Fixed points of asymptotic contractions |
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Authors: | WA Kirk |
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Institution: | Department of Mathematics, The University of Iowa, Iowa City, IA 52242-1419, USA |
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Abstract: | Let be a contractive gauge function in the sense that φ is continuous, φ(s)<s for s>0, and if f:M→M satisfies d(f(x),f(y))?φ(d(x,y)) for all x,y in a complete metric space (M,d), then f always has a unique fixed point. It is proved that if T:M→M satisfies |
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Keywords: | Contraction mappings Asymptotic contractions Fixed points Approximate fixed points |
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