NDLI: Iterative Methods for Finding Common Solution of Generalized Equilibrium Problems and Variational Inequality Problems and Fixed Point Problems of a Finite Family of Nonexpansive Mappings

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Iterative Methods for Finding Common Solution of Generalized Equilibrium Problems and Variational Inequality Problems and Fixed Point Problems of a Finite Family of Nonexpansive Mappings

Content Provider	Semantic Scholar
Author	Kangtunyakarn, Atid
Copyright Year	2010
Abstract	We introduce a new method for a system of generalized equilibrium problems, system of variational inequality problems, and fixed point problems by using S-mapping generated by a finite family of nonexpansive mappings and real numbers. Then, we prove a strong convergence theorem of the proposed iteration under some control condition. By using our main result, we obtain strong convergence theorem for finding a common element of the set of solution of a system of generalized equilibrium problems, system of variational inequality problems, and the set of common fixed points of a finite family of strictly pseudocontractive mappings.
File Format	PDF HTM / HTML
Alternate Webpage(s)	http://emis.maths.tcd.ie/EMIS/journals/HOA/FPTA/Volume2010/836714.pdf
Alternate Webpage(s)	http://www.fixedpointtheoryandapplications.com/content/pdf/1687-1812-2010-836714.pdf
Alternate Webpage(s)	https://fixedpointtheoryandapplications.springeropen.com/track/pdf/10.1155/2010/836714
Language	English
Access Restriction	Open
Subject Keyword	Calculus of variations Convergence (action) Fixed point (mathematics) Fixed-Point Number Iteration Iterative method Kind of quantity - Equilibrium Minimal mappings Social inequality Variational inequality Variational principle
Content Type	Text
Resource Type	Article

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