The fixed point index for accretive mapping with -set contraction perturbation in cones.
Chen, Yuqing (1996)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “On calculation of the relative index of a fixed point in the nondegenerate case.”
The fixed point index for accretive mapping with -set contraction perturbation in cones.
A dual of the compression-expansion fixed point theorems.
Avery, Richard, Henderson, Johnny, O'Regan, Donal (2007)
Fixed Point Theory and Applications [electronic only]
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Index pairs and the fixed point index for semidynamical systems with discrete time
Marian Mrozek (1989)
Fundamenta Mathematicae
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Remarks on separation of convex sets, fixed-point theorem, and applications in theory of linear operators.
Soltanov, Kamal N. (2007)
Fixed Point Theory and Applications [electronic only]
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Multiplicity results for sign-changing solutions of an operator equation in ordered Banach space
Xian Xu, Bingjin Wang (2009)
Mathematica Bohemica
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In this paper, we prove some multiplicity results for sign-changing solutions of an operator equation in an ordered Banach space. The methods to show the main results of the paper are to associate a fixed point index with a strict upper or lower solution. The results can be applied to a wide variety of boundary value problems to obtain multiplicity results for sign-changing solutions.
On rest points of dynamical systems
Roman Srzednicki (1985)
Fundamenta Mathematicae
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Positive fixed point of strict set contraction operators on ordered Banach spaces and applications.
Feng, Meiqiang, Zhang, Xuemei, Ge, Weigao (2010)
Abstract and Applied Analysis
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On coincidence index for multivalued perturbations of nonlinear Fredholm maps and some applications.
Obukhovskii, Valeri, Zecca, Pietro, Zvyagin, Victor (2002)
Abstract and Applied Analysis
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Furi–Pera fixed point theorems in Banach algebras with applications
Smaïl Djebali, Karima Hammache (2008)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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In this work, we establish new Furi–Pera type fixed point theorems for the sum and the product of abstract nonlinear operators in Banach algebras; one of the operators is completely continuous and the other one is -Lipchitzian. The Kuratowski measure of noncompactness is used together with recent fixed point principles. Applications to solving nonlinear functional integral equations are given. Our results complement and improve recent ones in [10], [11], [17].
The coincidence index for fundamentally contractible multivalued maps with nonconvex values
Dorota Gabor (2000)
Annales Polonici Mathematici
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We study a coincidence problem of the form A(x) ∈ ϕ (x), where A is a linear Fredholm operator with nonnegative index between Banach spaces and ϕ is a multivalued A-fundamentally contractible map (in particular, it is not necessarily compact). The main tool is a coincidence index, which becomes the well known Leray-Schauder fixed point index when A=id and ϕ is a compact singlevalued map. An application to boundary value problems for differential equations in Banach spaces is given. ...