Results 51 to 60 of about 58,433 (206)

A fixed point theorem for contraction mappings

International Journal of Mathematics and Mathematical Sciences, 1982
Let S be a closed subset of a Banach space E and f:S→E be a strict contraction mapping. Suppose there exists a mapping h:S→(0,1] such that (1−h(x))x+h(x)f(x)∈S for each x∈S. Then for any x0∈S, the sequence {xn} in S defined by xn+1=(1−h(xn))xn+h(xn)f(xn),
V. M. Sehgal
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On the Lefschetz Fixed Point Theorem [PDF]

, 2005
The abstract version of the Lefschetz fixed point theorem is proved which states the following: If \(X\) is a metric space and if \(X_0\subset X\) is such that \(X_0\) absorbs compact sets, \(f\:X\to X\) is a continuous map, \(f(X_0) \subset X_0\) and \(f/X_0\) is a Lefschetz map, then \(f\) is also (on \(X\)) a Lefschetz map. Here a continuous map \(f\
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Fixed Point Theorems on Partial Randomness [PDF]

Annals of Pure and Applied Logic, 2008
In our former work [K. Tadaki, Local Proceedings of CiE 2008, pp.425-434, 2008], we developed a statistical mechanical interpretation of algorithmic information theory by introducing the notion of thermodynamic quantities at temperature T, such as free energy F(T), energy E(T), and statistical mechanical entropy S(T), into the theory.
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Fixed Point Theorem for Uncommuting Mappings

Ibn Al-Haitham Journal for Pure and Applied Sciences, 2017
   In this paper we prove a theorem about the existence and uniqueness common fixed point for two uncommenting self-mappings which defined on orbitally complete G-metric space. Where we use a general contraction condition.  
Salwa S. Abd, Alaa Abd-ullah
doaj  

Fixed Point Theorem in Fuzzy Metric Space

Fuzzy Optimization and Modeling
In this present work, we prove fixed point theorem for contractive mapping F: X--X in fuzzy metric spaces that have a nonempty F− invariant complete subspace E, then prove the uniqueness the fixed point in E.
Samaneh Ghods
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A selection and a fixed point theorem and an equilibrium point of an abstract economy

International Journal of Mathematics and Mathematical Sciences, 1995
A selection theorem and a fixed point theorem are proved. The fixed point theorem is then applied to prove the existence of an equilibrium point of an abstract economy.
T. Husain, E. Tarafdar
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Approximation Theorems and Fixed Point Theorem in Cones [PDF]

Proceedings of the American Mathematical Society, 1988
In this paper, we investigate the validity of an interesting theorem of Fan [ 3 , Theorem 2] in cones. We prove that it is true for a continuous condensing map defined on a closed ball in cones.
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Some fixed point theorems for discontinuous mappings [PDF]

This paper provides a fixed point theorem à la Schauder, where the mappings considered are possibly discontinuous. Our main result generalizes and unifies several well-known results.Schauder fixed point theorem, Brouwer fixed point theorem, discontinuity.
Philippe Bich
core  

A Short And Constructive Proof of Tarski's Fixed-Point Theorem [PDF]

I give short and constructive proofs of Tarski's fixed-point theorem, and of a much-used extension of Tarski's fixed-point theorem to set- valued maps.tarski, fixed-point theorem, supermodular, supermodular games, strategic complementarities, equilibrium
Federico Echenique
core  

A fixed point theorem for multivalued mappings

Electronic Journal of Qualitative Theory of Differential Equations, 2004
A generalization of the Leray-Schauder principle for multivalued mappings is given. Using this result, an existence theorem for an integral inclusion is obtained.
C. Avramescu
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