Results 1 to 10 of about 1,104,947 (264)
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
On Tarski's fixed point theorem [PDF]
Proceedings of the American Mathematical Society, 2014 A concept of abstract inductive definition on a complete lattice is formulated and studied. As an application, a constructive and predicative version of Tarski's fixed point theorem is obtained.Comment: Proc. Amer. Math.
Curi, Giovanni
core +4 more sources
A fixed point theorem of the alternative, for contractions on a generalized complete metric space [PDF]
, 1968 1. Summary. The purpose of this note is to prove a "theorem of the alternative" for any "contraction mapping" T on a "generalized complete metric space" X.
J. B. Díaz, Beatriz Margolis
semanticscholar +2 more sources
On a fixed point theorem of Greguš [PDF]
International Journal of Mathematics and Mathematical Sciences, 1986 We consider two selfmaps T and I of a closed convex subset C of a Banach space X which are weakly commuting in X, i.e.‖TIx−ITx‖≤‖Ix−Tx‖ for any x in X,and satisfy the inequality‖Tx−Ty‖≤a‖Ix−Iy‖+(1−a)max{‖Tx−Ix‖,‖Ty−Iy‖}for all x, y in C, where ...
Brian Fisher, Salvatore Sessa
doaj +5 more sources
On a fixed point theorem of Pathak [PDF]
International Journal of Mathematics and Mathematical Sciences, 1991 It is shown that the continuity of the mapping in Pathak's fixed point theorem for normed spaces is not necessary.
Brian Fisher
doaj +3 more sources
Fixed point theorem for mappings contracting perimeters of triangles [PDF]
Journal of Fixed Point Theory and Applications, 2023 We consider a new type of mappings in metric spaces which can be characterized as mappings contracting perimeters of triangles. It is shown that such mappings are continuous.
E. Petrov
semanticscholar +1 more source
A fixed-point theorem for mappings
Journal of Mathematical Analysis and Applications, 1968 Alexander Abian
openaire +3 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.
Kwong ManKam
doaj +2 more sources
Communications, Faculty Of Science, University of Ankara Series A1Mathematics and Statistics, 1988 Let \(f\) be an orbitally continuous self-mapping of a complete metric space \((X,d)\). In this note, a fixed point theorem is proved for the mapping \(f\) satisfying contractive conditions which are combinations of various distances between distinct points \(x\), \(y\), \(fx\), and \(fy\) from \(X\).
M. R. Singh, A. K. Chatterjee
openaire +2 more sources
A converse to Banach's fixed point theorem and its CLS-completeness [PDF]
Symposium on the Theory of Computing, 2017 Banach's fixed point theorem for contraction maps has been widely used to analyze the convergence of iterative methods in non-convex problems. It is a common experience, however, that iterative maps fail to be globally contracting under the natural ...
C. Daskalakis +2 more
semanticscholar +1 more source