Weak and Strong Convergence Theorems for the Inclusion Problem and the Fixed-Point Problem of Nonexpansive Mappings

Prasit Cholamjiak, Suparat Kesornprom and Nattawut Pholasa
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Prasit Cholamjiak: School of Science, University of Phayao, Phayao 56000, Thailand
Suparat Kesornprom: School of Science, University of Phayao, Phayao 56000, Thailand
Nattawut Pholasa: School of Science, University of Phayao, Phayao 56000, Thailand

Mathematics, 2019, vol. 7, issue 2, 1-19

Abstract: In this work, we study the inclusion problem of the sum of two monotone operators and the fixed-point problem of nonexpansive mappings in Hilbert spaces. We prove the weak and strong convergence theorems under some weakened conditions. Some numerical experiments are also given to support our main theorem.

Keywords: strong convergence; weak convergence; fixed point; nonexpansive mappings; maximal monotone operator; inverse strongly monotone mapping; hilbert space (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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