Generalize acute point and fixed point and convergence theorems (Study on Nonlinear Analysis and Convex Analysis)

Abstract

In this paper we generalize the concept of acute point and we introduce some acute point type theorems that holds under the same assumptions as fixed point theorems. Furthermore we show that fixed point theorems are derived from acute point type theorems. Furthermore we introduce some convergence theorems that holds under the same assumptions on parameters as fixed point theorems.