Article Sidebar
Published:
Nov 24, 2023Keywords:
Article Details
This work is licensed under a Creative Commons Attribution 4.0 International License.
All rights reserved. No part of the journal may be reproduced, stored in a retrieval system or transmitted in any form or by any means – electronic, mechanical, photocopying, recording, or otherwise – without the permission of the copyright owner, The Nigerian Academy of Science.
Main Article Content
An Efficient Algorithm for Zeros of Bounded Generalized Ghi-Quasi-Accretive Maps
Abstract
This is a research announcement of the following result. Let E be a real normed linear space in which the single-valued normalized duality map is Holder continuous on balls and let A: E → E be a bounded generalized Φ-quasi-accretive map. A Mann-type iterative sequence is constructed and proved to converge strongly to the unique zero of A. In particular, our Theorems are applicable in real Banach spaces that include the Lp spaces, 1 < p < ∞. The Theorems are stated here without proofs. The full version of this paper, including detailed technical proofs of the Theorems will be published elsewhere.
