Abstract

The aim of this note is to give the following theorem: Let p > 1 and let E be a p-uniformly convex Banach space, C a nonempty bounded closed convex subset of E, and A = [an,k]n,k ≥ 1 a strongly ergodic matrix. If T: C → C is a mapping such that g = lim infn → ∞infm = 0,1,2… ∑∞k = 1an,k · ||Tk + m||p < 1 + c, where c > 0 is some constant, then T has a fixed point in C.

Full Text
Paper version not known

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.