On the Equivalence of Stochastic Fixed Point Iterations for Generalized φ-Contractive-Like Operators | Zendy

Hudson Akewe | Zendy; Kanayo Stella Eke | Zendy; Victoria Olisama | Zendy

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On the Equivalence of Stochastic Fixed Point Iterations for Generalized φ-Contractive-Like Operators

Author(s) -

Hudson Akewe,

Kanayo Stella Eke,

Victoria Olisama

Publication year - 2018

Publication title -

international journal of analysis

Language(s) - English

Resource type - Journals

eISSN - 2314-4998

pISSN - 2314-498X

DOI - 10.1155/2018/9576137

Subject(s) - equivalence (formal languages) , separable space , mathematics , convergence (economics) , fixed point , banach space , algorithm , discrete mathematics , computer science , mathematical analysis , economics , economic growth

We present the equivalence of some stochastic fixed point iterative algorithms by proving the equivalence between the convergence of random implicit Jungck-Kirk-multistep, random implicit Jungck-Kirk-Noor, random implicit Jungck-Kirk-Ishikawa, and random implicit Jungck-Kirk-Mann iterative algorithms for generalized -contractive-like random operators defined on separable Banach spaces.

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