3.9 Article

Split common fixed point problem for two quasi-pseudo-contractive operators and its algorithm construction

Journal

FIXED POINT THEORY AND APPLICATIONS
Volume -, Issue -, Pages -

Publisher

SPRINGER INTERNATIONAL PUBLISHING AG
DOI: 10.1186/s13663-015-0376-4

Keywords

split common fixed point problem; quasi-pseudo-contractive operator; quasi-nonexpansive operator; directed operator; demicontractive operator

Funding

  1. NSC [101-2628-E-230-001-MY3, 101-2622-E-230-005-CC3]
  2. MOST [103-2923-E-039-001-MY3]

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The split common fixed point problem for two quasi-pseudo-contractive operators is studied. Some properties for quasi-pseudo-contractive operators are presented. An iterative algorithm for solving the split common fixed point problem for two quasi-pseudo-contractive operators is constructed. Strong convergence theorems are proved. A unified framework for the study of this class problem and class of operators is provided.

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