Strictly Pseudo-Contractive Volterra Integral Operators in Banach Spaces: Weak and Strong Convergence of the Mann Iteration with a Numerical Analysis Extension

I. D. Edem; J. Akpakwa; U. M. Okon; W. K. Udogworen; O. G. Udoaka

doi:10.5281/zenodo.21385703

journal article

Strictly Pseudo-Contractive Volterra Integral Operators in Banach Spaces: Weak and Strong Convergence of the Mann Iteration with a Numerical Analysis Extension

I. D. Edem, J. Akpakwa, U. M. Okon, W. K. Udogworen, O. G. Udoaka

African Journal of Mathematics, Statistics and Computer Science · 2026 · Volume 1 · Issue 2 · DOI: 10.5281/zenodo.21385703

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Abstract

We study nonlinear Volterra integral equations in uniformly convex Banach spaces $L^p(\Omega)$ $(1

Keywords

Volterra integral equation; strictly pseudo-contractive mapping; Mann iteration; one-sided Lipschitz condition; Banach space; numerical analysis; method of lines.

Repository metadata

DOI	10.5281/zenodo.21385703
ISSN
Pages	1–16
Licence	CC BY 4.0
Metadata completeness	91%