Abstract

In this paper, we apply H(·, ·)-cocoercive operators due to Ahmad et al.[1] for solving a set-valued variational inclusion problem via a resolvent equation problem. An equivalence of set-valued variational inclusion problem and a fixed point problem is given. We also established a relationship between set-valued variational inclusion problem and a resolvent equation problem. This equivalence is used to suggest an iterative algorithm for solving resolvent equation problem. Some examples are constructed.

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