In this paper we prove several random fixed point theorems for measurable closed and nonclosed valued multifunctions satisfying general continuity conditions. Our work extends and sharpens earlier results by Engl, Itoh and Reich. 1. Preliminaries and definitions. The study of random fixed points was initiated by the Prague school of probabilists in the fifties. Recently the interest on this sub...

In this paper, we consider a new random iteration process to approximate a common random fixed point of a finite family of uniformly quasi-Lipschitzian random mappings in generalized convex metric spaces. Our results presented in this paper extend and improve several recent results. c ©2016 All rights reserved.

Let X, d be a metric space and S a closed and nonempty subset of X. Denote by 2 resp., C X the family of all nonempty resp., nonempty and closed subsets of X. A mapping T : S → 2 is said to satisfy condition P if, for every closed ball B of S with radius r ≥ 0 and any sequence {xn} in S for which d xn, B → 0 and d xn, T xn → 0 as n → ∞, there exists x0 ∈ B such that x0 ∈ T x0 where d x, B inf{d...

*Correspondence: [email protected] 1Departamento de Análise Matemática, Estatística e Optimización, Facultade de Matemáticas, Universidade de Santiago de Compostela, Santiago de Compostela, 15782, Spain Full list of author information is available at the end of the article Abstract We present the random version in partially ordered metric spaces of the classical Banach contraction prin...

In this present article, we find some fixed point theorems in Hilbert Space satisfying rational type contractive condition. Our result is extension and generalization of many previous known results.

Purpose: The main purpose of this paper is to prove a random fixed point theorem in a separable Banach space equipped with a complete probability measure for a certain class of contractive mappings. Results: The main finding of this paper is the identification of some random fixed point theorems and the relevant application with appropriate supporting examples. Conclusion: A random fixed point ...

We proved a random coincidence point theorem for a pair of commuting random operators in the setup of Fréchet spaces. As applications, we obtained random fixed point and best approximation results for ∗-nonexpansive multivalued maps. Our results are generalizations or stochastic versions of the corresponding results of Shahzad and Latif [Shahzad, N.; Latif, A. A random coincidence point theorem...

I compared sexual(SX) and hermaphroditic(HA) reproduction schemes within the Penna model[1]. A fixed set of parameters was used, to make the results comparable with recent simulations[2]. I also reproduced the results for a selfemerging dominance[2] in an independant simulation for both hermaphroditic and sexual cases. A variation on partner selection was also implemented, this shifted stable p...