Results 1 to 10 of about 831,822 (202)
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 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
A fixed-point theorem for mappings
Journal of Mathematical Analysis and Applications, 1968 Alexander Abian
openalex +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.
Man Kam Kwong
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
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
Communications, Faculty Of Science, University of Ankara Series A1Mathematics and Statistics, 1984 The authors' main result is the following: Let (X,d) be a complete metric space and \(f: X\to X\) a self-mapping. If for x,y\(\in X\) and \(p>0\) the inequality \[ d(T^{2p}x,T^{2p}y)\leq a_ 1d(T^ px,T^{2p}x)+a_ 2d(T^ py,T^{2p}y)+a_ 3d(T^ px,T^ py) \] with \(a_ 1,a_ 2,a_ 3\geq 0\) and \(a_ 1+a_ 2+a_ ...
M. D. Khan, M. S. Khan
openaire +7 more sources
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