Iterative approximation of split feasibility problem in real Hilbert spaces

  • J. N. Ezeora Department of Mathematics and Statistics, University of Port Harcourt, Nigeria
  • F.E. Bazuaye Department of Mathematics and Statistics, University of Port Harcourt, Nigeria
DOI: https://doi.org/10.52968/28307336
Keywords: Nonexpansive semigroup, Asymptotically nonexpansive semigroup, Pseudo-nonspreading map, Strictly pseudocontractive map

Abstract

In this paper, we propose an iterative algorithm for finding solution of split feasibilty problem involving a λ−strictly pseudo-nonspreading map and asymptotically nonexpansive semigroups
in two real Hilbert spaces. We prove weak and strong convergence theorems using the sequence obtained from the proposed algorithm. Finally, we applied our result to solve a monotone
inclusion problem and present a numerical example to support our result. 

Published
2021-11-10
How to Cite
Ezeora, J. N., & Bazuaye, F. (2021). Iterative approximation of split feasibility problem in real Hilbert spaces. International Journal of Mathematical Sciences and Optimization: Theory and Applications, 7(2), 30 - 47. https://doi.org/10.52968/28307336
Issue
Vol 7 No 2 (2021)
Section
Articles

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