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Fixed Points Via "Biased Maps"
G. Jungck and H. K. Pathak
Proceedings of the American Mathematical Society
Vol. 123, No. 7 (Jul., 1995), pp. 2049-2060
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/2160940
Page Count: 12
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A generalization of compatible maps called "biased maps" is introduced and used to prove fixed point theorems for Meir-Keeler type contractions involving four maps. Extensions of known results are thereby obtained. In particular, a theorem by Kang and Rhoades is generalized.
Proceedings of the American Mathematical Society © 1995 American Mathematical Society