Approximating Common Fixed Points of an Evolution Family on a Metric Space via Mann Iteration

Liang Luo, Rizwan Ullah, Gul Rahmat, Saad Ihsan Butt, Muhammad Numan and Ming-Sheng Liu

Journal of Mathematics, 2021, vol. 2021, 1-7

Abstract: In this article, we present the set of all common fixed points of a subfamily of an evolution family in terms of intersection of all common fixed points of only two operators from the family; that is, for subset M of L, we have FM=FYϱ1,0∩FYϱ2,0, where ϱ1 and ϱ2 are positive and ϱ1/ϱ2 is an irrational number. Furthermore, we approximate such common fixed points by using the modified Mann iteration process. In fact, we are generalizing the results from a semigroup of operators to evolution families of operators on a metric space.

Date: 2021
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/jmath/2021/6764280.pdf (application/pdf)
http://downloads.hindawi.com/journals/jmath/2021/6764280.xml (application/xml)

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:hin:jjmath:6764280

DOI: 10.1155/2021/6764280

Access Statistics for this article

More articles in Journal of Mathematics from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().