Strong Convergence Theorems for Fixed Point Problems for Nonexpansive Mappings and Zero Point Problems for Accretive Operators Using Viscosity Implicit Midpoint Rules in Banach Spaces

Huancheng Zhang, Yunhua Qu and Yongfu Su
Additional contact information
Huancheng Zhang: Qinggong College, North China University of Science and Technology, Tangshan 063000, China
Yunhua Qu: Qian’an College, North China University of Science and Technology, Tangshan 064400, China
Yongfu Su: Department of Mathematics, Tianjin Polytechnic University, Tianjin 300387, China

Mathematics, 2018, vol. 6, issue 11, 1-19

Abstract: This paper uses the viscosity implicit midpoint rule to find common points of the fixed point set of a nonexpansive mapping and the zero point set of an accretive operator in Banach space. Under certain conditions, this paper obtains the strong convergence results of the proposed algorithm and improves the relevant results of researchers in this field. In the end, this paper gives numerical examples to support the main results.

Keywords: viscosity implicit midpoint rule; nonexpansive mapping; accretive operator; zero point problem (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/6/11/257/pdf (application/pdf)
https://www.mdpi.com/2227-7390/6/11/257/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:6:y:2018:i:11:p:257-:d:183493

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().