Stability of Some Iteration Schemes in Cone Banach Spaces

Deepmala --, Dipankar Das, Nilakshi Goswami

Abstract


In this paper, we discuss some stability theorems for mappings in cone Banach Spaces. Let $X$ be a cone Banach space with normal cone $P$ and $T$ be a self mapping on $X$ satisfying some specific condition. Here we derive different conditions under which the Mann iteration and Picard-Mann hybrid iteration schemes are stable in cone Banach space $X$. The stability of another iteration process converging to a common fixed point of two self mappings $S$ and $T$ on $X$ is also discussed here.

Refbacks

  • There are currently no refbacks.


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

Copyright 2020 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|