CONVERGENCE THEOREMS FOR ASYMPTOTICALLY PSEUDOCONTRACTIVE MAPPINGS IN THE INTERMEDIATE SENSE FOR THE MODIFIED NOOR ITERATIVE SCHEME

Subject Areas : International Journal of Mathematical Modelling & Computations

Godwin Amechi  Okeke ¹ (Department of Mathematics, University of Lagos, Nigeria Nigeria Lecturer,Department of Mathematics,University of Lagos,Nigeria.)
Johnson O  Olaleru ² (Department of Mathematics, University of Lagos, Nigeria. Nigeria Professor of Fixed Point Theory (mathematics))

Received: 2016-04-15 Accepted : 2016-04-15 Published : 2015-03-21

Keywords: Asymptotically pseudocontractive mapping in the intermediate sense, weak and strong convergence theorems, the modified Noor iterative scheme,

Abstract :

We study the convergence of the modified Noor iterative scheme for the class of asymptotically pseudocontractive mappings in the intermediate sense which is not necessarily Lipschitzian. Our results improves, extends and unifies the results of Schu [23] and Qin {\it et al.} [25].