Mathematical Theory and Modeling
Fixed Points Theorem on A Pair of Random Generalized Non-Linear Contractions
Abstract
A fixed point theorem for a pair of random generalized non-linear contraction mappings involving four points of the space under consideration is proven. It is shown that this result includes the result of Lee and Padgett [1]. Also an application of the result is given.
Key words : Complete probability measure space, d-algebras, Borel subsets, random operator, separable Banach space, upper semi-continuous functions. Bochner integral,
Mathematics Subject classification: Primary 60H99, 47H10, and Secondary 60H 20.
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ISSN (Paper)2224-5804 ISSN (Online)2225-0522
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