Results 21 to 30 of about 831,822 (202)
A fixed point theorem revisited [PDF]
Proceedings of the American Mathematical Society, 1988 A version of a theorem commonly referred to as Caristi’s Theorem is given. It has an elementary constructive proof and it includes many generalizations of Banach’s fixed point theorem. Several examples illustrate the diversity that can occur.
T. L. Hicks, Alberta Bollenbacher
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A fixed point theorem and attractors [PDF]
Proceedings of the American Mathematical Society, 1978 We investigate attractors for compact sets by considering a certain quotient space. The following theorem is included. Let f : G → G f:G \to G , G a closed convex subset of a Banach space, f a mapping satisfying (i) there exists M ⊂ G M \subset G which is an ...
J. L. Solomon, Ludvik Janos
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Nadler’s fixed point theorem in ν-generalized metric spaces
Fixed Point Theory and Applications, 2017 We extend Nadler’s fixed point theorem to ν-generalized metric spaces. Through the proof of the above extension, we understand more deeply the mathematical structure of a ν-generalized metric space.
Tomonari Suzuki
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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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Fixed-point-like theorems on subspaces
Fixed Point Theory and Applications, 2004 We prove a fixed-point-like theorem for multivalued mappings defined on the finite Cartesian product of Grassmannian manifolds and convex sets. Our result generalizes two different kinds of theorems: the fixed-point-like theorem by Hirsch et al.
Bernard Cornet, Philippe Bich
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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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A Fixed Point Theorem for Discontinuous Functions [PDF]
SSRN Electronic Journal, 2004 AMS classifications: 54H25, 65K10, 49J53 ...
P. Jean-Jacques Herings +5 more
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A Suzuki Type Fixed-Point Theorem
International Journal of Mathematics and Mathematical Sciences, 2011 We present a fixed-point theorem for a single-valued map in a complete metric space using implicit relation, which is a generalization of several previously stated results including that of Suziki (2008).
Ishak Altun, Ali Erduran
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On some fixed point theorems [PDF]
International Journal of Mathematics and Mathematical Sciences, 1987 In this paper we prove a fixed point theorem for inward mappings uing a well‐known result of Ky Fan type in Hilbert space setting.
S. P. Singh, D. Roux
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Fixed Point Theorem of Ciric-Pata Type
International Journal of Analysis and Applications, 2019 In this article, we proved a fixed point theorem of Ćirić-Pata type in metric space. This result extends several results in the existing literature. Moreover, an example is given in the support of our result.
Ao-Lei Sima, Fei He, Ning Lu
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