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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. Research

    A new chaotic behavior of a general model of the Henon map

    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...

    Ahmed M. A. El-Sayed, Zaki F. E. El-Raheem and Sanaa M. Salman

    Advances in Difference Equations 2014 2014:107

    Published on: 8 April 2014

  2. Research

    Nabla discrete fractional Grüss type inequality

    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...

    A Feza Güvenilir, Billur Kaymakçalan, Allan C Peterson and Kenan Taş

    Journal of Inequalities and Applications 2014 2014:86

    Published on: 20 February 2014

  3. Research

    Multipled fixed point theorems in cone metric spaces

    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...

    Hallowed Olaoluwa and Jonhson Olaleru

    Fixed Point Theory and Applications 2014 2014:43

    Published on: 18 February 2014

  4. Research

    Nonlinear biharmonic boundary value problem

    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...

    Tacksun Jung and Q-Heung Choi

    Boundary Value Problems 2014 2014:30

    Published on: 4 February 2014

  5. Research

    Best proximity point results for modified Suzuki α-ψ-proximal contractions

    In this paper, we introduce a modified Suzuki α-ψ-proximal contraction. Then we establish certain best proximity point theorems for such proximal contractions in metric spaces. As an application, we deduce best p...

    Nawab Hussain, Abdul Latif and Peyman Salimi

    Fixed Point Theory and Applications 2014 2014:10

    Published on: 9 January 2014

  6. Research

    Existence of nontrivial solutions for p-Kirchhoff type equations

    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,...

    Chunhan Liu, Jianguo Wang and Qingling Gao

    Boundary Value Problems 2013 2013:279

    Published on: 30 December 2013

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