Abstract
A modified Mann iteration with computational errors is investigated. A strong convergence theorem for zero points of an m-accretive operator is established in a Banach space. MSC:47H06, 47H09, 47J25, 65J15.
Highlights
1 Introduction In this paper, we are concerned with the problem of finding zero points of accretive operators
Where A is an accretive operator in an appropriate Banach space
One of the basic ideas in the case of a Hilbert space H is reducing the above equation ( . ) to a fixed point problem of the operator RA : H → H defined by RA = (I + A), which is called the classical resolvent of A
Summary
We are concerned with the problem of finding zero points of accretive operators. It is known that the Krasnoselski-Mann iteration only has weak convergence even for nonexpansive mappings in infinite-dimensional Hilbert spaces; for more details, see [ ]
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