Research Article Open Access

Convergence Results for Fixed Point Problems of Accretive Operators in Banach Spaces

Chioma Lydia Ejikeme1, Mujahid Abbas2 and Dennis Ferdinand Agbebaku1
  • 1 University of Nigeria, Nigeria
  • 2 Government College University, Pakistan

Abstract

This paper deals with the approximate solutions of accretive maps in a uniformly convex Banach space. A weak convergence of a three - step iterative scheme involving the resolvents of accretive operators is proved. The main result is applied to a convex minimization problem in Hilbert spaces. In particular, the minimizer of a convex and proper lower semi-continuous function defined in a Hilbert space was obtained. Numerical illustration with graphical display of the convergence of the sequence obtained from the iterative scheme is also presented.

Journal of Mathematics and Statistics
Volume 16 No. 1, 2020, 161-169

DOI: https://doi.org/10.3844/jmssp.2020.161.169

Submitted On: 10 January 2020 Published On: 31 July 2020

How to Cite: Ejikeme, C. L., Abbas, M. & Agbebaku, D. F. (2020). Convergence Results for Fixed Point Problems of Accretive Operators in Banach Spaces. Journal of Mathematics and Statistics, 16(1), 161-169. https://doi.org/10.3844/jmssp.2020.161.169

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Keywords

  • Banach Spaces
  • Accretive Operators
  • Resolvents
  • Fixed Point