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2013•Journal of Inequalities and ApplicationsOpen access

The general iterative methods for equilibrium problems and fixed point problems of a countable family of nonexpansive mappings in Hilbert spaces

Kiattisak Rattanaseeha

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Abstract

In this paper, the researcher introduces the general iterative scheme for finding a common element of the set of equilibrium problems and fixed point problems of a countable family of nonexpansive mappings in Hilbert spaces.The results presented in this paper improve and extend the corresponding results announced by many others.

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What this paper is about

In this paper, the researcher introduces the general iterative scheme for finding a common element of the set of equilibrium problems and fixed point problems of a countable family of nonexpansive mappings in Hilbert spaces.The results presented in this paper improve and extend the corresponding results announced by many others.

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OpenAlex reports 5 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In this paper, the researcher introduces the general iterative scheme for finding a common element of the set of equilibrium problems and fixed point problems of a countable family of nonexpansive mappings in Hilbert spaces.The results presented in this paper improve and extend the corresponding results announced by many others.

Key concepts: Countable set, Mathematics, Hilbert space, Fixed point, Scheme (mathematics), Set (abstract data type), Point (geometry), Pure mathematics

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