Ulam’s Type Stability and Fixed Points Methods 2016

Iterative Methods for Equilibrium Problems, Variational Inequalities and Fixed Points

Coincidence Points and Common Fixed Points for Expansive Type Mappings in $b$-Metric Spaces

The main purpose of this paper is to obtain sufficient conditions for existence of points of coincidence and common fixed points for a pair of self mappings satisfying some expansive type conditions in $b$-metric spaces. Finally, we investigate that the equivalence of one of these results in the context of cone $b$-metric spaces cannot be obtained by the techniques using scalarization function....

Fixed Points, Stability, and Harmless Perturbations

Much has been written about systems in which each constant is a solution and each solution approaches a constant. It is a small step to conjecture that functions promoting such behavior constitute harmless perturbations of stable equations. That idea leads to a new way of avoiding delay terms in a functional-differential equation. In this paper we use fixed point theory to show that such a conj...

Fixed Points and Stability of Density Evolution∗

Density evolution is a dynamic system in a space of probability distributions representing the progress of iterative decoders in the infinite block length limit. In this paper we establish some basic results concering this process. In particular we show that the decoding threshold is equivalent to to appearance of non-trivial fixed point solutions to the density evolution equations. In the case...

Stability of Vertex Fixed Points and Applications

In the Infinite Population Simple Genetic Algorithm, stability of fixed points is considered when mutation is zero. The analysis is based on the spectrum of the differential of the mapping which defines the transition from one generation to the next. Based on a simple formula for this spectrum, fully nondeceptive functions having exponentially many non-optimal fixed points are constructed.