Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

Article

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Commun. Korean Math. Soc. 2022; 37(1): 75-89

Online first article September 17, 2021      Printed January 31, 2022

https://doi.org/10.4134/CKMS.c200411

Copyright © The Korean Mathematical Society.

Some fixed point theorems for weakly Picard operators in complete metric spaces and applications

Doan Trong Hieu, Bui The Hung

Quang Ninh University of Industry; Thai Nguyen University of Education

Abstract

In this paper, we prove new fixed point theorems for single-valued and multi-valued weakly Picard operators in complete metric linebreak spaces and give several examples. As applications, we give several results to Fredholm integral equation.

Keywords: Fixed point, metric spaces, weakly Picard operator

MSC numbers: Primary 47H10, 54H25