Results 61 to 70 of about 1,116,652 (248)
A note on fixed-point theorems
Journal of Approximation Theory, 1982 AbstractIn an earlier note, S. P. Singh gave an extension of a theorem of Brosowski in a normed linear space setting. Variants of this theorem are considered in the context of strictly convex, reflexive, and inner product spaces.
M.D Humphries, T.L Hicks
openaire +2 more sources
The Existence of Cone Critical Point and Common Fixed Point with Applications
Journal of Applied Mathematics, 2011 We first establish some new critical point theorems for nonlinear dynamical systems in cone metric spaces or usual metric spaces, and then we present some applications to generalizations of Dancš-Hegedüs-Medvegyev's principle and the existence theorem ...
Wei-Shih Du
doaj +1 more source
New generalizations of Darbo’s fixed point theorem
, 2015 In this paper, we propose a new idea to investigate the important basic problem: how to extend Darbo’s fixed point theorem? We establish some new generalizations of Darbo’s fixed point theorem by using ‘integral conditions’.
Longsheng Cai, Jin Liang
semanticscholar +1 more source
A Lefschetz fixed point theorem in gravitational lensing
, 2007 Topological invariants play an important r\^{o}le in the theory of gravitational lensing by constraining the image number. Furthermore, it is known that, for certain lens models, the image magnifications $\mu_i$ obey invariants of the form $\sum_i \mu_i ...
Werner, Marcus C.
core +1 more source
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.
openaire +1 more source
, 2015 In this paper, we introduce new methods for solving the vacuum Einstein constraints equations: the first one is based on Schaefer's fixed point theorem (known methods use Schauder's fixed point theorem) while the second one uses the concept of half ...
Cang, Nguyen The
core +1 more source
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
openaire +2 more sources
A fixed point theorem for analytic functions
Fixed Point Theory and Applications, 2005 We prove that each analytic self-map of the open unit disk which interpolates between certain -tuples must have a fixed point.
Matache Valentin
doaj +2 more sources
A selection and a fixed point theorem and an equilibrium point of an abstract economy
International Journal of Mathematics and Mathematical Sciences, 1995 A selection theorem and a fixed point theorem are proved. The fixed point theorem is then applied to prove the existence of an equilibrium point of an abstract economy.
T. Husain, E. Tarafdar
doaj +1 more source
Fixed Point Theorem for Uncommuting Mappings
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2017 In this paper we prove a theorem about the existence and uniqueness common fixed point for two uncommenting self-mappings which defined on orbitally complete G-metric space. Where we use a general contraction condition.
Salwa S. Abd, Alaa Abd-ullah
doaj