DOI: 10.5937/matmor2601031j ISSN: 1450-5932

On weak orbitally and asymptotically continuous mappings

Bharti Joshi, Naveen Chandra

In this note, we show that the recent results due to Khan and Oyetunbi [J. Fixed Point Theory Appl. 22:47, 2020], Górnicki [J. Fixed Point Theory Appl. 22:8, 2020], Bisht [J. Fixed Point Theory Appl. 21:54, 2019] and Górnicki [J. Fixed Point Theory Appl. 21:29, 2019] are still valid if mappings are not necessarily orbitally continuous or k-continuous on a complete metric space, but satisfy the weaker version of orbital continuity and k-continuity.

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