Convergence Theorems Based on the Shrinking Projection Method for Hemi-relatively Nonexpansive Mappings, Variational Inequalities and Equilibrium Problems

Zi-Ming Wang, Sun Young Cho, Yongfu Su

Abstract


In this paper, hemi-relatively nonexpansive mappings, variational inequalities andequilibrium problems are considered  based on a shrinking projectionmethod. Strong convergence of iterative sequences is obtained  in a uniformly convex and uniformly smooth Banach space. As an application, the problem of  finding zeros of maximal monotoneoperators is studied.

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|