The split common fixed point problem for generalized demimetric mappings in two Banach spaces |
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| Authors: | Wataru Takahashi |
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| Affiliation: | 1. Center for Fundamental Science, and Research Center for Nonlinear Analysis and Optimization, Kaohsiung Medical University, Kaohsiung, Taiwan;2. Keio Research and Education Center for Natural Sciences, Keio University, Kouhoku-ku, Japan;3. Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, Tokyo, Japanwataru@is.titech.ac.jpwataru@a00.itscom.net |
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| Abstract: | ABSTRACTIn this paper, we consider the split common fixed point problem for new demimetric mappings in two Banach spaces. Using the hybrid method, we prove a strong convergence theorem for finding a solution of the split common fixed point problem in two Banach spaces. Furthermore, using the shrinking projection method, we obtain another strong convergence theorem for finding a solution of the problem in two Banach spaces. Using these results, we obtain well-known and new strong convergence theorems in Hilbert spaces and Banach spaces. |
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| Keywords: | Split common fixed point problem fixed point metric projection metric resolvent hybrid method shrinking projection method duality mapping |
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