Strong convergence theorems for generalized strict asymptotically pseudocontractive mapping in Hilbert spaces

Abstract

In this paper, we introduce a new class of generalized strict asymptotically pseudocontractive mapping in a real Hilbert space and prove the strong convergence of three-step iteration scheme for a uniformly L-Lipschitzian and generalized strict asymptotically pseudocontractive mappings without assuming any form of compactness. The results presented in this paper improve and extend the
corresponding results in the earlier and recent literature.