Department of Mathematics, Faculty of Science, Naresuan University, Thailand
Abstract
In this study, we introduce the class of asymptotically generalized Phi-pseudocontractive
mappings in the intermediate sense and prove the convergence of Mann type iterative scheme to their fixed points. Our results improves and generalizes the results of
Kim et al. [J. K. Kim, D. R. Sahu, Y. M. Nam, Convergence theorem for fixed points of nearly LLipschitzian
mappings, Nonlinear Analysis 71 (2009) 28332838]
and several others