COMMON ACUTE POINTS AND CONVERGENCE THEOREMS FOR FAMILIES OF NONLINEAR MAPPINGS

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  • COMMON ACUTE POINTS AND CONVERGENCE THEOREMS FOR FAMILIES OF NONLINEAR MAPPINGS (Nonlinear Analysis and Convex Analysis)

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In this paper, we prove an attractive points theorem and strong convergence theorems of Halpern's type [21] for uniformly asymptotically regular $lambda$-hybrid mappings in a star-shaped subset of a Hilbert space. Using these results, we obtain a fixed point theorem and some strong convergence theorems. Further, we prove convergence theorems by using the concept of acute points of nonlinear mappings.

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