Approximation of Common Solutions to Proximal Split Feasibility Problems and Fixed Point Problems in Hilbert Spaces

Cholatis Suanoom, Wongvisarut Khuangsatung

Abstract


In this paper, a new iterative algorithm is proposed for  finding the minimum-norm solution of a  proximal split minimization problem and   fixed point problem of quasi-nonexpansive mappings in Hilbert spaces.  Under suitable conditions, it is proved that  the sequence generated by the proposed algorithm converges strongly to a common solution of the two above described problems. The iterative algorithm are proposed in such a way that the selection of the step-sizes does not need any prior information about the operator norm.

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The Thai Journal of Mathematics organized and supported by The Mathematical Association of Thailand and Thailand Research Council and the Center for Promotion of Mathematical Research of Thailand (CEPMART).

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|ISSN 1686-0209|