FIXED POINT THEOREMS FOR NEW GENERALIZED HYBRID MAPPINGS IN HILBERT SPACES AND APPLICATIONS

Wataru Takahashi, Ngai‐Ching Wong, Jen‐Chih Yao

Type: Article

Publication Date: 2013-09-01

Citations: 8

DOI: https://doi.org/10.11650/tjm.17.2013.2921

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.

Locations

Taiwanese Journal of Mathematics - View - PDF

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