An Explicit Midpoint Algorithm for Nonexpansive Semigroup in smooth Banach Spaces
الموضوعات :
Hamid Sahebi
1
(Department of Mathematics, Ashtian Branch, Islamic Azad university, Ashtian, Iran.)
Andreea Fulga
2
(Department of Mathematics and Computer Science, Faculty of Mathematics and Computer Science, Universitatea Transilvania Brasov, Brasov, Romania.)
الکلمات المفتاحية: smooth Banach space, Non-expansive semigroup, fixed point, equilibrium problem, midpoint method,
ملخص المقالة :
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.
