The Split Common Fixed Point Problem for a Family of Multivalued Quasinonexpansive Mappings and Totally Asymptotically Strictly Pseudocontractive Mappings in Banach Spaces

Ali Abkar, Elahe Shahrosvand and Azizollah Azizi
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Ali Abkar: Department of Mathematics, Imam Khomeini International University, Qazvin 34149, Iran
Elahe Shahrosvand: Department of Mathematics, Imam Khomeini International University, Qazvin 34149, Iran
Azizollah Azizi: Department of Mathematics, Imam Khomeini International University, Qazvin 34149, Iran

Mathematics, 2017, vol. 5, issue 1, 1-18

Abstract: In this paper, we introduce an iterative algorithm for solving the split common fixed point problem for a family of multi-valued quasinonexpansive mappings and totally asymptotically strictly pseudocontractive mappings, as well as for a family of totally quasi- ? -asymptotically nonexpansive mappings and k -quasi-strictly pseudocontractive mappings in the setting of Banach spaces. Our results improve and extend the results of Tang et al., Takahashi, Moudafi, Censor et al., and Byrne et al.

Keywords: split common fixed point problem; totally asymptotically strictly pseudocontractive mapping; quasinonexpansive mapping; k -quasi-strictly pseudocontractive mapping (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2017
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