%0 Article
%A Chidume, Charles E.
%I Springer Nature
%T New algorithms for approximating zeros of inverse strongly monotone maps and J-fixed points.
%J Fixed Point Theory & Applications
%V 2020
%N 1
%P 1-17
%U http://search.ebscohost.com/login.aspx?direct=true&db=a9h&AN=141511095&site=ehost-live
%X Let E be a real Banach space with dual space E ∗ . A new class of relatively weakJ-nonexpansive maps, T : E → E ∗ , is introduced and studied. An algorithm to approximate a common element of J-fixed points for a countable family of relatively weak J-nonexpansive maps and zeros of a countable family of inverse strongly monotone maps in a 2-uniformly convex and uniformly smooth real Banach space is constructed. Furthermore, assuming existence, the sequence of the algorithm is proved to converge strongly. Finally, a numerical example is given to illustrate the convergence of the sequence generated by the algorithm.