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Almost fixed point theorems [PDF]
Proceedings of the American Mathematical Society, 1988 A closed cover version of Hazewinkel and van de Vel’s theorem on the existence of γ \gamma -almost fixed points for set-valued functions and for real Hausdorff topological vector spaces is proved. Generalizations of well-known fixed point theorems of the Schauder-Tychonoff type are presented.
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Browder and Göhde fixed point theorem for monotone nonexpansive mappings
, 2016 Let X be a Banach space or a complete hyperbolic metric space. Let C be a nonempty, bounded, closed, and convex subset of X and T:C→C$T: C \rightarrow C$ be a monotone nonexpansive mapping.
B. A. Bin Dehaish, M. Khamsi
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Duan's fixed point theorem: proof and generalization
Fixed Point Theory and Applications, 2006 Let X be an H-space of the homotopy type of a connected, finite CW-complex, f:X→X any map and p k :X→X the k th power map. Duan proved that p k f :X→X has a fixed point if k≥2 .
Martin Arkowitz
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Solution of Volterra integral inclusion in b-metric spaces via new fixed point theorem
Nonlinear Analysis, 2017 An existence theorem for Volterra-type integral inclusion is establish in b-metric spaces. We first introduce two new F-contractions of Hardy–Rogers type and then establish fixed point theorems for these contractions in the setting of b-metric spaces ...
Muhammad Usman Ali +2 more
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Existence of positive solutions for higher order three-point boundary value problems on time scales [PDF]
, 2018 In this paper, by using the four functionals fixed point theorem, Avery-Henderson fixed point theorem and the five functionals fixed point theorem, respectively, we investigate the conditions for the existence of at least one, two and ...
Yaslan, İsmail
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Banach fixed point theorem from the viewpoint of digital topology
, 2016 The present paper studies the Banach contraction principle for digital metric spaces such as digital intervals, simple closed k-curves, simple closed 18-surfaces and so forth.
Sang-Eon Han
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Schauder’s fixed-point theorem in approximate controllability problems
International Journal of Applied Mathematics and Computer Sciences, 2016 The main objective of this article is to present the state of the art concerning approximate controllability of dynamic systems in infinite-dimensional spaces.
A. Babiarz, J. Klamka, M. Niezabitowski
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Approximate fixed point theorems [PDF]
Scientific Annals of the A.I.I. Cuza University, 2001 The authors discuss weakenings of the conditions in the fixed point theorems of Brouwer, Kakutani and Banach which still guarantee the existence of approximate fixed points.
TORRE, ANNA, Tijs S., Brânzei R.
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Fixed Point Theorems in Neutrosophic Fuzzy Metric Space and a Characterization to its Completeness [PDF]
Neutrosophic Sets and SystemsThe present research work aims to establish some basic conventional fixed point theorems such as the Banach fixed point theorem, Edelstein fixed point theorem and Kannan fixed point theorem, for a recently introduced topological space, known as the ...
Samriddhi Ghosh +3 more
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Handel's fixed point theorem revisited
, 2012 Michael Handel proved in [7] the existence of a fixed point for an orientation preserving homeomorphism of the open unit disk that can be extended to the closed disk, provided that it has points whose orbits form an oriented cycle of links at infinity ...
Brown +4 more
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