Convergence results for the zero-finding problem and fixed points of nonexpansive semigroups and strict pseudocontractions
School of Science, University of Phayao, Phayao, 56000, Thailand
Fixed Point Theory and Applications 2012, 2012:129 doi:10.1186/1687-1812-2012-129Published: 5 August 2012
In this work, we establish strong convergence theorems for solving the fixed point problem of nonexpansive semigroups and strict pseudocontractions, and the zero-finding problem of maximal monotone operators in a Hilbert space. We further apply our result to the convex minimization problem and commutative semigroups.
MSC: 47H09, 47H10.