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.


Copyright 2019 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|