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Solving nonlinear implicit variational inclusion problems using S-iteration via relaxed resolvent operator

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The goal of the draft is to launch a fresh iteration scheme for nonlinear implicit variational inclusion problems with the help of strongly ()I−-monotone operator. This scheme is known as… Click to show full abstract

The goal of the draft is to launch a fresh iteration scheme for nonlinear implicit variational inclusion problems with the help of strongly ()I−-monotone operator. This scheme is known as relaxed S-iteration scheme. Here, we use relaxed resolvent operator into S-iteration and create a new operator and with the help of that operator we will establish the strong convergence result for the nonlinear implicit variational inclusion problems.

Keywords: operator; implicit variational; inclusion problems; iteration; variational inclusion; nonlinear implicit

Journal Title: Journal of Interdisciplinary Mathematics
Year Published: 2023

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