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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. Content type: Research

    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...

    Authors: Li Wei and Aifen Shi

    Citation: Journal of Inequalities and Applications 2015 2015:183

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  2. Content type: Research

    In this paper, we are mainly concerned with oscillatory behavior of solutions for a class of higher odd order nonlinear neutral difference equations with continuous variable. By converting the above difference...

    Authors: Shuhui Wu, Pargat Singh Calay and Zhanyuan Hou

    Citation: Advances in Difference Equations 2015 2015:166

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  3. Content type: Research

    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...

    Authors: Ayşe Feza Güvenilir, Billur Kaymakçalan and Neslihan Nesliye Pelen

    Citation: Journal of Inequalities and Applications 2015 2015:167

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  4. Content type: Research

    The intent of this manuscript is to establish some common fixed point theorems in a complete metric space under weak contraction condition for two pairs of discontinuous weak compatible maps. The results prove...

    Authors: Penumarthy Parvateesam Murthy, Kenan Tas and Uma Devi Patel

    Citation: Journal of Inequalities and Applications 2015 2015:139

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  5. Content type: Research

    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...

    Authors: Tuba Vedi and Mehmet Ali Özarslan

    Citation: Journal of Inequalities and Applications 2015 2015:91

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  6. Content type: Research

    We introduce α-admissible Meir-Keller and generalized α-admissible Meir-Keller contractions on quasi-metric spaces and discuss the existence of fixed points of such contractions. We apply our results to G-metric ...

    Authors: Hamed H Alsulami, Selma Gülyaz and İnci M Erhan

    Citation: Journal of Inequalities and Applications 2015 2015:84

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  7. Content type: Research

    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 ...

    Authors: Yilmaz Simsek and Melih Gunay

    Citation: Advances in Difference Equations 2015 2015:79

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  8. Content type: Research

    In this paper we establish Picone-type inequalities for a pair of a damped linear elliptic equation and a forced nonlinear elliptic equation with damped term and give some Sturm comparison theorems via the Pic...

    Authors: Sinem Şahiner, Emine Mısırlı and Aydın Tiryaki

    Citation: Journal of Inequalities and Applications 2015 2015:77

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  9. Content type: Research

    In this paper, we discuss an approximation of the first and pure second order derivatives for the solution of the Dirichlet problem on a rectangular domain. The boundary values on the sides of the rectangle ar...

    Authors: Adiguzel A Dosiyev and Hamid MM Sadeghi

    Citation: Advances in Difference Equations 2015 2015:67

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  10. Content type: Research Article

    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...

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

    Citation: Advances in Difference Equations 2015 2015:63

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  11. Content type: Research

    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...

    Authors: Mustafa Seyyit Seyyidog̃lu and Neşet Özkan Tan

    Citation: Advances in Difference Equations 2015 2015:55

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  12. Content type: Research

    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 ...

    Authors: Sibel Paşalı Atmaca and Ömer Akgüller

    Citation: Advances in Difference Equations 2015 2015:49

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  13. Content type: Research

    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...

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

    Citation: Journal of Inequalities and Applications 2015 2015:52

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  14. Content type: Research

    In this article, we investigate the existence of a solution arising from the following fractional q-difference boundary value problem by using the p-Laplacian operator: http://static-content.springer.com/image/art%3A10.1186%2Fs13662-015-0375-0/13662_2015_375_Article_IEq1.gif ...

    Authors: Serkan Araci, Erdoğan Şen, Mehmet Açikgöz and Hari M Srivastava

    Citation: Advances in Difference Equations 2015 2015:40

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  15. Content type: Research

    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...

    Authors: Zongcheng Li and Xiaoying Zhu

    Citation: Advances in Difference Equations 2015 2015:39

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  16. Content type: Research

    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...

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

    Citation: Journal of Inequalities and Applications 2015 2015:43

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  17. Content type: Research

    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 ...

    Authors: Misir J Mardanov, Samin T Malik and Nazim I Mahmudov

    Citation: Advances in Difference Equations 2015 2015:28

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  18. Content type: Research Article

    This paper investigates a boundary value problem of Caputo type sequential fractional differential equations supplemented with nonlocal Riemann-Liouville fractional integral boundary conditions. Some existence...

    Authors: Ahmed Alsaedi, Sotiris K Ntouyas, Ravi P Agarwal and Bashir Ahmad

    Citation: Advances in Difference Equations 2015 2015:33

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  19. Content type: Research

    By using the Arzela-Ascoli theorem, the Bellman inequality, and a monotone perturbation iterative technique in the presence of lower and upper solutions, we discuss the existence of mild solutions for a class ...

    Authors: Heng-you Lan and Yi-shun Cui

    Citation: Advances in Difference Equations 2015 2015:11

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  20. Content type: Research

    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...

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

    Citation: Advances in Difference Equations 2015 2015:15

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  21. Content type: Research

    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

    Authors: Dmitry V Kruchinin

    Citation: Advances in Difference Equations 2015 2015:17

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  22. Content type: Research

    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...

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

    Citation: Journal of Inequalities and Applications 2015 2015:33

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  23. Content type: Research

    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...

    Authors: Serkan Araci, Erkan Ağyüz and Mehmet Acikgoz

    Citation: Journal of Inequalities and Applications 2015 2015:19

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  24. Content type: Research

    In this paper, we study the inverse problem for a class of abstract ultraparabolic equations which is well known to be ill-posed. We employ some elementary results of semi-group theory to present the formula o...

    Authors: Nguyen Huy Tuan, Vo Anh Khoa, Le Trong Lan and Tran The Hung

    Citation: Journal of Inequalities and Applications 2015 2015:13

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  25. Content type: Research

    In the present paper we define a class of products of multivalent close-to-starfunctions 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 ,

    Authors: Muhammad Arif, Jacek Dziok, Mohsan Raza and Janusz Sokół

    Citation: Journal of Inequalities and Applications 2015 2015:5

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  26. Content type: Research

    In this paper, we study the boundary value problem for a class of nonlinear fractional q-difference equation with mixed nonlinear conditions involving the fractional q-derivative of Riemann-Liouuville type. By me...

    Authors: Xinhui Li, Zhenlai Han, Shurong Sun and Ping Zhao

    Citation: Advances in Difference Equations 2014 2014:326

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  27. Content type: Research

    Saigo and Maeda (Transform Methods and Special Functions, Varna, Bulgaria, pp. 386-400, 1996) introduced and investigated certain generalized fractional integral and derivative operators involving the Appell f...

    Authors: Junesang Choi and Dinesh Kumar

    Citation: Journal of Inequalities and Applications 2014 2014:499

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  28. Content type: Research

    We study oscillatory behavior of a class of second-order forced differential equations with mixed nonlinearities. Some new oscillation theorems are presented that improve and complement those related results g...

    Authors: Yongfang Wang, Tongxing Li and Ethiraju Thandapani

    Citation: Journal of Inequalities and Applications 2014 2014:520

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  29. Content type: Research

    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.

    Authors: Wei-Shih Du

    Citation: Journal of Inequalities and Applications 2014 2014:493

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