APPROXIMATION OF ATTRACTIVE POINTS OF NONLINEAR MAPPINGS --COMMON ATTRACTIVE POINTS, COMMON ACUTE POINTS, COMMON FIXED POINTS AND CONVERGENCE THEOREMS-- (Nonlinear Analysis and Convex Analysis)
Sachiko Atsushiba · Institutional Repositories DataBase (IRDB) · 2019
In this paper, we study the concept of attractive points of nonlinear mappings. We also study the concept of acute points of nonlinear mappings, and the concept of common acute points of the families of nonlinear mappings. We prove weak and strong convergence theorems for a semigroup generated by k-pseudo-contractive mappings by using these concepts.