Existence of Common Fixed Points via Modified Mann Iteration in Convex Metric Spaces and an Invariant Approximation Result

G. V. R. Babu；G. N. Alemayehu

Weakly compatible maps ； modified Mann iteration ； common fixed point ； invariant approximation

Tamkang Journal of Mathematics

41卷4期（2010 / 12 / 01）

335 - 347

英文

We prove the existence of common fixed points for two selfmaps T and f of a convex metric space X via the convergence of modified Mann iteration where T is a nonlinear f-weakly contractive selfmap of X and range of f is complete. An invariant approximation result is also proved.