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Construction of a common element for the set of solutions of fixed point problems and generalized equilibrium problems in Hilbert spaces

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Khan M. A. A.

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

2016

tom 15

In this paper, we propose and analyse an iterative algorithm for the approximation of a common solution for a finite family of k-strict pseudocontractions and two finite families of generalized equilibrium problems in the setting of Hilbert spaces. Strong convergence results of the proposed iterative algorithm together with some applications to solve the variational inequality problems are established in such setting. Our results generalize and improve various existing results in the current literature.

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1 Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

1 Khan M. A. A.

1 2016

Wyniki wyszukiwania

Construction of a common element for the set of solutions of fixed point problems and generalized equilibrium problems in Hilbert spaces