2000Bulletin of the Australian Mathematical SocietyOpen access

Finding common fixed points of nonexpansive mappings by iteration

Β. E. Rhoades

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Abstract

In this paper it is shown that a particular iteration scheme converges weakly to a common fixed point of a finite set of nonexpansive mappings. This result is an improvement of two related theorems in the literature.

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What this paper is about

In this paper it is shown that a particular iteration scheme converges weakly to a common fixed point of a finite set of nonexpansive mappings. This result is an improvement of two related theorems in the literature.

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Available abstract

In this paper it is shown that a particular iteration scheme converges weakly to a common fixed point of a finite set of nonexpansive mappings. This result is an improvement of two related theorems in the literature.

Key concepts: Mathematics, Fixed point, Scheme (mathematics), Fixed-point iteration, Set (abstract data type), Discrete mathematics, Applied mathematics, Pure mathematics

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