نتایج جستجو برای: fixed point

تعداد نتایج: 681551  

2005
Max Forester Colin Rourke

We give short new geometric proofs of theorems of Bogley and Pride and of Serre. Both follow quickly from a global fixed point theorem. The Bogley–Pride theorem concerns aspherical relative group presentations and was applied in [5] to the multivariable adjunction problem. Serre’s theorem is a basic result concerning group cohomology and finite subgroups.

1998
Piotr Minc PIOTR MINC D. P. Bellamy

A hereditarily indecomposable tree-like continuum without the fixed point property is constructed. The example answers a question of Knaster and Bellamy.

2010

Radial lines, suitably parameterized, are geodesics, but notice that the distance from the origin to the (Euclidean) unit sphere is infinite. This model makes it intuitively clear that the boundary at infinity of hyperbolic space is Sn−1. Hyperbolic space together with its boundary at infinity has the topology of a closed ball, and isometries of hyperbolic space extend uniquely to a homeomorphi...

2011
Jin Liang Zhi-Wei Lv

By using the fixed-point index theory and Leggett-Williams fixed-point theorem,we study the existence of multiple solutions to the three-point boundary value problem u′′′ t a t f t, u t , u′ t 0, 0 < t < 1; u 0 u′ 0 0; u′ 1 − αu′ η λ, where η ∈ 0, 1/2 , α ∈ 1/2η, 1/η are constants, λ ∈ 0,∞ is a parameter, and a, f are given functions. New existence theorems are obtained, which extend and comple...

2012
Savita Rathee Asha Rani

In this paper, we obtain a fixed point theorem for weakly compatible mappings by altering distances between the points via  contractive condition in D-metric spaces. Our work include the results of Bansal, Chugh and Kumar [1], Veerapandi and Chandersekher Rao [14], and Dhage [4]. An example is given at the end to prove the validity of the theorem.

2014
Arvind Bhatt Sandeep Bhatt Shruti Chaukiyal Bipin Tripathi

In this paper, we use the concept of a w-distance to prove a common coupled fixed point theorem for a family of maps on a metric space. Our results unify, generalize and complement the comparable results from the current literature.

1993
P. N. Dowling C. J. Lennard

The main result of this paper is that every non-reflexive subspace Y of L 1 [0, 1] fails the fixed point property for closed, bounded, convex subsets C of Y and nonexpansive (or contractive) mappings on C. Combined with a theorem of Maurey we get that for subspaces Y of L 1 [0, 1], Y is reflexive if and only if Y has the fixed point property. For general Banach spaces the question as to whether...

2010
LIU YANG CHUNFANG SHEN YAN LIANG

The paper consider positive solutions for second-order four-point boundary value problem u′′(t) + f(t, u, u′) = 0, t ∈ (0, 1) u(0) = αu(η), u(1) = βu(ξ) where the first order derivative is involved in the nonlinear term explicitly. By using Krasnoselskii fixed point theorem and triple fixed point theorem, we show the existence, multiplicity of positive solutions for the problem. Some examples a...

2014
V. H. BADSHAH YOGITA R. SHARMA

In this paper we proved fixed point theorem of four mapping on fuzzy metric space based on the concept of semi copatibility using implicit relation. These results generalize several corresponding relations in fuzzy metric space. All the results of this paper are new.

2009
P. Vijayaraju

In this paper we prove the existence of common fixed points for a pair of self mappings under strict contractive conditions in the settings of a fuzzy metric space.Also we prove a common fixed point theorem for a quadruplet of self mappings in fuzzy metric space. Mathematics Subject Classification: 47H10, 54A40, 54E99

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