Fixed Point Theorems for Generalized R-Contraction in b-Metric Spaces

Atit Wiriyapongsanon, Narawadee Phudolsitthiphat


In 2015, Roldan Lopez de Hierro and Shahzad introduced the family of R-functions which cover simulation function and manageable function. Following this line of research, we introduce a generalization of R-contraction in b-metric spaces and prove some fixed point theorems for such mappings in $b$-metric spaces. Our results extend and improve several well-known comparable results. Finally, we give examples to support our results.

Full Text: PDF


  • 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|