Modified inertial-type Krasnosel'skii-Mann iterative algorithm involving total asymptotically nonexpansive mappings
Fixed Point Methods and Optimization, Volume 3, Issue 1, April 2026, Pages 36–49
EMMANUEL AKALIGWO
Department of Mathematics, Federal University Lokoja, P.M.B 1154 Lokoja, Kogi State, Nigeria
MICAH OSILIKE
Department of Mathematics, University of Nigeria, Nsukka, Enugu State, Nigeria
MICAH OSILIKE
Department of Mathematics, University of Nigeria, Nsukka, Enugu State, Nigeria
Abstract
In this paper we prove strong convergence theorem for the modified Krasnoselskii-Mann iteration process with step-sizes involving total asymptotically nonexpansive mapping in the framework of Hilbert space. Our results generalize, unify, and improve several comparable results in literature.
Cite this Article as
Emmanuel Akaligwo, Micah Osilike, and George Akuchu, Modified inertial-type Krasnosel'skii-Mann iterative algorithm involving total asymptotically nonexpansive mappings, Fixed Point Methods and Optimization, 3(1), 36–49, 2026