    In this article we establish a sharp two-sided inequality for bounding the Wallis ratio. Some best constants for the estimation of the Wallis ratio are obtained. An asymptotic formula for the Wallis ratio is a...

    Senlin Guo, Qi Feng, Ya-Qing Bi and Qiu-Ming Luo

    Journal of Inequalities and Applications 2015 2015:43

    Published on: 4 February 2015

  13. Research

    On the theory of necessary optimality conditions in discrete systems

    In the present paper, a discrete optimization problem with rather general input data (without assumptions of convexity and smoothness) is considered. Taking into account the specific character of the discrete ...

    Misir J Mardanov, Samin T Malik and Nazim I Mahmudov

    Advances in Difference Equations 2015 2015:28

    Published on: 31 January 2015

  14. Research

    On solving some functional equations

    Using the notion of composita and the Lagrange inversion theorem, we present techniques for solving the following functional equation http://static-content.springer.com/image/art%3A10.1186%2Fs13662-014-0347-9/13662_2014_347_Article_IEq1.gif

    Dmitry V Kruchinin

    Advances in Difference Equations 2015 2015:17

    Published on: 30 January 2015

  15. Research

    The threshold of stochastic SIS epidemic model with saturated incidence rate

    This paper considers a stochastic SIS model with saturated incidence rate. We investigate the existence and uniqueness of the positive solution to the system, and we show the condition for the infectious indiv...

    Qixing Han, Daqing Jiang, Shan Lin and Chengjun Yuan

    Advances in Difference Equations 2015 2015:22

    Published on: 30 January 2015

  16. Research

    An efficient numerical scheme based on the shifted orthonormal Jacobi polynomials for solving fractional optimal control problems

    In this article, we introduce a numerical technique for solving a general form of the fractional optimal control problem. Fractional derivatives are described in the Caputo sense. Using the properties of the s...

    Eid H Doha, Ali H Bhrawy, Dumitru Baleanu, Samer S Ezz-Eldien and Ramy M Hafez

    Advances in Difference Equations 2015 2015:15

    Published on: 30 January 2015

  17. Research

    A note on fixed point results in complex-valued metric spaces

    In this paper, we prove that the fixed point results in the context of complex-valued metric spaces can be obtained as a consequence of corresponding existing results in the literature in the setting of associ...

    Saleh A Al-Mezel, Hamed H Alsulami, Erdal Karapınar and Farshid Khojasteh

    Journal of Inequalities and Applications 2015 2015:33

    Published on: 28 January 2015

  18. Research

    On a q-analog of some numbers and polynomials

    In this paper, we introduce new q-analogs of the Changhee numbers and polynomials of the first kind and of the second kind. We also derive some new interesting identities related to the Stirling numbers of the fi...

    Serkan Araci, Erkan Ağyüz and Mehmet Acikgoz

    Journal of Inequalities and Applications 2015 2015:19

    Published on: 20 January 2015

  19. Research

    Some dynamic integral inequalities with mixed nonlinearities on time scales

    The objective of this paper is to study some dynamic integral inequalities on time scales, which provide explicit bounds on unknown functions. Our results include many known ones in the literature and can be u...

    Yazhou Tian, Yuanli Cai, Lianzhong Li and Tongxing Li

    Journal of Inequalities and Applications 2015 2015:12

    Published on: 13 January 2015

  20. Research

    On products of multivalent close-to-star functions

    In the present paper we define a class of products of multivalent close-to-star functions and determine the set of pairs http://static-content.springer.com/image/art%3A10.1186%2F1029-242X-2015-5/MediaObjects/13660_2014_1516_IEq1_HTML.gif ,

    Muhammad Arif, Jacek Dziok, Mohsan Raza and Janusz Sokół

    Journal of Inequalities and Applications 2015 2015:5

    Published on: 6 January 2015

  21. Research

    On new generalizations of Smarzewski’s fixed point theorem

    In this work, we prove some new generalizations of Smarzewski’s fixed point theorem and some new fixed point theorems which are original and quite different from the well-known results in the literature.

    Wei-Shih Du

    Journal of Inequalities and Applications 2014 2014:493

    Published on: 12 December 2014

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