Abstract
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.
Citation
Ming-Hsiu Hsu. Wataru Takahashi. Jen-Chih Yao. "GENERALIZED HYBRID MAPPINGS IN HILBERT SPACES AND BANACH SPACES." Taiwanese J. Math. 16 (1) 129 - 149, 2012. https://doi.org/10.11650/twjm/1500406532
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