Weak and Strong Convergence Theorems for Zero Points of Inverse Strongly Monotone Mapping and Fixed Points of Quasi-nonexpansive Mappings in Hilbert Space

Buris Tongnoi, Suthep Suantai

Abstract


In this paper, we propose a new algorithm for zero points of inverse strongly monotone mapping and fixed points of a finite of quasi-nonexpansive mappings in Hilbert space and prove weak and strong convergence theorems for the proposed methods under some conditions. Moreover, we also show that the sequence generated by our algorithm converges to a solution of some variational inequality problem.

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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|