Next Article in Journal
Fractional Fokker-Planck Equation
Previous Article in Journal
Approximation in Müntz Spaces MΛ,p of Lp Functions for 1 < p < ∞ and Bases
Article Menu

Export Article

Open AccessArticle
Mathematics 2017, 5(1), 11; doi:10.3390/math5010011

The Split Common Fixed Point Problem for a Family of Multivalued Quasinonexpansive Mappings and Totally Asymptotically Strictly Pseudocontractive Mappings in Banach Spaces

Department of Mathematics, Imam Khomeini International University, Qazvin 34149, Iran
*
Author to whom correspondence should be addressed.
Academic Editor: Hari M. Srivastava
Received: 29 September 2016 / Revised: 15 January 2017 / Accepted: 6 February 2017 / Published: 11 February 2017
View Full-Text   |   Download PDF [306 KB, uploaded 20 February 2017]

Abstract

In this paper, we introduce an iterative algorithm for solving the split common fixed point problem for a family of multi-valued quasinonexpansive mappings and totally asymptotically strictly pseudocontractive mappings, as well as for a family of totally quasi-ϕ-asymptotically nonexpansive mappings and k-quasi-strictly pseudocontractive mappings in the setting of Banach spaces. Our results improve and extend the results of Tang et al., Takahashi, Moudafi, Censor et al., and Byrne et al. View Full-Text
Keywords: split common fixed point problem; totally asymptotically strictly pseudocontractive mapping; quasinonexpansive mapping; k-quasi-strictly pseudocontractive mapping split common fixed point problem; totally asymptotically strictly pseudocontractive mapping; quasinonexpansive mapping; k-quasi-strictly pseudocontractive mapping
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

Scifeed alert for new publications

Never miss any articles matching your research from any publisher
  • Get alerts for new papers matching your research
  • Find out the new papers from selected authors
  • Updated daily for 49'000+ journals and 6000+ publishers
  • Define your Scifeed now

SciFeed Share & Cite This Article

MDPI and ACS Style

Abkar, A.; Shahrosvand, E.; Azizi, A. The Split Common Fixed Point Problem for a Family of Multivalued Quasinonexpansive Mappings and Totally Asymptotically Strictly Pseudocontractive Mappings in Banach Spaces. Mathematics 2017, 5, 11.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Mathematics EISSN 2227-7390 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top