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Fixed Points

1994
Abstract In an Ockham algebra (L;f) the notion of a fixed point f was introduced in Chapter 2 as an element a ∈L such that f(a) = a. Dually, we say that an element x of an Ockham space (X;g) is a fixed point of g if g(x) = x. We shall denote by Fix L [resp. Fix X] the subset of L [resp. X] formed by the fixed points f [resp. g].
T S Blyth, J C Varlet
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Counting Fixed Points

Proceedings of the American Mathematical Society, 1982
In this paper, we develop a machine which enables us to predict, in many cases, the exact number of fixed points of a local diffeomorphism. Though much more general, our technique applies in particular to locally expansive maps on compact, connected, orientable differentiable manifolds.
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Fixed Point Theorems

2008
This article gives statements of the Tarski fixed point theorem and the main versions of the topological fixed point principle that have been ...
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Fixed Points and Openness

Proceedings of the American Mathematical Society, 1961
the importance of the following Problem. Let A : X—*Y be a mapping (not necessarily linear) of a topological space X into a topological space Y. Under what conditions is A (X) open in F? The aim of this paper is to give a particular solution of this problem in the case of mappings A : X—>X of a Banach space X into itself.
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Fixed Point Theorems

1987
An economic system, which consists of a number of relationships among the relevant factors, is modelled as a system of equations or inequalities of certain unknowns, whose solution represents a specific state in which the system settles. This is typically exemplified by the Walrasian competitive economy (Walras, 1874), consisting of the interaction of ...
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Coincidence and fixed points of multivalued F-contractions in generalized metric space with application

Journal of Fixed Point Theory and Applications, 2020
N. Saleem   +3 more
semanticscholar   +1 more source

Subrahmanyam’s fixed point theorem

Nonlinear Analysis: Theory, Methods & Applications, 2009
In this paper, a sufficient and necessary condition for the convergence of the sequence of successive \(\{T^n x\}\) approximations to a fixed point of self mapping \(T\) on a complete metric space \((X, d)\) is given. Some equivalent conditions for the convergence of the sequence of successive \(\{T^n x\}\) approximations to a unique fixed point of ...
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