Random fixed point theorems in Banach spaces applied to a random nonlinear integral equation of the Hammerstein type

Random fixed point theorems in Banach spaces applied to a random nonlinear integral equation of the Hammerstein type

Abstract The purpose of this paper is to define a new random operator called the generalized ϕ-weakly contraction of the rational type. This new random operator includes those studied by Khan et al. (Filomat 31(12):3611–3626, 2017) and Zhang et al. (Appl. Math. Mech. 32(6):805–810, 2011) as special...

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Bibliographic Details
Main Authors: Godwin Amechi Okeke, Sheila Amina Bishop, Hudson Akewe
Format: Article
Language:English
Published: SpringerOpen 2019-10-01
Series:Fixed Point Theory and Applications
Subjects:
Random fixed point
Bochner integrable
Generalized ϕ-weakly contraction of the rational type
Random iterative process
Almost sure T-stability
Nonlinear integral equation of the Hammerstein type
Online Access:http://link.springer.com/article/10.1186/s13663-019-0665-4

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http://link.springer.com/article/10.1186/s13663-019-0665-4

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