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Dynamics and Bifurcation of $x_{n+1}=\frac{\alpha+\beta x_{n-2}}{A+Bx_{n}+C x_{n-2}}$
Journal of Mathematical Sciences and Modelling, 2021 In this paper, we study dynamics and bifurcation of the third order rational difference equation \begin{eqnarray*} x_{n+1}=\frac{\alpha+\beta x_{n-2}}{A+Bx_{n}+Cx_{n-2}}, ~~n=0, 1, 2, \ldots \end{eqnarray*} with positive parameters $\alpha, \beta, A, B ...
Mohammad Saleh, Batool Raddad
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Proceedings of the American Mathematical Society, 1956 Suppose that space is metric. A chain is a finite collection of open sets d1, d2, * * * , dn such that di intersects dj if and only if I i-jj I 1. If the elements of a chain are of diameter less than a positive number e, that chain is said to be an e-chain.
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Weakly Compatible Maps and Fixed Points [PDF]
Mathematics Interdisciplinary Research, 2021 Here, the existence of fixed points for weakly compatible maps is studied. The results are new generalization of the results of [5]. Finally, we study the new common fixed point theorems.
Mosa Shahsavari +2 more
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Fixed points as Nash equilibria
Fixed Point Theory and Applications, 2006 The existence of fixed points for single or multivalued mappings is obtained as a corollary of Nash equilibrium existence in finitely many players games.
Juan Pablo Torres-Martínez
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Fixed points and self-reference
International Journal of Mathematics and Mathematical Sciences, 1984 It is shown how Gödel's famous diagonal argument and a generalization of the recursion theorem are derivable from a common construation. The abstract fixed point theorem of this article is independent of both metamathematics and recursion theory and is ...
Raymond M. Smullyan
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Journal of Mathematical Analysis and Applications, 1992 The author considers semicompact 1-set contraction mappings from \(P\) to \(P\), where \(P\) is a cone in a Banach space \(X\). Using the fixed point index, under suitable additional assumptions about the considered mappings, he obtains existence of positive fixed points.
Luiz Augusto da Costa Ladeira +1 more
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Are corresponding points fixed? [PDF]
Vision Research, 2001 Several investigators have claimed that the retinal coordinates of corresponding points shift with vergence eye movements. Two kinds of shifts have been reported. First, global shifts that increase with retinal eccentricity; such shifts would cause a flattening of the horopter at all viewing distances and would facilitate fusion of flat surfaces ...
Martin S. Banks, James M. Hillis
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Fixed Point Theory and Applications, 2007 The purpose of this paper is to present several existence and data dependence results of the fixed points of some multivalued generalized contractions in complete metric spaces. As for application, a continuation result is given.
Cristian Chifu, Gabriela Petruşel
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Existence of almost fixed points for random operators with application in game theory
Results in Nonlinear Analysis, 2020 We introduce the notion of the random ε-fixed point for random operators. Then we prove some existence theorems in order to apply this results in game theory for example we will prove existence of ε-random Nash equilibrium in some class of random games ...
Oskar Górniewicz
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Fixed Points for w-Contractive Multimaps
International Journal of Mathematics and Mathematical Sciences, 2009 Using the generalized Caristi's fixed point theorems we prove the existence of fixed points for self and nonself multivalued weakly w-contractive maps.
Abdul Latif, Marwan A. Kutbi
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