GENERALIZED HYBRID MAPPINGS IN HILBERT SPACES AND BANACH SPACES
Ming‐Hsiu Hsu, Wataru Takahashi, Jen‐Chih Yao · Taiwanese Journal of Mathematics · 2012
In this paper, we deal with a broad class of nonlinear mappings in a Hilbert space and a Banach space called generalized hybrid which contains the classes of nonexpansive mappings, nonspreading mappings, and hybrid mappings. Then, we prove fixed point theorems for these nonlinear mappings in a Hilbert space and a Banach space. Furthermore, we obtain duality theorems for nonlinear mappings in a Banach space.