Cover Image

Fixed point theorems for Meir-Keeler condensing operators in partially ordered Banach spaces

Nopparat Wairojjana, Habib ur Rehman, Muhammad Sirajo Abdullahi, Nuttapol Pakkaranang

Abstract


The purpose of this paper to build up the concept of a Meir-Keeler condensing and integral type condensing operators in partially ordered Banach spaces via the concept of a measure of noncompactness. We also provide a characterization of a Meir-Keeler condensing operators using the notion of $L$-functions in partially ordered Banach spaces. To attain these results, we relaxed the conditions of boundedness, closeness, and convexity of the set at the expense that the operatoris monotone and bounded. In addition, as an application, we apply these results to obtain coupled and tripled fixed theorems. Our results generalize and extend similarliterature results.

Full Text: PDF

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|