a b s t r a c tThe purpose of this work is to modify the Halpern-type iteration algorithm to have strong convergence under a limit condition only in the framework of Banach spaces. The results presented in this work improve on the corresponding ones announced by many others.

No abstract

In the paper, first, we introduce a new hybrid projection algorithm and present its strong convergence theorem. Next, we analyze different hybrid algorithms in computing and conclude that our proposed algorithm has an advantage. Finally, the numerical experiments validate the efficiency and advantages of the new algorithm. MSC: 90C47; 49J35

In this paper we give necessary and sufficient conditions for the existence of fixed and common fixed points of self-mappings of metric spaces. Our results generalize, improve, and unify some results of Chang, Jungck, Fisher, and Dien.

No abstract