4.1 Article

FIXED POINT THEOREMS AND WEAK CONVERGENCE THEOREMS FOR GENERALIZED HYBRID MAPPINGS IN HILBERT SPACES

Journal

TAIWANESE JOURNAL OF MATHEMATICS
Volume 14, Issue 6, Pages 2497-2511

Publisher

MATHEMATICAL SOC REP CHINA
DOI: 10.11650/twjm/1500406086

Keywords

Hilbert space; Nonexpansive mapping; Nonspreading mapping; Hybrid mapping; Fixed point; Mean convergence

Categories

Funding

  1. Japan Society for the Promotion of Science [19540167]
  2. NSC [98-2115-M-110-001]
  3. Grants-in-Aid for Scientific Research [19540167] Funding Source: KAKEN

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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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