APPROXIMATION OF SOLUTIONS OF HAMMERSTEIN INTEGRAL INCLUSIONS IN BANACH SPACES

SOLUTIONS OF HAMMERSTEIN INTEGRAL

Authors

  • M. S. MINJIBIR DEPARTMENT OF MATHEMATICAL SCIENCES, BAYERO UNIVERSITY, KANOE, NIGERIA
  • U. L. ABUBAKAR DEPARTMENT OF COMPUTER SCIENCE AND MATHEMATICS, NIGERIA POLICE ACADEMY, WUDIL, KANO, NIGERIA

Abstract

In this paper we study the strong convergence of iterative
algorithms for approximating  solutions of Hammerstein inclusion,
$0\in u+KFu$, in the setting of $q$-uniformly smooth and uniformly
smooth  for the cases where $K$ and $F$ are $\phi$-strongly
accretive mappings and strongly accretive, respectively. We prove
that the sequences generated from the algorithms converge to
solutions of the mentioned inclusion.

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Published

2026-09-01

Issue

Vol. 45 No. 3 (2026): JNMS

Section

Articles

License

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How to Cite

APPROXIMATION OF SOLUTIONS OF HAMMERSTEIN INTEGRAL INCLUSIONS IN BANACH SPACES: SOLUTIONS OF HAMMERSTEIN INTEGRAL. (2026). Journal of the Nigerian Mathematical Society, 45(3), 343-361. https://ojs.ictp.it/jnms/index.php/jnms/article/view/1299