Results 51 to 60 of about 3,043 (168)
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
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
Maps on graphs can be deformed to be coincidence-free [PDF]
, 2010 We give a construction to remove coincidence points of continuous maps on graphs (1-complexes) by changing the maps by homotopies. When the codomain is not homeomorphic to the circle, we show that any pair of maps can be changed by homotopies to be ...
Staecker, P. Christopher
core +2 more sources
On the Fixed Point Results for the Suzuki‐Type Multivalued δ‐Contractions
Journal of Function Spaces, Volume 2025, Issue 1, 2025.In this study, we prove the existence of a fixed point for a Suzuki‐type δ‐contraction, which is a generalization of the δ‐contraction and weak δ‐contraction mappings. We prove a fixed point theorem for multivalued mappings satisfying a Suzuki‐type δ‐contraction in complete fuzzy metric spaces. Furthermore, we prove some several fixed point results for
Müzeyyen Sangurlu Sezen +6 more
wiley +1 more source
, 2014 In this paper, we first present some elementary results concerning cone metric spaces over Banach algebras. Next, by using these results and the related ones about c-sequence on cone metric spaces we obtain some new fixed point theorems for the ...
Shaoyuan Xu, S. Radenović
semanticscholar +1 more source
Existence results for ABC-fractional BVP via new fixed point results of F-Lipschitzian mappings
Demonstratio Mathematica, 2022 In this article, fixed point results for self-mappings in the setting of two metrics satisfying FF-lipschitzian conditions of rational-type are proved, where FF is considered as a semi-Wardowski function with constant τ∈R\tau \in {\mathbb{R}} instead of ...
Mehmood Nayyar +3 more
doaj +1 more source
Some Results of Fixed Points in Complete b‐Metric‐Like Space With Application
Journal of Function Spaces, Volume 2025, Issue 1, 2025.In this contribution, we prove some results of the uniqueness of the common fixed point for quadruple mappings in a complete b‐metric‐like space. Then, two nontrivial illustrative examples are provided to highlight the reliability of our basic findings.
Hakima Bouhadjera +4 more
wiley +1 more source
Cone metric spaces with Banach algebras and fixed point theorems of generalized Lipschitz mappings
, 2013 In this paper we introduce the concept of cone metric spaces with Banach algebras, replacing Banach spaces by Banach algebras as the underlying spaces of cone metric spaces.
Hao Liu, Shaoyuan Xu
semanticscholar +1 more source
Open Mathematics, 2020 Consider an ordered Banach space and f,gf,g two self-operators defined on the interior of its positive cone. In this article, we prove that the equation f(X)=g(X)f(X)=g(X) has a positive solution, whenever f is strictly α\alpha -concave g-monotone or ...
Kedim Imed +2 more
doaj +1 more source
Some new fixed point theorems for nonexpansive-type mappings in geodesic spaces
Open Mathematics, 2022 In this article, we present some new fixed point existence results for nonexpansive-type mappings in geodesic spaces. We also give a number of illustrative examples to settle our claims.
Shukla Rahul, Panicker Rekha
doaj +1 more source