Convergence Theorems on Generalized Strongly Successively Ø-pseudocontractive Mappings in the Intermediate Sense
G. A. Okeke *
Department of Mathematics, University of Lagos, Akoka, Lagos, Nigeria.
H. Olaoluwa
Department of Mathematics, University of Lagos, Akoka, Lagos, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
We introduce a new class of nonlinear mappings, the class of generalized strongly successively Φ - pseudocontractive mappings in the intermediate sense and prove the convergence of Mann type iterative scheme to their fixed points. Our results improves and generalizes several other results in literature.
Keywords: Generalized strongly successively -pseudocontractive mappings in the intermediate sense, Banach spaces, Mann type iterative scheme, strong convergence, fixed point