We first obtain some properties of a fundamentally nonexpansive self-mapping on a nonempty subset of a Banach space and next show that if the Banach space is having the Opial condition, then the fixed points set of such a mapping with the convex range is nonempty. In particular, we establish that if the Banach space is uniformly convex, and the range of such a mapping is bounded, closed and convex, then its the fixed points set is nonempty, closed and convex.
Moosaei,M . (2016). On fixed points of fundamentally nonexpansive mappings in Banach spaces. International Journal of Nonlinear Analysis and Applications, 7(1), 219-224. doi: 10.22075/ijnaa.2015.308
MLA
Moosaei,M . "On fixed points of fundamentally nonexpansive mappings in Banach spaces", International Journal of Nonlinear Analysis and Applications, 7, 1, 2016, 219-224. doi: 10.22075/ijnaa.2015.308
HARVARD
Moosaei M. (2016). 'On fixed points of fundamentally nonexpansive mappings in Banach spaces', International Journal of Nonlinear Analysis and Applications, 7(1), pp. 219-224. doi: 10.22075/ijnaa.2015.308
CHICAGO
M Moosaei, "On fixed points of fundamentally nonexpansive mappings in Banach spaces," International Journal of Nonlinear Analysis and Applications, 7 1 (2016): 219-224, doi: 10.22075/ijnaa.2015.308
VANCOUVER
Moosaei M. On fixed points of fundamentally nonexpansive mappings in Banach spaces. IJNAA. 2016;7(1):219-224. doi: 10.22075/ijnaa.2015.308
International Journal of Nonlinear Analysis and Applications