This special issue hosts select papers presented in ICAAA2012-Istanbul. This issue is focused on recent trends and new ideas in the area of fixed point theory, its applications and related topics.
Edited by: Vatan Karakaya andYasar Sozen
This special issue hosts select papers presented in ICAAA2012-Istanbul. This issue is focused on recent trends and new ideas in the area of fixed point theory, its applications and related topics.
Edited by: Vatan Karakaya andYasar Sozen
This article aims to deal with a new modified iterative projection method for solving a hierarchical fixed point problem. It is shown that under certain approximate assumptions of the operators and parameters,...
Citation: Fixed Point Theory and Applications 2013 2013:121
In this paper, we prove that the convergence of a new iteration and S-iteration can be used to approximate the fixed points of contractive-like operators. We also prove some data dependence results for these n...
Citation: Fixed Point Theory and Applications 2013 2013:76
Citation: Fixed Point Theory and Applications 2013 2013:54
In this article, the new Ishikawa iteration method is presented to find the approximate solution of an ordinary differential equation with an initial condition. Additionally, some numerical examples with initi...
Citation: Fixed Point Theory and Applications 2013 2013:52
Citation: Fixed Point Theory and Applications 2013 2013:34
In this paper, we introduce the concepts of pointwise and uniform statistical convergence of order α for sequences of real-valued functions. Furthermore, we give the concept of an α-statistically Cauchy sequence ...
Citation: Fixed Point Theory and Applications 2013 2013:33
In this paper the variational iteration method is used to solve the fractional differential equations with a fuzzy initial condition. We consider a differential equation of fractional order with uncertainty an...
Citation: Fixed Point Theory and Applications 2013 2013:13
In this paper, we give strong convergence theorems for the modified S-iteration process of asymptotically quasi-nonexpansive mappings on a
Citation: Fixed Point Theory and Applications 2013 2013:12
In this paper, maximal regularity properties for linear and nonlinear elliptic differential-operator equations with VMO (vanishing mean oscillation) coefficients are studied. For linear case, the uniform separabi...
Citation: Fixed Point Theory and Applications 2013 2013:6