Sahebi, Hamid RezaAzhini, MahdiCheragni, Masume2021-11-112021-11-112020-06-30https://doi.org/10.31801/cfsuasmas.484452http://hdl.handle.net/20.500.12575/76015In this paper, we introduce a new iterative midpoint rule for finding a solution of xed point problem for a nonexpansive semigroup in real Hilbert spaces. We establish a strong convergence theorem for the sequences generated by our proposed iterative scheme. Furthermore, we provide application to Fredholm integral equations. A numerical example is presented to illustrate the convergence result. Our results improve and extend the corresponding results in the literature.enNonexpansive semigroupEquilibrium problemMidpoint methodArticle6916136282618-6470