منابع مشابه
On Nonlinear Contractions
where \p is some function defined on the closure of the range of p. In [3], Rakotch proved that if \p(t) =ct(t)t, where a is decreasing and a(t) <1 for i>0, then a mapping satisfying (3) has a unique fixed point x0. It is an easy exercise to show that if \p(t) =a(t)t, where a is increasing, and a(/)<l for t^O, then the conclusion of Banach's theorem still holds. We shall show that one need only...
متن کاملNonlinear Summation of Contractions in Cat Muscles
The force produced by cat muscles over time with two stimuli separated by a short interval is approximately three times that produced by a twitch of cat muscles. This facilitation of force production by a second stimulus involves both increases in magnitude and duration of the contraction. Increased magnitude is relatively more important in the fast-twitch plantaris muscle, whereas increased du...
متن کاملNonlinear Summation of Contractions in Cat Muscles
The force produced by cat muscles over time with two stimuli separated by a short interval is approximately three times that produced by a twitch of cat muscles. This facilitation of force production by a second stimulus involves both increases in magnitude and duration of the contraction. Increased magnitude is relatively more important in the fast-twitch plantaris muscle, whereas increased du...
متن کاملQuadruple fixed point theorems for nonlinear contractions
The notion of coupled fixed point is introduced by Gnana-Bhaskar and Lakshmikantham. Very recently, the concept of tripled fixed point was introduced by Berinde and Borcut. In this manuscript, a quadruple fixed point is considered and some new related fixed point theorems are obtained. We also give some examples to illustrate our results. © 2012 Elsevier Ltd. All rights reserved.
متن کاملAsymptotic Fixed Points for Nonlinear Contractions
There are many papers in the literature that discuss the asymptotic fixed point theory, in which the existence of the fixed points is deduced from the assumption on the iterates of an operator (e.g., [1, 6] and the references therein). Recently, Kirk [5] studied an asymptotic fixed point theorem concerning nonlinear contractions. He proved the following theorem [5, Theorem 2.1] by appealing to ...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1969
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1969-0239559-9