Random fixed point for random Fibonacci Noor iteration scheme

Abstract

The goal of this paper is to describe a new random iteration scheme known as the Fibonacci Noor random operator iteration. Under Fibonacci sequnce, three measures are included in the new iterative scheme. We prove some convergence, presence in separable Banach spaces that are uniformly convex. In addition, under the Fibonacci series, we generalized the asymptotically non-expansive random operator form.

Subject Classification:

• Primary 47H1099
• Secondary 47H40

Keywords:

• Banach spaces
• Iteration of Fibonacci Noor
• Asymptotically nonexpansive Fibonacci