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Stability and strong convergence results for random Jungck-Kirk-Noor iterative scheme

Rashwan R. A., Hammad H. A.

Fasciculi Mathematici

2017

Nr 58

167--182

The purpose of this study is to introduce a Jungck-Kirk-Noor type random iterative scheme and prove stability and strong convergence of this to establish a general theorem to approximate the unique common random coincidence point for two or more nonself random commuting mappings under general contractive condition in various spaces. Also we give the stability and convergence for random Jungck-Kirk-Ishikawa and random Jungck-Kirk-Mann as a corollaries. The results obtained in this paper improve the corresponding results announced recently.

Approximating common random fixed point for two finite families of asymptotically nonexpansive random mappings

Rashwan R. A., Albaqeri D. M.

Fasciculi Mathematici

2014

Nr 53

129--148

The aim of this paper is to study weak and strong convergence of an implicit random iterative process with errors to a common random fixed point of two finite families of asymptotically nonexpansive random mappings in a uniformly convex separable Banach space.