CONVERGENCE THEOREMS ON ASYMPTOTICALLY GENERALIZED $\PHI-$ PSEUDOCONTRACTIVE MAPPINGS IN THE INTERMEDIATE SENSE

Authors

  • G. A. OKEKE Department of Mathematics, College of Science and Technology, Covenant University, Canaanland, KM 10, Idiroko Road, P. M. B. 1023, Ota, Ogun State, Nigeria

Keywords:

ASYMPTOTICALLY GENERALIZED $\PHI-$ PSEUDOCONTRACTIVE MAPPINGS IN THE INTERMEDIATE SENSE, Banach spaces, Mann type iterative scheme, strong convergence, unique fixed point

Abstract

In this study, we introduce the class of asymptotically generalized $\Phi$-pseudocontractive mappings in the intermediate sense and prove the convergence of Mann type iterative scheme to their fixed points. Our results improves and generalizes the results of Kim et al. [J. K. Kim, D. R. Sahu, Y. M. Nam, Convergence theorem for fixed points of nearly L-Lipschitzian mappings, Nonlinear Analysis 71 (2009) 2833-2838] and several others.

Author Biography

G. A. OKEKE, Department of Mathematics, College of Science and Technology, Covenant University, Canaanland, KM 10, Idiroko Road, P. M. B. 1023, Ota, Ogun State, Nigeria

Lecturer and Researcher, Department of Mathematics, University of Lagos, Akoka, Lagos, Nigeria.

Additional Files

Published

06/12/2014

Issue

Vol. 5 No. 2 (2014): JNAO

Section

Research Articles

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Copyright (c) 2010 Journal of Nonlinear Analysis and Optimization: Theory & Applications

Creative Commons License

This work is licensed under aย Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.