Convergence Analysis for Family of Weak Relatively Nonexpansive Mappings and System of Equilibrium Problems

Yekini Shehu

Abstract


In this paper, we construct a new iterative scheme by hybrid methods to approximate a common element of the fixed points set of an infinite family of weak relatively nonexpansive mappings and the solutions set of a system of equilibrium problems in a a uniformly smooth and strictly convex real Banach space with Kadec-Klee property using the properties of generalized f-projection operator. Then, we prove strong convergence of the scheme to a common element of the two sets. We give applications of our results in a Banach space. Our results extend many known recent results in the literature.


Full Text: PDF

Refbacks

  • There are currently no refbacks.


The Thai Journal of Mathematics is supported by The Mathematical Association of Thailand and Thailand Research Council and the Center for Promotion of Mathematical Research of Thailand (CEPMART).

Copyright 2022 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|