Abstract
In this paper, we introduce a broad class of nonlinear mappings in a Hilbert space which covers nonexpansive mappings, nonspreading mappings, hybrid mappings and contractive mappings. Then we prove fixed point theorems for the class of such mappings. Using these results, we prove well-known and new fixed point theorems in a Hilbert space.
Citation
Wataru Takahashi. Ngai-Ching Wong. Jen-Chih Yao. "FIXED POINT THEOREMS FOR NEW GENERALIZED HYBRID MAPPINGS IN HILBERT SPACES AND APPLICATIONS." Taiwanese J. Math. 17 (5) 1597 - 1611, 2013. https://doi.org/10.11650/tjm.17.2013.2921
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