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. Osawaru Department of Mathematics, University of Benin, Nigeria
  • O. Adewale Department of Mathematics, University of Lagos, Nigeria

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. Osawaru, Department of Mathematics, University of Benin, Nigeria

Assistant Lecturer

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Published

2018-02-01

How to Cite

Akewe, H., Osawaru, E., & Adewale, O. (2018). ON SOFT FIXED POINT OF PICARD-MANN HYBRID ITERATIVE SEQUENCES IN SOFT NORMED LINEAR SPACES. Journal of Nonlinear Analysis and Optimization: Theory & Applications, 8(1), 85-94. Retrieved from http://www.math.sci.nu.ac.th/ojs302/index.php/jnao/article/view/473

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Section

Research Article