Displaying similar documents to “An iteration method for common solution of a system of equilibrium problems in Hilbert spaces.”

Convergence of Ishikawa iterates for a multi-valued mapping with a fixed point

K. P. R. Sastry, G. V. R. Babu (2005)

Czechoslovak Mathematical Journal

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Existence of fixed points of multivalued mappings that satisfy a certain contractive condition was proved by N. Mizoguchi and W. Takahashi. An alternative proof of this theorem was given by Peter Z. Daffer and H. Kaneko. In the present paper, we give a simple proof of that theorem. Also, we define Mann and Ishikawa iterates for a multivalued map T with a fixed point p and prove that these iterates converge to a fixed point q of T under certain conditions. This fixed point q may be different...