A Fixed Point Theorem for Generalized Lipschitzian Semigroups in Hilbert Spaces

Muhamad Najibufahmi, Atok Zulijanto


In this work, we use the concept of a generalized lipschitzian type condition for a semigroup of self mappings as employed in Imdad and Soliman [On uniformly generalized Lipschitzian mappings, Fixed Point Theory Appl. (2002) Article ID 692401] to provide existence theorem of a common fixed point for a left reversible semitopological semigroup of a generalized lipschitzian mappings in a Hilbert space. This result extends and improves a result of Downing and Ray [Uniformly lipschitzian semigroup in Hilbert spaces, Canad. Math. Bull. (1982) 210-214].

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|