Results 61 to 70 of about 58,433 (206)
FIXED POINT THEOREM FOR MULTIFUNCTIONS
Demonstratio Mathematica, 1984 This paper proves a fixed point theorem for multifunctions by the Ekeland variational principle. As an application a theorem of Lusternik is reobtained, but the argument seems not entirely correct. Using the author's notation, the following counterexample may be considered: \(X=Y\), \(H(x)=x\), \(u=x\), \(T=I\), \(x_ 0=0\). Then p is arbitrary positive,
openaire +2 more sources
The complexity of Tarski’s fixed point theorem
Theoretical Computer Science, 2008 The Knaster-Tarski theorem says that for every complete lattice \(L\), every order-preserving mapping \(f:L\to L\) has a fixed point. This paper studies the query complexity of this problem. The authors present an algorithm that, for a given complete finite lattice \(L\) and an order-preserving mapping \(f\) of \(L\) given by an oracle, finds a fixed ...
Ching-Lueh Chang +2 more
openaire +2 more sources
The Brouwer Fixed Point Theorem Revisited [PDF]
, 2016 We revisit the investigation of the computational content of the Brouwer Fixed Point Theorem in [7], and answer the two open questions from that work. First, we show that the computational hardness is independent of the dimension, as long as it is greater than 1 (in [7] this was only established for dimension greater than 2).
Vasco Brattka +3 more
openaire +2 more sources
Nonlinear Inequality, Fixed Point and NashEquilibrium [PDF]
In this paper, we give new sufficient conditions for the existence of a solution of theg-maximum equality. As a consequence, we prove a new fixed point theorem.
Moussa Larbani +2 more
core
Mizoguchi–Takahashi’s type fixed point theorem [PDF]
, 2008 Recently, Eldred [A.A. Eldred, J. Anuradha, P. Veeramani, On equivalence of generalized multi-valued contactions and Nadler’s fixed point theorem, J. Math. Anal. Appl. (2007) doi:10.1016/j.jmaa.2007.01.087] claimed that Nadler’s [S.B.
Tayyab Kamran, Kamran, Tayyab
core +1 more source
A Generalization of Kannan's Fixed Point Theorem
Fixed Point Theory and Applications, 2009 In order to observe the condition of Kannan mappings, we prove a generalization of Kannan's fixed point theorem. Our theorem involves constants and we obtain the best constants to ensure a fixed point.
Yusuke Enjouji +2 more
doaj +1 more source
Remarks on Separation of Convex Sets, Fixed-Point Theorem, and Applications in Theory of Linear Operators [PDF]
, 2007 Some properties of the linear continuous operator and separation of convex subsets are investigated in this paper and a dual space for a subspace of a reflexive Banach space with a strictly convex norm is constructed.
Soltanov, Kamal N. +3 more
core +1 more source
A Discrete Multivariate Mean Value Theorem with Applications [PDF]
AMS classifications: 47H10; 54H25; 55M20; 90C33; 91B50Discrete set;mean value theorem;fixed point;algorithm;equilibrium ...
Yang, Z.F., Talman, A.J.J.
core +1 more source
On generalized coupled fixed points with applications to the solvability of coupled systems of nonlinear quadratic integral equations [PDF]
, 2018 In this paper, we introduce the notion of generalized coupled fixed points and, as a consequence of Darbo’s fixed point theorem associated to an abstract measure of noncompactness, we present a result about the existence of this class of coupled fixed ...
Darwish, Mohamed Abdalla +1 more
core +1 more source
A New Fixed Point Theorem and Applications
Abstract and Applied Analysis, 2013 A new fixed point theorem is established under the setting of a generalized finitely continuous topological space (GFC-space) without the convexity structure. As applications, a weak KKM theorem and a minimax inequalities of Ky Fan type are also obtained
Min Fang, Xie Ping Ding
doaj +1 more source