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Start Over Descriptor "Weak convergence" Topic operator equations Topic strong convergence Publisher carpathian journal of mathematics
1 results on '"Weak convergence"'

1. Inertial Iteration Scheme for Approximating Fixed Points of Lipschitz Pseudocontractive Maps in Arbitrary Real Banach Spaces.

Author

NWOKORO, P. U., AGBEBAKU, D. F., CHIMA, E. E., ONAH, A. C., OGUGUO, O. U., and OSILIKE, M. O.

Subjects
*BANACH spaces, *OPERATOR equations
Abstract

We study a perturbed inertial Krasnoselskii-Mann-type algorithm and prove that the algorithm is an approximate fixed point sequence for Lipschitz pseudocontractive maps in arbitrary real Banach spaces. Strong convergence results are then established for our inertial iteration scheme for approximation of fixed points of Lipschitz pseudocontractive maps and solutions of certain important accretive-type operator equations in certain real Banach spaces. Implementation of our algorithm is illustrated using numerical examples in both finite and infinite dimensional Banach spaces. Our results improve rate of convergence and extend several related recent results. [ABSTRACT FROM AUTHOR]

Published
2023
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