ITERATIVE METHODS FOR EQUILIBRIUM PROBLEMS, VARIATIONAL INEQUALITIES AND FIXED POINTS

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SAEIDI S.

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Journal: Bulletin of the Iranian Mathematical Society Year:2010 | Volume:36 | Issue:1 Page(s): 117-135

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Title

ITERATIVE METHODS FOR EQUILIBRIUM PROBLEMS, VARIATIONAL INEQUALITIES AND FIXED POINTS

Author(s)

SAEIDI S. | Issue Writer Certificate

Keywords

COMMON FIXED POINT

EQUILIBRIUM PROBLEM

INVERSE-STRONGLY MONOTONE MAPPING

NONEXPANSIVE MAPPING

PROJECTION

Abstract

We introduce iterative methods for finding a common element of the set of solutions of a system of EQUILIBRIUM PROBLEMs, the set of fixed points for an infinite family of nonexpansive mappings and a family of strictly pseudocontractive mappings, and the set of solutions of the variational inequalities for a family of alpha-inverse-strongly monotone mappings in a Hilbert space. We establish some weak and strong convergence theorems of the sequences generated by our proposed schemes. The strong convergence results are obtained via the CQ method.

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APA: Copy

SAEIDI, S.. (2010). ITERATIVE METHODS FOR EQUILIBRIUM PROBLEMS, VARIATIONAL INEQUALITIES AND FIXED POINTS. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 36(1), 117-135. SID. https://sid.ir/paper/571970/en

Vancouver: Copy

SAEIDI S.. ITERATIVE METHODS FOR EQUILIBRIUM PROBLEMS, VARIATIONAL INEQUALITIES AND FIXED POINTS. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY[Internet]. 2010;36(1):117-135. Available from: https://sid.ir/paper/571970/en

IEEE: Copy

S. SAEIDI, “ITERATIVE METHODS FOR EQUILIBRIUM PROBLEMS, VARIATIONAL INEQUALITIES AND FIXED POINTS,” BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, vol. 36, no. 1, pp. 117–135, 2010, [Online]. Available: https://sid.ir/paper/571970/en

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