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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 we are concerned with a general form of the Henon map as a retarded functional equation. The existence of a unique solution is proved. The continuous dependence of the solution and the local stab...

    Authors: Ahmed M. A. El-Sayed, Zaki F. E. El-Raheem and Sanaa M. Salman
    Citation: Advances in Difference Equations 2014 2014:107
  2. Properties of the discrete fractional calculus in the sense of a backward difference are introduced and developed. Here, we prove a more general version of the Grüss type inequality for the nabla fractional ca...

    Authors: A Feza Güvenilir, Billur Kaymakçalan, Allan C Peterson and Kenan Taş
    Citation: Journal of Inequalities and Applications 2014 2014:86
  3. In this paper, the concept of common multipled fixed points of w-compatible nonlinear contractive maps in cone metric spaces, which are generalizations of common coupled fixed points, is introduced. A new concept...

    Authors: Hallowed Olaoluwa and Jonhson Olaleru
    Citation: Fixed Point Theory and Applications 2014 2014:43
  4. We consider the nonlinear biharmonic equation with variable coefficient and polynomial growth nonlinearity and Dirichlet boundary condition. We get two theorems. One theorem says that there exists at least one...

    Authors: Tacksun Jung and Q-Heung Choi
    Citation: Boundary Value Problems 2014 2014:30
  5. In this paper, a new existence result is obtained for a fractional multivalued problem with fractional integral boundary conditions by applying a (Krasnoselskii type) fixed-point result for multivalued maps du...

    Authors: Ahmed Alsaedi, Sotiris K Ntouyas, Bashir Ahmad and Hamed H Alsulami
    Citation: Boundary Value Problems 2014 2014:25
  6. In this paper, the linking theorem and the mountain pass theorem are used to show the existence of nontrivial solutions for the p-Kirchhoff equations without assuming Ambrosetti-Rabinowitz type growth conditions,...

    Authors: Chunhan Liu, Jianguo Wang and Qingling Gao
    Citation: Boundary Value Problems 2013 2013:279
  7. This paper is concerned with the Klein-Gordon equation coupled with the Maxwell equation in the rotationally symmetric bounded domains when a non-homogeneous term breaks the symmetry of the associated function...

    Authors: Yuhu Wu and Bin Ge
    Citation: Journal of Inequalities and Applications 2013 2013:583
  8. In this paper, we study the existence of solutions for fractional differential equations of arbitrary order with multi-point multi-term Riemann-Liouville type integral boundary conditions involving two indices...

    Authors: Ahmed Alsaedi, Sotiris K Ntouyas, Ravi P Agarwal and Bashir Ahmad
    Citation: Advances in Difference Equations 2013 2013:369
  9. In this manuscript, by using the fixed point theorems, the existence and the uniqueness of solutions for multi-term nonlinear fractional integro-differential equations are reported. Two examples are presented ...

    Authors: Dumitru Baleanu, Sayyedeh Zahra Nazemi and Shahram Rezapour
    Citation: Advances in Difference Equations 2013 2013:368
  10. This paper presents a vaccination strategy for fighting against the propagation of epidemic diseases. The disease propagation is described by a SIRS (susceptible plus infected plus recovered populations) epide...

    Authors: Santiago Alonso-Quesada, Manuel De la Sen, Asier Ibeas and Raúl Nistal
    Citation: Advances in Difference Equations 2013 2013:364
  11. In this paper, we present some properties of generalized proximity operators andpropose an iterative method of approximating solutions for a class ofgeneralized variational inequalities and show its convergenc...

    Authors: Wei-Bo Guan
    Citation: Journal of Inequalities and Applications 2013 2013:574
  12. In this paper we investigate the elastography inverse problem of identifying cancerous tumors within the human body. From a mathematical standpoint, the elastography inverse problem consists of identifying the...

    Authors: Nathan D Cahill, Baasansuren Jadamba, Akhtar A Khan, Miguel Sama and Brian C Winkler
    Citation: Boundary Value Problems 2013 2013:263
  13. The aim of the present paper is to introduce a Kantorovich-type modification ofthe q-discrete beta operators and to investigate their statistical andweighted statistical approximation properties. Rates of statist...

    Authors: Vishnu Narayan Mishra, Kejal Khatri and Lakshmi Narayan Mishra
    Citation: Advances in Difference Equations 2013 2013:345
  14. In this paper, by using the fixed-point theorem in the cone of strict-set-contraction operators, we study a class of higher-order boundary value problems of nonlinear fractional differential equation in a Bana...

    Authors: Yulin Zhao, Lianjiao Yang and Pingge Chen
    Citation: Advances in Difference Equations 2013 2013:344
  15. In this paper, we investigate the sufficient conditions to find a best proximity point for a certain class of non-self mappings. It is well known that optimization problems can be transformed to the problems o...

    Authors: Erdal Karapınar and Wutiphol Sintunavarat
    Citation: Fixed Point Theory and Applications 2013 2013:323
  16. In the literature, various iterative methods have been proposed for finding a common solution of the classical variational inequality problem and a fixed point problem. Research along these lines is performed ...

    Authors: Lu-Chuan Ceng, Sy-Ming Guu and Jen-Chih Yao
    Citation: Fixed Point Theory and Applications 2013 2013:313
  17. In this paper we investigate the existence of a fixed point of multivalued mapson almost p-convex and p-convex subsets of topological vectorspaces. Our results extend and generalize some fixed point theorems on t...

    Authors: Leila Gholizadeh, Erdal Karapınar and Mehdi Roohi
    Citation: Fixed Point Theory and Applications 2013 2013:312
  18. We investigate the number of periodic weak solutions for the wave equation with nonlinearity decaying at the origin. We get a theorem which shows the existence of a bounded weak solution for this problem. We o...

    Authors: Tacksun Jung and Q-Heung Choi
    Citation: Boundary Value Problems 2013 2013:257