An Explicit Midpoint Algorithm for Nonexpansive Semigroup in smooth Banach Spaces

In this paper, we introduce a new iterative midpoint rule for finding a solutionof fixed point problem for a non-expansive semigroup in smooth Banach spaces. Weestablish a strong convergence theorem for the sequences generated by our proposediterative scheme. A numerical example present to illustrate the convergenceresult. Our results improve and extend the corresponding results in the literature.

کلیدواژه ها:

Non-expansive semigroup ، equilibrium problem ، midpoint method ، fixed point ، smooth Banach space