On cyclic relatively nonexpansive mappings in generalized semimetric spaces


  • Moosa Gabeleh Ayatollah Boroujerdi University ; Institute for Research in Fundamental Sciences (IPM)




Cyclic relatively nonexpansive mapping, seminormal structure, generalized semimetric space


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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Author Biography

Moosa Gabeleh, Ayatollah Boroujerdi University ; Institute for Research in Fundamental Sciences (IPM)

Department of Mathematics


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How to Cite

M. Gabeleh, “On cyclic relatively nonexpansive mappings in generalized semimetric spaces”, Appl. Gen. Topol., vol. 16, no. 2, pp. 99–108, Oct. 2015.