The Comparably Almost (S,t)- Stability for Random Jungck-Type Iterative Schemes

Abstract

The purpose of this paper is to introduce the concept of generalized - weakly con-tractive random operators and study a new concept of stability introduced by Kim [15] which is alled comparably almost stability and then prove the comparably almost (S,T)- stability for the Jungck-type random iterative schemes. Our results extend, improve and unify the recent results in [15], [19], [32] and many others. We also give stochastic version of many important known results.

A New Four-Step Iterative Approximation Scheme for Reich-Suzuki-Type Nonexpansive Operators in Banach Spaces

“…The notion of stability mentioned in Definition 2.8 has recently been studied by several authors for different classes of contraction mappings (see e. g. [32]- [37]), and the references in them).…”