The study of convergence theorems for nonlinear cyclic mappings

摘要

In this paper, we establish some new convergence theorems for newnonlinear mappings satisfying the following condition:(S) there exists an MT -function ' : [0;1) ! [0; 1) such thatd (Tx; Ty) '(d(x; y)) max d(x; y);15[d(Tx; x) + 2d(Ty; y) + d(y; Tx)] + (1 ?? '(d(x; y)))dist(A;B)for all x 2 A and y 2 B: