Abstract
In this paper, a parallel iterative algorithm is investigated for common zeros of a family of m-accretive operators. Strong convergence theorems are established in a reflexive Banach space.
Highlights
1 Introduction In this paper, we are concerned with the problem of finding common zero points of a finite family of accretive operators in a reflexive Banach space
Many nonlinear problems arising in applied areas such as image recovery and signal processing are mathematically modeled as fixed or zero point problems
One of the most popular techniques for solving zero points of accretive operators is the proximal point algorithms, which have been studied by many authors; see [ – ] and the references therein
Summary
1 Introduction In this paper, we are concerned with the problem of finding common zero points of a finite family of accretive operators in a reflexive Banach space. Where A is an accretive operator in an appropriate Banach space. It is well known that lp has a weakly continuous duality mapping with a gauge function φ(t) = tp– for all < p < ∞.
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