On Ray's theorem for weak firmly nonexpansive mappings in Hilbert Spaces
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2016, Vol 12, Issue 1
Abstract
In this work, we introduce notions of generalized firmly nonexpansive (G-firmly non expansive) and fundamentally firmly nonexpansive (F-firmly nonexpansive) mappings and utilize to the same to prove Ray's theorem for G-firmly and F-firmly nonexpansive mappings in Hilbert Spaces. Our results extend the result due to F. Kohsaka [ Ray's theorem revisited: a fixed point free firmly nonexpansive mapping in Hilbert spaces, Journal of Inequalities and Applications (2015) 2015:86 ].
Authors and Affiliations
Tamer Nabil, Ahmed Hussein Soliman
Keywords
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- EP ID EP651711
- DOI 10.24297/jam.v12i1.610
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