Inertial Iteration for Split Common Fixed-Point Problem for Quasi-Nonexpansive Operators | Zendy

Yazheng Dang | Zendy; Yan Gao | Zendy

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Inertial Iteration for Split Common Fixed-Point Problem for Quasi-Nonexpansive Operators

Author(s) -

Yazheng Dang,

Yan Gao

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/386930

Subject(s) - mathematics , hilbert space , fixed point , inertial frame of reference , convergence (economics) , point (geometry) , iterative method , mathematical optimization , algorithm , mathematical analysis , geometry , physics , quantum mechanics , economics , economic growth

Inspired by the note on split common fixed-point problem for quasi-nonexpansive operators presented by Moudafi (2011), based on the very recent work by Dang et al. (2012), in this paper, we propose an inertial iterative algorithm for solving the split common fixed-point problem for quasi-nonexpansive operators in the Hilbert space. We also prove the asymptotical convergence of the algorithm under some suitable conditions. The results improve and develop previously discussed feasibility problems and related algorithms

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