On contractive mappings
MA Geraghty - Proceedings of the American Mathematical Society, 1973 - ams.org
MA Geraghty
Proceedings of the American Mathematical Society, 1973•ams.orgON CONTRACTIVE MAPPINGS d(f(x),f(y)) < d(x, y) for all x, y in X. d„ = d(xn,y„) and A„ = d(f(xn),f(y„))ldn.
Page 1 proceedings of the american mathematical society Volume 40, Number 2, October
1973 ON CONTRACTIVE MAPPINGS MICHAEL A. GERAGHTY Abstract. The Cauchy
condition for convergence of a contractive iteration in a complete metric space is replaced by
an equivalent functional condition. Many generalizations of the Banach-Neumann contractive
mapping principle follow. Introduction. Let A' be a complete metric space and let/:.*'—►A' be …
Page 1 proceedings of the american mathematical society Volume 40, Number 2, October
1973 ON CONTRACTIVE MAPPINGS MICHAEL A. GERAGHTY Abstract. The Cauchy
condition for convergence of a contractive iteration in a complete metric space is replaced by
an equivalent functional condition. Many generalizations of the Banach-Neumann contractive
mapping principle follow. Introduction. Let A' be a complete metric space and let/:.*'—►A' be …
Abstract
The Cauchy condition for convergence of a contractive iteration in a complete metric space is replaced by an equivalent functional condition. Many generalizations of the Banach-Neumann contractive mapping principle follow. References
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