Strong Convergence Theorems for Asymptotically Pseudocontractive Mappings in the Intermediate Sense
J. O. Olaleru
Department of Mathematics, University of Lagos, Akoka, Lagos, Nigeria
G. A. Okeke *
Department of Mathematics, University of Lagos, Akoka, Lagos, Nigeria
*Author to whom correspondence should be addressed.
Abstract
In this study, we prove a strong convergence of Noor type scheme for a uniformly L-Lipschitzian and asymptotically pseudocontractive mappings in the intermediate sense without assuming any form of compactness. Consequently, we also obtain a convergence result for the class of asymptotically strict pseudocontractive mappings in the intermediate sense. Our results are improvements and extensions of some of the results in literature.
Keywords: Strong convergence, asymptotically nonexpansive mappings, asymptotically pseudocontractive mappings in the intermediate sense, asymptotically strict pseudocontractive mappings in the intermediate sense