ON SOFT FIXED POINT OF PICARD-MANN HYBRID ITERATIVE SEQUENCES IN SOFT NORMED LINEAR SPACES

Authors

  • H. AKEWE Department of Mathematics, University of Lagos, Nigeria
  • E. K. OSAWARU Department of Mathematics, University of Benin, Nigeria
  • O. K. ADEWALE Department of Mathematics, University of Lagos, Nigeria

Keywords:

soft unique fixed point, soft contractive-like operators, soft Picard-Mann hybrid iterative sequences, soft normed linear spaces

Abstract

In the present paper, we contribute to the development of soft set theory by introducing soft contractive-like operators and soft Picard-Mann hybrid iterative sequences. We then show that the soft Picard-Mann hybrid iterative sequences converges strongly to the unique soft fixed point for the class of soft contractive-like operators. Our results are generalization and improvement of several results on iterative schemes in literature.

Author Biographies

H. AKEWE, Department of Mathematics, University of Lagos, Nigeria

Lecturer I

E. K. OSAWARU, Department of Mathematics, University of Benin, Nigeria

Assistant Lecturer

Additional Files

Published

02/01/2018

Issue

Vol. 8 No. 1 (2017): JNAO

Section

Research Articles

License

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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.