Results 31 to 40 of about 498 (73)

Some new fixed point theorems for set-valued contractions in complete metric spaces

open access: yes, 2011
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]

open access: yes, 2006
AMS classifications: 47H10; 54H25; 55M20; 90C33 ...
Talman, A.J.J., Yang, Z.F.
core   +2 more sources

Coupled fixed point results on quasi-Banach spaces with application to a system of integral equations

open access: yes, 2013
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]

open access: yes, 2006
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]

open access: yes, 2018
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

open access: yes, 2012
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

Best proximity and fixed point results for cyclic multivalued mappings under a generalized contractive condition

open access: yes, 2013
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

open access: yes, 2004
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

open access: yes, 2010
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

open access: yes, 2012
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

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