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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. The aim of this article is to introduce new hybrid iterative schemes, namely Jungck-Kirk-SP and Jungck-Kirk-CR iterative schemes, and prove convergence and stability results for these iterative schemes using c...

    Authors: Abdullah Alotaibi, Vivek Kumar and Nawab Hussain

    Citation: Fixed Point Theory and Applications 2013 2013:173

    Content type: Research

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  2. In this paper, we obtain exact solutions of two nonlinear evolution equations, namely the modified Kortweg de Vries equation and the higher-order modified Boussinesq equation with damping term. The method empl...

    Authors: Dimpho Millicent Mothibi and Chaudry Masood Khalique

    Citation: Advances in Difference Equations 2013 2013:166

    Content type: Research

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  3. In this paper we establish some coincidence point results for generalized weak contractions with discontinuous control functions. The theorems are proved in metric spaces with a partial order. Our theorems ext...

    Authors: Binayak S Choudhury, Nikhilesh Metiya and Mihai Postolache

    Citation: Fixed Point Theory and Applications 2013 2013:152

    Content type: Research

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  4. The aim of this work is to modify the notions of α-admissible and α-ψ-contractive mappings and establish new fixed point theorems for such mappings in complete metric spaces. Presented theorems provide main resul...

    Authors: Peyman Salimi, Abdul Latif and Nawab Hussain

    Citation: Fixed Point Theory and Applications 2013 2013:151

    Content type: Research

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  5. Using the fixed point method, we prove the Hyers-Ulam stability of an additive-quadratic-cubic-quartic functional equation in matrix normed spaces.

    Authors: Choonkil Park, Jung Rye Lee and Dong Yun Shin

    Citation: Advances in Difference Equations 2013 2013:146

    Content type: Research

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  6. We are describing the stable nonautonomous planar dynamic systems with complex coefficients by using the asymptotic solutions (phase functions) of the characteristic (Riccati) equation. In the case of nonauton...

    Authors: Gro Hovhannisyan

    Citation: Advances in Difference Equations 2013 2013:144

    Content type: Research

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  7. A ‘generalized metric space’ is a semimetric space which does not satisfy the triangle inequality, but which satisfies a weaker assumption called the quadrilateral inequality. After reviewing various related a...

    Authors: William A Kirk and Naseer Shahzad

    Citation: Fixed Point Theory and Applications 2013 2013:129

    Content type: Research

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    The Erratum to this article has been published in Fixed Point Theory and Applications 2014 2014:177

  8. We give new criteria for the existence of nontrivial fixed points on cones assuming some monotonicity of the operator on a suitable conical shell. Moreover, we give an application to the existence of multiple ...

    Authors: Alberto Cabada, José Ángel Cid and Gennaro Infante

    Citation: Fixed Point Theory and Applications 2013 2013:125

    Content type: Research

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  9. Evolution equations arise in many important practical problems. They are frequently stiff, i.e. involves fast, mostly exponentially, decreasing and/or oscillating components. To handle such problems, one must use...

    Authors: Owe Axelsson, Radim Blaheta, Stanislav Sysala and Bashir Ahmad

    Citation: Boundary Value Problems 2013 2013:108

    Content type: Research

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  10. Initial nonlocal boundary value problems for a Navier-Stokes equation with a small parameter is considered. The uniform maximal regularity properties of the corresponding stationary Stokes operator, well-posed...

    Authors: Veli B Shakhmurov

    Citation: Boundary Value Problems 2013 2013:107

    Content type: Research

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