Results 281 to 290 of about 851,945 (325)
Some of the next articles are maybe not open access.
On Brouwer's fixed point theorem
Topology Proceedings, 2022Summary: It is shown by Klaas Pieter Hart, Jan van Mill, and Roman Pol [\textit{K. P. Hart} et al., Topol. Proc. 25(Summer), 179--206 (2000; Zbl 1027.54051)] that Brouwer's fixed point theorem can be reduced to its 3-dimensional case by using the hyperspace of a 2-dimensional hereditarily indecomposable continuum.
openaire +2 more sources
Subrahmanyam’s fixed point theorem
Nonlinear Analysis: Theory, Methods & Applications, 2009In this paper, a sufficient and necessary condition for the convergence of the sequence of successive \(\{T^n x\}\) approximations to a fixed point of self mapping \(T\) on a complete metric space \((X, d)\) is given. Some equivalent conditions for the convergence of the sequence of successive \(\{T^n x\}\) approximations to a unique fixed point of ...
openaire +2 more sources
1987
An economic system, which consists of a number of relationships among the relevant factors, is modelled as a system of equations or inequalities of certain unknowns, whose solution represents a specific state in which the system settles. This is typically exemplified by the Walrasian competitive economy (Walras, 1874), consisting of the interaction of ...
openaire +1 more source
An economic system, which consists of a number of relationships among the relevant factors, is modelled as a system of equations or inequalities of certain unknowns, whose solution represents a specific state in which the system settles. This is typically exemplified by the Walrasian competitive economy (Walras, 1874), consisting of the interaction of ...
openaire +1 more source
Functional Analysis and Its Applications, 1996
This note has discussed three fixed point theorems for mappings \(T:H\times H\to H\), where \(H\) is a suitable subset of a metric or normed linear space, satisfying certain conditions. Only indications of the proofs are given. The first two theorems are proved with the help of a theorem due to \textit{M. Edelstein} [J. Lond. Math. Soc. 37, 74-79 (1962;
Tran Quoc Binh, Nguyen Minh Chuong
openaire +2 more sources
This note has discussed three fixed point theorems for mappings \(T:H\times H\to H\), where \(H\) is a suitable subset of a metric or normed linear space, satisfying certain conditions. Only indications of the proofs are given. The first two theorems are proved with the help of a theorem due to \textit{M. Edelstein} [J. Lond. Math. Soc. 37, 74-79 (1962;
Tran Quoc Binh, Nguyen Minh Chuong
openaire +2 more sources
Archiv der Mathematik, 1997
We prove a fixed point theorem for the action of a Lie group \(G\) acting isometrically on a non-negatively curved Riemannian manifold with principal orbits which are isotropy irreducible homogeneous spaces. We refine our result when the curvature is positive and give a possible application to the study of immersions of homogeneous spaces into spheres.
openaire +2 more sources
We prove a fixed point theorem for the action of a Lie group \(G\) acting isometrically on a non-negatively curved Riemannian manifold with principal orbits which are isotropy irreducible homogeneous spaces. We refine our result when the curvature is positive and give a possible application to the study of immersions of homogeneous spaces into spheres.
openaire +2 more sources
1998
We begin by the well-known Banach contraction principle. A mapping f: X → Y from a metric space (X, ρ ) into a metric space (Y, d) is said to be a contraction if there is a number 0 ≤ γ < 1 such that inequality \( d\left( {f\left( x \right),f\left( {x'} \right)} \right) \leqslant \gamma \cdot \rho \left( {x,x'} \right) \) holds, for every pair of ...
Dušan Repovš +1 more
openaire +1 more source
We begin by the well-known Banach contraction principle. A mapping f: X → Y from a metric space (X, ρ ) into a metric space (Y, d) is said to be a contraction if there is a number 0 ≤ γ < 1 such that inequality \( d\left( {f\left( x \right),f\left( {x'} \right)} \right) \leqslant \gamma \cdot \rho \left( {x,x'} \right) \) holds, for every pair of ...
Dušan Repovš +1 more
openaire +1 more source
A contractive type fixed point theorem for a mapping \(f: X\times X\to X\), \(X\) a compact metric space, is proved.
Bhola, P. K., Sharma, P. L.
openaire +2 more sources
Bhola, P. K., Sharma, P. L.
openaire +2 more sources
Generalisation of a fixed point theorem
1985The following fixed point theorem has been proved in [\textit{J. Achari} and \textit{B. K. Lahiri}, Riv. Mat. Univ. Parma, IV. Ser. 6, 161-165 (1980; Zbl 0463.47038)]. Theorem: Let \(X\) be a reflexive Banach space and \(K\) be a non-empty closed convex bounded subset of \(X\).
Tiwary, Kalishankar, Lahiri, B. K.
openaire +2 more sources
Targeted drug delivery strategies for precision medicines
Nature Reviews Materials, 2021Mandana T Manzari +2 more
exaly
Liquid biopsy enters the clinic — implementation issues and future challenges
Nature Reviews Clinical Oncology, 2021Michail Ignatiadis +2 more
exaly