Results 31 to 40 of about 498 (73)
Some new fixed point theorems for set-valued contractions in complete metric spaces
In this article, we obtain some new fixed point theorems for set-valued contractions in complete metric spaces. Our results generalize or improve many recent fixed point theorems in the literature.MSC: 47H10, 54C60, 54H25, 55M20.
Chi-Ming Chen
semanticscholar +1 more source
A Discrete Multivariate Mean Value Theorem with Applications [PDF]
AMS classifications: 47H10; 54H25; 55M20; 90C33 ...
Talman, A.J.J., Yang, Z.F.
core +2 more sources
The aim of this paper is to obtain coupled fixed point theorems for self-mappings defined on an ordered closed and convex subset of a quasi-Banach space. Our method of proof is different and constructive in nature.
N. Hussain, P. Salimi, S. Al-Mezel
semanticscholar +1 more source
Nonstabilized Nielsen coincidence invariants and Hopf-Ganea homomorphisms [PDF]
In classical fixed point and coincidence theory the notion of Nielsen numbers has proved to be extremely fruitful. We extend it to pairs .f1;f2/ of maps between manifolds of arbitrary dimensions, using nonstabilized normal bordism theory as our main tool.
U. Koschorke
semanticscholar +1 more source
Fixed-Circle Problem on S-Metric Spaces with a Geometric Viewpoint [PDF]
Recently, a new geometric approach which is called the fixed-circle problem has been gained to fixed-point theory. The problem is introduced and studied using different techniques on metric spaces.
Taş, Nihal, Özgür, Nihal Yilmaz
core +2 more sources
Common fixed point under contractive condition of Ćirić’s type on cone metric type spaces
The purpose of this article is to generalize common fixed point theorems under contractive condition of Ćirić’s type on a cone metric type space.
M. Stanić+3 more
semanticscholar +1 more source
This paper is devoted to investigating the existence of fixed points and best proximity points of multivalued cyclic self-mappings in metric spaces under a generalized contractive condition involving Hausdorff distances.
M. de La Sen+4 more
semanticscholar +1 more source
The Lefschetz-Hopf theorem and axioms for the Lefschetz number
The reduced Lefschetz number, that is, the Lefschetz number minus 1, is proved to be the unique integer-valued function L on selfmaps of compact polyhedra which is constant on homotopy classes such that (1) L(fg) = L(gf), for f:X -->Y and g:Y -->X; (2 ...
Arkowitz, Martin, Brown, Robert F.
core +4 more sources
Parametrized Borsuk-Ulam problem for projective space bundles
Let $\pi: E \to B$ be a fiber bundle with fiber having the mod 2 cohomology algebra of a real or a complex projective space and let $\pi^{'}: E^{'} \to B$ be vector bundle such that $\mathbb{Z}_2$ acts fiber preserving and freely on $E$ and $E^{'}-0 ...
Singh, Mahender
core +1 more source
Periodic points for the weak contraction mappings in complete generalized metric spaces
In this article, we introduce the notions of (ϕ - φ)-weak contraction mappings and (ψ - φ)-weak contraction mappings in complete generalized metric spaces and prove two theorems which assure the existence of a periodic point for these two types of weak ...
Chi-Ming Chen, Chao-Hung Chen
semanticscholar +1 more source