Fixed point theorems in topological spaces
Lj. Ćirić (1975)
Fundamenta Mathematicae
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Lj. Ćirić (1975)
Fundamenta Mathematicae
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Víctor García, Helga Nathansky (2010)
Annales UMCS, Mathematica
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In this paper we give new estimates for the Lipschitz constants of n-periodic mappings in Hilbert spaces, in order to assure the existence of fixed points and retractions on the fixed point set.
Kabe, D.G. (1979)
Portugaliae mathematica
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Miodrag Mišić (1997)
Publications de l'Institut Mathématique
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Victor Perez Garcia, Helga Fetter Nathansky (2010)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica
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In this paper we give new estimates for the Lipschitz constants of n-periodic mappings in Hilbert spaces, in order to assure the existence of fixed points and retractions on the fixed point set.
Wong, James S.W. (1967)
Portugaliae mathematica
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Michal Fečkan, Richard Kollár (1999)
Applications of Mathematics
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The Leray-Schauder degree is extended to certain multi-valued mappings on separable Hilbert spaces with applications to the existence of weak periodic solutions of discontinuous semilinear wave equations with fixed ends.
Talat Nazir, Sergei Silvestrov, Mujahid Abbas (2016)
Waves, Wavelets and Fractals
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The aim of this paper is to construct a fractal with the help of a finite family of F− contraction mappings, a class of mappings more general than contraction mappings, defined on a complete metric space. Consequently, we obtain a variety of results for iterated function systems satisfying a different set of contractive conditions. Some examples are presented to support the results proved herein. Our results unify, generalize and extend various results in the existing literature. ...
Lj.B. Ciric (1980)
Publications de l'Institut Mathématique [Elektronische Ressource]
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Marwan Amin Kutbi, Wutiphol Sintunavarat (2016)
Open Mathematics
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The aim of this paper is to introduce the concept of a new nonlinear multi-valued mapping so called weakly (α, ψ, ξ)-contractive mapping and prove fixed point results for such mappings in metric spaces. Our results unify, generalize and complement various results from the literature. We give some examples which support our main results while previous results in literature are not applicable. Also, we analyze the existence of fixed points for mappings satisfying a general contractive...
R. Kannan (1972)
Fundamenta Mathematicae
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