Results 11 to 20 of about 498 (73)
Fixed point and coupled fixed point theorems on b-metric-like spaces
, 2013 We first introduce the concept of b-metric-like space which generalizes the notions of partial metric space, metric-like space and b-metric space. Then we establish the existence and uniqueness of fixed points in a b-metric-like space as well as in a ...
M. Alghamdi, N. Hussain, P. Salimi
semanticscholar +1 more source
Fixed point results in dislocated quasi metric spaces
, 2014 The aim of this article is to prove some fixed point theorems in the context of dislocated quasi metric spaces. We have established a new fixed point theorem in complete dislocated quasi metric space using some new type of rationl contraction conditions.
M. Rahman, M. Sarwar
semanticscholar +1 more source
A fixed point theorem for the infinite-dimensional simplex [PDF]
, 2006 We define the infinite dimensional simplex to be the closure of the convex hull of the standard basis vectors in R^infinity, and prove that this space has the 'fixed point property': any continuous function from the space into itself has a fixed point ...
Bessaga +11 more
core +3 more sources
, 2012 We prove practical formulas for the Reidemeister coincidence number, the Lefschetz coincidence number and the Nielsen coincidence number of continuous maps between oriented infra-nilmanifolds of equal dimension.
K. Ha, Jong Bum Lee, P. Penninckx
semanticscholar +1 more source
Connectivity properties for subspaces of function spaces determined by fixed points
Abstract and Applied Analysis, Volume 2003, Issue 2, Page 121-128, 2003., 2003 We study the topology of a subspace of the function space of continuous self‐mappings of a given manifold: the subspace determined by maps having the least number of fixed points in its homotopy class. In the case that the manifold is a closed disk of finite dimension, we prove that this subspace is both globally and locally path connected.
Daciberg L. Gonçalves, Michael R. Kelly
wiley +1 more source
ANY CYCLIC QUADRILATERAL CAN BE INSCRIBED IN ANY CLOSED CONVEX SMOOTH CURVE
Forum of Mathematics, Sigma, 2018 We prove that any cyclic quadrilateral can be inscribed in any closed convex $C^{1}$ -curve. The smoothness condition is not required if the quadrilateral is a rectangle.
ARSENIY AKOPYAN, SERGEY AVVAKUMOV
doaj +1 more source
A Combinatorial Analog of a Theorem of F.J.Dyson [PDF]
, 2009 Tucker's Lemma is a combinatorial analog of the Borsuk-Ulam theorem and the case n=2 was proposed by Tucker in 1945. Numerous generalizations and applications of the Lemma have appeared since then.
Jayawant, Pallavi, Wong, Peter
core +2 more sources
Fixed point theory for the cyclic weaker Meir-Keeler function in complete metric spaces
, 2012 In this article, we introduce the notions of cyclic weaker ϕ ○ φ-contractions and cyclic weaker (ϕ, φ)-contractions in complete metric spaces and prove two theorems which assure the existence and uniqueness of a fixed point for these two types of ...
Chi-Ming Chen
semanticscholar +1 more source
Revisiting Cauty′s proof of the Schauder conjecture
Abstract and Applied Analysis, Volume 2003, Issue 7, Page 407-433, 2003., 2003 The Schauder conjecture that every compact convex subset of a metric linear space has the fixed‐point property was recently established by Cauty (2001). This paper elaborates on Cauty′s proof in order to make it more detailed, and therefore more accessible.
Tadeusz Dobrowolski
wiley +1 more source
Some generalizations of Mizoguchi-Takahashi’s fixed point theorem with new local constraints
Fixed Point Theory and Applications, 2007 In this paper, motivated by Kikkawa-Suzuki’s fixed point theorem, we establish some new generalizations of Mizoguchi-Takahashi’s fixed point theorem with new local constraints on discussion maps. MSC:47H10, 54C60, 54H25, 55M20.
Wei-Shih Du, F. Khojasteh, Yung-Nan Chiu
semanticscholar +2 more sources