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The iterative approximation of solutions to system of multi-valued nonlinear operator equations

Lin W.

Journal of Applied Analysis

2004

Vol. 10, nr 2

303-309

The purpose of this paper is to study the Ishikawa iterative approximation of solutions to system of multi-valued Φ-accretive operator equations in real uniformly smooth Banach spaces. The results presented in this paper improve and extend the recent corresponding results.

On the convergence of the Ishikawa iterates to a common fixed point of multivalued mappings

Ćirić L., Ume J. S.

Demonstratio Mathematica

2003

Vol. 36, nr 4

951--956

Let C be a nonempty convex and closed subset of a normed linear space X and CB{C) be a family of all nonempty closed and bounded, not necessarily compact subsets of C. In this paper the convergence of the Ishikawa iterates to a common fixed point of a pair of multivalued mappings S, T : C - CB(C) which satisfy a very general condition (3) below, is considered.