Results 1 to 10 of about 52,043 (285)
Proceedings of the American Mathematical Society, 1956 Suppose that space is metric. A chain is a finite collection of open sets d1, d2, * * * , dn such that di intersects dj if and only if I i-jj I 1. If the elements of a chain are of diameter less than a positive number e, that chain is said to be an e-chain.
Eldon Dyer
+4 more sources
Fixed-point-like theorems on subspaces [PDF]
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. (1990) or Husseini et al.
Bich, Philippe, Cornet, Bernard
doaj +8 more sources
On Krasnoselskii's Cone Fixed Point Theorem
Fixed Point Theory and Applications, 2008 In recent years, the Krasnoselskii fixed point theorem for cone maps and its many generalizations have been successfully applied to establish the existence of multiple solutions in the study of boundary value problems of various types.
Man Kam Kwong
doaj +2 more sources
A Fixed Point Theorem for Discontinuous Functions [PDF]
SSRN Electronic Journal, 2004 AMS classifications: 54H25, 65K10, 49J53 ...
P. Jean-Jacques Herings +5 more
openaire +15 more sources
A uniqueness theorem for fixed points [PDF]
Proceedings of the American Mathematical Society, 1980 In a recent paper, R. Kellogg [3] showed that if F : D ¯ → D ¯ F:\bar D \to \bar D is a completely continuous map of the closure of a bounded, convex, open set D in a real Banach space X, F
Smith, H. L., Stuart, Charles Alexander
openaire +3 more sources
New Applications of Perov’s Fixed Point Theorem
Mathematics, 2022 The goal of this paper is to consider a differential equation system written as an interesting equivalent form that has not been used before. Using Perov’s fixed point theorem in generalized metric spaces, the existence and uniqueness of the solution are
Sorin Mureşan +2 more
doaj +1 more source
On a Fixed Point Theorem of Kirk [PDF]
Proceedings of the American Mathematical Society, 1995 Let X be a reflexive Banach space, D an open and bounded subset of X, and T : D ¯ → X T:\bar D \to X a continuous mapping which is locally pseudocontractive on D.
Claudio H. Morales, Simba A. Mutangadura
openaire +1 more source
Caristi’s Fixed Point Theorem and Subrahmanyam’s Fixed Point Theorem in ν-Generalized Metric Spaces
Journal of Function Spaces, 2015 We discuss the completeness of ν-generalized metric spaces in the sense of Branciari. We also prove generalizations of Subrahmanyam’s and Caristi’s fixed point theorem.
Badriah Alamri +2 more
doaj +1 more source
Generalization of Rakotch's fixed Point Theorem
Revista de Matemática: Teoría y Aplicaciones, 2011 In this paper we get some generalizations of Rakotch's results [10] using the notion of $\omega ?distancia$ on a metric ...
José R. Morales
doaj +1 more source
Mathematics, 2018 In this paper, we first establish a new fixed point theorem that generalizes and unifies a number of well-known fixed point results, including the Banach contraction principle, Kannan’s fixed point theorem, Chatterjea fixed point theorem, Du ...
Wei-Shih Du +2 more
doaj +1 more source