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Information Journal Paper

Title

ITERATIVE ALGORITHMS FOR FAMILIES OF VARIATIONAL INEQUALITIES FIXED POINTS AND EQUILIBRIUM PROBLEMS

Author(s)

 SAEIDI S. | Issue Writer Certificate 

Pages

  247-268

Abstract

 We introduce an iterative algorithm for finding a common element of the set of fixed points for an infinite family of NONEXPANSIVE MAPPINGs, the set of solutions of the variational inequalities for a family of-inverse-strongly monotone mappings and the set of solutions of a system of EQUILIBRIUM PROBLEMs in a Hilbert space. We prove the strong convergence of the proposed iterative algorithm to the unique solution of a VARIATIONAL INEQUALITY, which is the optimality condition for a minimization problem. Moreover, we apply our result to the problem of finding a COMMON FIXED POINT of a family of strictly pseudocontractive mappings.

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    • Cite

    APA: Copy

    SAEIDI, S.. (2011). ITERATIVE ALGORITHMS FOR FAMILIES OF VARIATIONAL INEQUALITIES FIXED POINTS AND EQUILIBRIUM PROBLEMS. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 37(1), 247-268. SID. https://sid.ir/paper/592864/en

    Vancouver: Copy

    SAEIDI S.. ITERATIVE ALGORITHMS FOR FAMILIES OF VARIATIONAL INEQUALITIES FIXED POINTS AND EQUILIBRIUM PROBLEMS. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY[Internet]. 2011;37(1):247-268. Available from: https://sid.ir/paper/592864/en

    IEEE: Copy

    S. SAEIDI, “ITERATIVE ALGORITHMS FOR FAMILIES OF VARIATIONAL INEQUALITIES FIXED POINTS AND EQUILIBRIUM PROBLEMS,” BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, vol. 37, no. 1, pp. 247–268, 2011, [Online]. Available: https://sid.ir/paper/592864/en

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