Open AccessOn cyclic relatively nonexpansive mappings in generalized semimetric spaces
Author(s) -
Moosa Gabeleh
Publication year - 2015
Publication title -
applied general topology
Language(s) - English
Resource type - Journals
eISSN - 1989-4147
pISSN - 1576-9402
DOI - 10.4995/agt.2015.2988
Subject(s) - mathematics , banach space , regular polygon , pure mathematics , stability (learning theory) , fixed point , fixed point theorem , mathematical analysis , geometry , machine learning , computer science
In this article, we prove a fixed point theorem for cyclic relatively nonexpansive mappings in the setting of generalized semimetric spaces by using a geometric notion of seminormal structure and then we conclude some results in uniformly convex Banach spaces. We also discuss on the stability of seminormal structure in generalized semimetric spaces
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