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A Fixed Point Theorem for Weakly Uniformly Strict Contractions(1)

Published online by Cambridge University Press:  20 November 2018

Nadim A. Assad
Nadim A. Assad*
Affiliation:
University of Iowa, Iowa City Iowa
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Extract

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In Meir and Keeler [3], the authors proved a fixed point theorem in a complete metric space (X, d) for a mapping f that satisfies the following condition of weakly uniformly strict contraction:

Given ∊ > 0, there exists δ > 0 such that

(A)

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 16 , Issue 1 , March 1973 , pp. 15 - 18
Copyright
Copyright © Canadian Mathematical Society 1973

Footnotes

(1)

This paper is taken from the author's Ph.D. Thesis which was written under the supervision of Professor W. A. Kirk.

References

1. Assad, N. A. and Kirk, W. A., Fixed point theorems for set valued mappings of contractive type Pacific J. Math, (to appear).Google Scholar
2. Boyd, D. W. and Wong, J. S. W., On nonlinear contractions, Proc. Amer. Math. Soc. 20 (1969), 458–464.Google Scholar
3. Keeler, E. and Meir, A.,A theorem on contraction mappings, J. Math. Anal. Appl. 28 (1969), 326–329.Google Scholar