2010•Taiwanese Journal of MathematicsRequires access

Fixed Point Theorems and Weak Convergence Theorems for Generalized Hybrid Mappings in Hilbert Spaces

Pavel Kocourek, Wataru Takashi, Jen‐Chih Yao

Abstract

In this paper, we first consider a broad class of nonlinear mappings containing the classes of nonexpansive mappings, nonspreading mappings, and hybrid mappings in a Hilbert space. Then, we deal with fixed point theorems and weak convergence theorems for these nonlinear mappings in a Hilbert space.

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Key concepts: Mathematics, Hilbert space, Coincidence point, Convergence (economics), Weak convergence, Nonlinear system, Fixed point, Class (philosophy)