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Projection splitting algorithms for nonself operators. (English) Zbl 06847101
Summary: In this paper, we investigate fixed points of a nonexpansive mapping and zero points of the sum of a \(m\)-accretive operator and an inverse strongly monotone operator via a projection splitting iterative algorithm. We obtain a convergence theorem of strong convergence in the framework of uniformly convex and \(q\)-uniformly smooth Banach spaces.

MSC:
47H06 Nonlinear accretive operators, dissipative operators, etc.
47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.
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