Results 101 to 110 of about 3,769,573 (257)
Fixed point theorems and tiling problems
Let (X,d) be a complete metric space and let f : X ? X satisfy inf{?(x,y)d( fm(x), fm(y)) : m ? J}? Kd(x,y) for all x,y ? X and some K ? (0,1) and ? : X x X ? [0,?), where J is a set of positive integers. In this paper, we prove fixed point theorems for this mapping f.
openaire +3 more sources
Asymptotic Series Solution of Singularly Perturbed Fixed-End-Point Problem of Nuclear Reactor [PDF]
Hisashi Kando, Tetsuo Iwazumi
openalex +1 more source
Well-Posedness of the Fixed Point Problem of Multifunctions of Metric Spaces
We consider a class of metrics which are equivalent to the Hausdorff metric in some sense to establish the well-posedness of fixed point problems associated with multifunctions of metric spaces, satisfying various generalized contraction conditions ...
Nozara Sundus, Basit Ali, Maggie Aphane
doaj +1 more source
Dichotomy Results for Fixed-Point Existence Problems for Boolean Dynamical Systems
A complete classification of the computational complexity of the fixed-point existence problem for boolean dynamical systems, i.e., finite discrete dynamical systems over the domain {0, 1}, is presented. For function classes F and graph classes G, an (F,
Kosub, Sven
core +2 more sources
Deconstruction of the Kondo Effect near the AFM-Quantum Critical Point [PDF]
The problem of a spin-1/2 magnetic impurity near an antiferromagnetic transition of the host lattice is solved. The problem is shown to transform to a multichannel problem. A variety of fixed points is discovered asymptotically near the AFM-critical point. Among these is a new variety of stable fixed point of a multichannel Kondo problem which does not
arxiv
Homotopies and the universal fixed point property [PDF]
A topological space has the fixed point property if every continuous self-map of that space has at least one fixed point. We demonstrate that there are serious restraints imposed by the requirement that there be a choice of fixed points that is continuous whenever the self-map varies continuously. To even specify the problem, we introduce the universal
arxiv
New fixed point theorems for a family of mappings and applications to problems on sets with convex sections [PDF]
Kunquan Lan, J. R. L. Webb
openalex +1 more source
We study the split fixed point problem with multiple output sets in nonlinear spaces, particularly in CAT(0) spaces. We modify the existing self-adaptive algorithm for solving the split common fixed point problem with multiple output sets in the settings
Maliha Rashid+4 more
doaj +1 more source
A mutual control problem for semilinear system via fixed point approach [PDF]
In this paper, we introduce and discuss the concept of a mutual control problem. Our analysis relies on a vector fixed-point approach based on the fixed-point theorems of Perov, Schauder, Leray-Schauder, and Avramescu. Additionally, for a related semi-observability problem, we employ a novel technique utilizing Bielecki equivalent norms.
arxiv
Properties of Fixed Points of Generalised Extra Gradient Methods Applied to Min-Max Problems [PDF]
This paper studies properties of fixed points of generalised Extra-gradient (GEG) algorithms applied to min-max problems. We discuss connections between saddle points of the objective function of the min-max problem and GEG fixed points. We show that, under appropriate step-size selections, the set of saddle points (Nash equilibria) is a subset of ...
arxiv