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Recent Advances in Operator Equations, Boundary Value Problems, Fixed Point Theory and Applications, and General Inequalities

This thematic series originates from the International Conference on the Theory, Methods and Applications of Nonlinear Equations which was held in December 2012 in Kingsville, TX-USA and was organized by the Department of Mathematics at the Texas A&M University-Kingsville.

Edited by: Ravi Agarwal, Shusen Ding, Billur Kaymakcalan, Dumitru Motreanu and Anthony To Ming Lau

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  1. In this paper, the separability properties of elliptic convolution operator equations are investigated. It is obtained that the corresponding convolution-elliptic operator is positive and also is a generator o...

    Authors: Veli B Shakhmurov and Ismail Ekincioglu

    Citation: Boundary Value Problems 2013 2013:211

    Content type: Research

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  2. The purpose of this paper is to establish the general theory of the direct methods to functionals I defined on the Grassmann algebra employing the classical approaches. In this paper, various notions of convexity...

    Authors: Tingting Wang, Gejun Bao and Guanfeng Li

    Citation: Journal of Inequalities and Applications 2013 2013:407

    Content type: Research

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  3. We first introduce the concept of b-metric-like space which generalizes the notions of partial metric space, metric-like space and b-metric space. Then we establish the existence and uniqueness of fixed points in...

    Authors: Mohammed Ali Alghamdi, Nawab Hussain and Peyman Salimi

    Citation: Journal of Inequalities and Applications 2013 2013:402

    Content type: Research

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  4. We obtain fixed point theorems for cyclic self-maps on complete metric spaces involving Meir-Keeler and weaker Meir-Keeler functions, respectively. In this way, we extend several well-known fixed point theorem...

    Authors: Hemant Kumar Nashine and Salvador Romaguera

    Citation: Fixed Point Theory and Applications 2013 2013:224

    Content type: Research

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  5. This paper investigates the existence and potential uniqueness of equilibrium points and some stability, instability and oscillatory properties of a discrete nonlinear epidemic model, which generalises previou...

    Authors: Manuel De la Sen and Santiago Alonso-Quesada

    Citation: Advances in Difference Equations 2013 2013:234

    Content type: Research

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  6. In this paper we develop the spectral theory for discrete symplectic systems with general jointly varying endpoints. This theory includes a characterization of the eigenvalues, construction of the M-lambda functi...

    Authors: Roman Šimon Hilscher and Petr Zemánek

    Citation: Advances in Difference Equations 2013 2013:232

    Content type: Research

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  7. Saadati et al. (Math. Comput. Model. 52:797-801, 2010) introduced the concept of Ω-distance in generalized metric spaces and studied some nice fixed point theorems. Very recently, Jleli and Samet (Fixed Point The...

    Authors: Wasfi Shatanawi and Ariana Pitea

    Citation: Fixed Point Theory and Applications 2013 2013:208

    Content type: Research

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  8. The Harary index is defined as the sum of reciprocals of distances between all pairs of vertices of a connected graph. In this paper, expressions for the Harary indices of the join, corona product, Cartesian p...

    Authors: Kinkar C Das, Kexiang Xu, Ismail Naci Cangul, Ahmet Sinan Cevik and Ante Graovac

    Citation: Journal of Inequalities and Applications 2013 2013:339

    Content type: Research

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  9. The main purpose of this paper is to define and investigate the Kirchhoff matrix, a new Kirchhoff index, the Kirchhoff energy and the Kirchhoff Estrada index of a graph. In addition, we establish upper and low...

    Authors: Ayse Dilek Maden, Ahmet Sinan Cevik, Ismail Naci Cangul and Kinkar C Das

    Citation: Journal of Inequalities and Applications 2013 2013:337

    Content type: Research

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    The Retraction Note to this article has been published in Journal of Inequalities and Applications 2014 2014:424

  10. Very recently, Caballero, Harjani and Sadarangani (Fixed Point Theory Appl. 2012:231, 2012) observed some best proximity point results for Geraghty contractions by using the P-property. In this paper, we introduc...

    Authors: Erdal Karapınar

    Citation: Fixed Point Theory and Applications 2013 2013:200

    Content type: Research

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  11. In this paper, we extend Hartley and Hartley-Hilbert transformations (HT and HHT, respectively) to a certain space of tempered distributions. We then establish a certain convolution theorem for the HHT. The convo...

    Authors: Shrideh Khalaf Qasem Al-Omari and Adem Kılıçman

    Citation: Advances in Difference Equations 2013 2013:222

    Content type: Research

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  12. In this paper, we study a periodic p-Laplacian equation with nonlocal terms and Neumann boundary conditions. We establish the existence of time periodic solutions of the p-Laplacian-Neumann problem by the theory ...

    Authors: Raad Awad Hameed, Jiebao Sun and Boying Wu

    Citation: Boundary Value Problems 2013 2013:171

    Content type: Research

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  13. In this paper, we propose and analyze some iterative algorithms by hybrid viscosity approximation methods for solving a general system of variational inequalities and a common fixed point problem of an infinit...

    Authors: Lu-Chuan Ceng, Nawab Hussain, Abdul Latif and Jen-Chih Yao

    Citation: Journal of Inequalities and Applications 2013 2013:334

    Content type: Research

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  14. The purpose of this paper is to present a new modified Halpern-Mann type iterative scheme by using the generalized f-projection operator for finding a common element in the set of zeroes of a system of maximal mo...

    Authors: Siwaporn Saewan, Preedaporn Kanjanasamranwong, Poom Kumam and Yeol Je Cho

    Citation: Fixed Point Theory and Applications 2013 2013:199

    Content type: Research

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  15. In this paper, we present some coupled coincidence point results for mixed g-monotone mappings in partially ordered complete metric spaces involving altering distance functions. Moreover, we present an example to...

    Authors: Saud M Alsulami

    Citation: Fixed Point Theory and Applications 2013 2013:194

    Content type: Research

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  16. In this paper, we investigate the existence results for a class of abstract fractional neutral integro-differential evolution systems involving the Caputo derivative in Banach spaces. The main techniques rely ...

    Authors: Chokkalingam Ravichandran and Dumitru Baleanu

    Citation: Advances in Difference Equations 2013 2013:215

    Content type: Research

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  17. In this paper, we generalized the notion of proximal contractions of the first and second kinds by using Geraghty’s theorem and establish best proximity point theorems for proximal contractions. Our results im...

    Authors: Chirasak Mongkolkeha, Yeol Je Cho and Poom Kumam

    Citation: Fixed Point Theory and Applications 2013 2013:180

    Content type: Research

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  18. The purpose of this paper is by using Maingé’s approach to study the existence and approximation problem of solutions for a class of hierarchical variational inclusion problems in the setting of Hilbert spaces...

    Authors: Shih-sen Chang, Jong Kyu Kim, HW Joseph Lee and Chi Kin Chun

    Citation: Fixed Point Theory and Applications 2013 2013:179

    Content type: Research

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