Results 51 to 60 of about 1,116,652 (248)
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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, 1952 : Kakutani's Fixed Point Theorem states that in Euclidean n-space a closed point to (non-void) convex set map of a convex compact set into itself has a fixed point. Kakutani showed that this implied the minimax theorem for finite games.
I. Glicksberg
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New fixed point theorem under R-contractions
, 2015 In this manuscript we introduce the notions of R-function and R-contractions, and we show an ad hoc fixed point theorem. We prove that this new kind of contractions properly includes the family of all Meir-Keeler contractions and other well-known classes
A. F. Roldán López de Hierro +1 more
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Functional compression-expansion fixed point theorem
Electronic Journal of Differential Equations, 2008 This paper presents a generalization of the fixed point theorems of compression and expansion of functional type. As an application, the existence of a positive solution to a second order conjugate boundary value problem is considered. We conclude
Donal O'regan +2 more
doaj
Some Generalizations of Jungck's Fixed Point Theorem
International Journal of Mathematics and Mathematical Sciences, 2012 We are going to generalize the Jungck's fixed point theorem for commuting mappings by mean of the concepts of altering distance functions and compatible pair of mappings, as well as, by using contractive inequalities of integral type and contractive ...
J. R. Morales, E. M. Rojas
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A FIXED POINT THEOREM FOR ASYMPTOTICALLY NONEXPANSIVE MAPPINGS
, 1972 Let K be a subset of a Banach space X. A mapping F.K-+KI& said to be asymptotically nonexpansive if there exists a sequence {ki} of real numbers with £?-+1 as /'-►co such that WF'x—F'yW^kiWx—yW, yE K.
K. Goebel, W. A. Kirk
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Partial metric spaces with negative distances and fixed point theorems [PDF]
, 2015 In this paper we consider partial metric spaces in the sense of O'Neill. We introduce the notions of strong partial metric spaces and Cauchy functions.
Assaf, Samer, Pal, Koushik
core
On a fixed point theorem of Kirk
Journal of Mathematical Analysis and Applications, 2005 AbstractW.A. Kirk [J. Math. Anal. Appl. 277 (2003) 645–650] first introduced the notion of asymptotic contractions and proved the fixed point theorem for this class of mappings. In this note we present a new short and simple proof of Kirk's theorem.
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Fixed Point Theorem on Multi-valued Mappings
International Journal of Analysis and Applications, 2013 In this paper, we prove a common fixed pointtheorem for two multivalued self-mappings in complete metric spaces.
J.Maria Joseph, E. Ramganesh
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A Fixed Point Theorem For Generalized Weak Contractions
, 2015 A fixed point theorem for a generalized weak contractive map in a metric space is proven by generalizing some recent results of Đoric [4, Theorem 2.2], Zhang and Song [28, Corollary 2.2] and others .
M. Sen, S. Singh, Raj Kamal, Renu Chugh
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