On fixed points of asymptotically regular mappings

We prove some fixed point theorems for asymptotically regular self-mappings, not necessarily orbitally continuous or k-continuous, on complete metric spaces. Our results extend several recent results in the literature. An extension for multi-valued mappings with δ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\delta $$\end{document}-distance is also presented. Some examples are given to illustrate our results.