3 years ago

A New S-Type Iteration Scheme for Generalized Nonexpansive Mappings

Arti Saxena, Izhar Uddin

Abstract

Different iterative processes have been used recently to approximate the fixed points of multivalued nonexpansive mappings. Among these iterative procedures iteration scheme due to Sastry and Babu (Czechoslovak Math J 55:817–826, 2005), Panyanak (Comput Math Appl 54:872–877, 2007), Song and Wang (Nonlinear Anal 70:1547–1556, 2009) and Shahzad and Zegeye (Nonlinear Anal 71:838–844, 2009) are notable generalizations of Mann and Ishikawa iteration process especially in the case of multivalued mappings. A new S-type iteration scheme for a multivalued generalized nonexpansive mapping is introduced here. Some convergence theorems are proved by using the same iteration scheme. In this process, many existing results in literature are extended and improved.

Publisher URL: https://link.springer.com/article/10.1007/s40010-017-0420-3

DOI: 10.1007/s40010-017-0420-3

You might also like
Never Miss Important Research

Researcher is an app designed by academics, for academics. Create a personalised feed in two minutes.
Choose from over 15,000 academics journals covering ten research areas then let Researcher deliver you papers tailored to your interests each day.

  • Download from Google Play
  • Download from App Store
  • Download from AppInChina

Researcher displays publicly available abstracts and doesn’t host any full article content. If the content is open access, we will direct clicks from the abstracts to the publisher website and display the PDF copy on our platform. Clicks to view the full text will be directed to the publisher website, where only users with subscriptions or access through their institution are able to view the full article.