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1 Journal of Applied Analysis

1 2018

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Composite relaxed resolvent operator and Yosida approximation operator for solving a system of Yosida inclusions

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Ahmad R. , Mishra V. N. , Ishtyak M. , Rahaman M.

tom Vol. 24, nr 2

185--195

In this paper, we first study a composite relaxed resolvent operator and prove some of its properties. After that, we introduce a Yosida approximation operator based on the composite relaxed resolvent operator and demonstrate some properties of the Yosida approximation operator. Finally, we obtain the solution of a system of Yosida inclusions by applying these concepts.We construct a conjoin example in support of many concepts derived in this paper. Our concepts and results are new in the literature and can be used for further research.