Convergence Theorems for Common Fixed Points of Two G-Nonexpansive Mappings in a Banach Space with a Directed Graph

Manakorn Wattanataweekul, Chalongchai Klanarong

Abstract


The purpose of this paper is to prove weak and strong convergence theorems of a new iterative scheme for common fixed points of  two $G$-nonexpansive mappings in a Banach space  endowed with a directed graph.  Also, we give an example for  numerical result of our main theorem and compare the rate of convergence of our iteration and Ishikawa iteration. Furthermore, we give some consequences of those theorems for two monotone nonexpansive mappings in a Banach space.

Full Text: PDF

Refbacks

  • There are currently no refbacks.


The Thai Journal of Mathematics is supported by The Mathematical Association of Thailand and Thailand Research Council and the Center for Promotion of Mathematical Research of Thailand (CEPMART).

Copyright 2022 by the Mathematical Association of Thailand.

All rights reserve. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, without the prior permission of the Mathematical Association of Thailand.

|ISSN 1686-0209|