On cyclic relatively nonexpansive mappings in generalized semimetric spaces
Keywords:Cyclic relatively nonexpansive mapping, seminormal structure, generalized semimetric space
AbstractIn 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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