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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 propose a new model for segmentation of both gray-scale and color images. This model is inspired by the GAC model, the region-scalable fitting model, the weighted bounded variation model and ...

    Authors: Dazhi Zhang, Jiebao Sun, Zhichang Guo and Yanli Zhai

    Citation: Journal of Inequalities and Applications 2013 2013:556

    Content type: Research

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  2. The purpose of this paper is to establish some coupled coincidence point theorems for generalized nonlinear contraction mappings with the mixed g-monotone property in the framework of metric spaces endowed with p...

    Authors: Jong Kyu Kim and Sumit Chandok

    Citation: Fixed Point Theory and Applications 2013 2013:307

    Content type: Research

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  3. We investigate multiple solutions for the Hamiltonian system with singular potential nonlinearity and periodic condition. We get a theorem which shows the existence of the nontrivial weak periodic solution for...

    Authors: Tacksun Jung and Q-Heung Choi

    Citation: Journal of Inequalities and Applications 2013 2013:545

    Content type: Research

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  4. In this paper, we develop a multi-model adaptive control strategy to be applied on delay compensation schemes for stable/unstable LTI MIMO systems. The only requirement is that the delay should be bounded and ...

    Authors: J Herrera, A Ibeas, M de la Sen, S Alcántara and S Alonso-Quesada

    Citation: Advances in Difference Equations 2013 2013:331

    Content type: Research

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  5. We study oscillatory behavior of a class of second-order differential equations with damping under the assumptions that allow applications to retarded and advanced differential equations. New theorems extend a...

    Authors: Xiaoling Fu, Tongxing Li and Chenghui Zhang

    Citation: Advances in Difference Equations 2013 2013:326

    Content type: Research

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  6. A Newton-Kantorovich convergence theorem of a new modified Halley’s method family is established in a Banach space to solve nonlinear operator equations. We also present the main results to reveal the competen...

    Authors: Rongfei Lin, Yueqing Zhao, Zdeněk Šmarda, Qingbiao Wu and Yasir Khan

    Citation: Advances in Difference Equations 2013 2013:325

    Content type: Research

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  7. In this paper, we consider a Lagrange-Galerkin scheme to approximate a two-dimensional fluid-structure interaction problem. The equations of the system are the Navier-Stokes equations in the fluid part, couple...

    Authors: Jorge San Martín, Jean-François Scheid and Loredana Smaranda

    Citation: Boundary Value Problems 2013 2013:246

    Content type: Research

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  8. In this paper, let X be a uniformly convex Banach space which either is uniformly smooth or has a weakly continuous duality map. We introduce and consider three-step Mann iterations for finding a common solution ...

    Authors: Lu-Chuan Ceng and Ching-Feng Wen

    Citation: Journal of Inequalities and Applications 2013 2013:539

    Content type: Research

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  9. This work develops Feynman-Kac formulae for switching diffusion processes. It first recalls the basic notion of a switching diffusion. Then the desired stochastic representations are obtained for boundary valu...

    Authors: Nicholas A Baran, George Yin and Chao Zhu

    Citation: Advances in Difference Equations 2013 2013:315

    Content type: Research

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  10. The purpose of this paper is to present an iterative method for finding a common element of the set of solutions for an equilibrium problem and the set of common fixed points for a countably infinite family of...

    Authors: Jong Kyu Kim and Nguyen Buong

    Citation: Fixed Point Theory and Applications 2013 2013:286

    Content type: Research

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  11. We show that the fixed point methods allow to investigate Ulam’s type stability of additivity quite efficiently and precisely. Using them we generalize, extend and complement some earlier classical results con...

    Authors: Janusz Brzdęk

    Citation: Fixed Point Theory and Applications 2013 2013:285

    Content type: Research

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  12. In this paper, we establish a strong convergence theorem for hierarchical problems, an equivalent relation between a multiple sets split feasibility problem and a fixed point problem. As applications of our re...

    Authors: Zenn-Tsun Yu and Lai-Jiu Lin

    Citation: Fixed Point Theory and Applications 2013 2013:283

    Content type: Research

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  13. We first introduce a new concept of b-dislocated metric space as a generalization of dislocated metric space and analyze different properties of such spaces. A fundamental result for the convergence of sequences ...

    Authors: Nawab Hussain, Jamal Rezaei Roshan, Vahid Parvaneh and Mujahid Abbas

    Citation: Journal of Inequalities and Applications 2013 2013:486

    Content type: Research

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  14. Very recently, some authors discovered that some fixed point results in thecontext of a G-metric space can be derived from the fixed point resultsin the context of a quasi-metric space and hence the usual metric ...

    Authors: Leila Gholizadeh and Erdal Karapınar

    Citation: Journal of Inequalities and Applications 2013 2013:457

    Content type: Research

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  15. Very recently, Samet et al. and Jleli and Samet reported that most of fixed point results in the context of G-metric space, defined by Sims and Zead, can be derived from the usual fixed point theorems on the usua...

    Authors: Mehdi Asadi, Erdal Karapınar and Peyman Salimi

    Citation: Journal of Inequalities and Applications 2013 2013:454

    Content type: Research

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  16. In this paper, we introduce the concept of generalized convex contractions and give some results about approximate fixed points of the contractions on metric spaces. By providing some examples, we show that ou...

    Authors: Mehdi Amir Miandaragh, Mihai Postolache and Shahram Rezapour

    Citation: Fixed Point Theory and Applications 2013 2013:255

    Content type: Research

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  17. Wardowski (Fixed Point Theory Appl. 2012:94, 2012, doi:10.1186/1687-1812-2012-94) introduced a new type of contraction called F-contraction and proved a fixed point result in complete metric spaces, which in turn...

    Authors: Mujahid Abbas, Basit Ali and Salvador Romaguera

    Citation: Fixed Point Theory and Applications 2013 2013:243

    Content type: Research

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  18. By applying an iterative technique, a necessary and sufficient condition is obtained for the existence of the unique solution of nonlinear fractional differential equations involving two Riemann-Liouville deri...

    Authors: Guotao Wang, Sanyang Liu, Dumitru Baleanu and Lihong Zhang

    Citation: Advances in Difference Equations 2013 2013:280

    Content type: Research

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