ITERATIVE METHOD FOR FINDING ZEROS OF MONOTONE MAPPINGS AND FIXED POINT OF CERTAIN NONLINEAR MAPPING

Authors

  • J.N. Ezeora Department of Mathematics and Statistics, University of Port Harcourt, Rivers State, Nigeria Author
  • C. Izuchukwu School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa Author
  • R.C. Ogbonna School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa Author

Keywords:

Monotone operators, strict-pseudo contractive mappings, strict-pseudo nonspreading mappings, resolvents, Hilbert space

Subjects:

47H04, 47H06, 47H15, 47H17, 47J25

Abstract

In this article, an inertial Mann-type iterative algorithm is constructed using the so-called viscosity method of A. Moudafi, Viscosity approximation methods for fixed-point problems, J. Math. Anal. Appl. {241(1)} (2000), 46–55. A strong convergence theorem of mean ergodic-type is proved using the sequence of the iterative algorithm for finding zeros of monotone mappings and the fixed point of a strict pseudo nonspreading mapping in a real Hilbert space. Finally, we apply our result to solve some minimization problem.

Downloads

Published

2022-04-15

Issue

Vol. 74 No. 2 (2022): Vol. 74, Issue 2

Section

Articles

License

Copyright (c) 2022 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.