A System of Multi-Valued Variational Inclusions Involving P-Accretive Mappings in Real Uniformly Smooth Banach Spaces

Faizan Ahmad Khan, Saleh A. Al-Mezel, Kaleem R. Kazmi

Abstract


In this paper, we consider a class of accretive mappings called P-accretive mappings in real Banach spaces. We prove that the proximal-point mapping of the  P-accretive mapping is single-valued and Lipschitz continuous. Further, we consider a system of multi-valued variational inclusions involving P-accretive mappings in real uniformly smooth Banach spaces. Using proximal-point mapping method, we prove the existence of solution and discuss the convergence analysis of iterative algorithm for the system of multi-valued variational inclusions. The theorems presented in this paper extend and improve many known results in the literature.

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 2021 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|