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Some common fixed point results for rational type contraction mappings in partially ordered metric spaces

Sumit Chandok (2013)

Mathematica Bohemica

The purpose of this paper is to establish some common fixed point results for f -nondecreasing mappings which satisfy some nonlinear contractions of rational type in the framework of metric spaces endowed with a partial order. Also, as a consequence, a result of integral type for such class of mappings is obtained. The proved results generalize and extend some of the results of J. Harjani, B. Lopez, K. Sadarangani (2010) and D. S. Jaggi (1977).

Une version feuilletée équivariante du théorème de translation de Brouwer

Patrice Le Calvez (2005)

Publications Mathématiques de l'IHÉS

The Brouwer’s plane translation theorem asserts that for a fixed point free orientation preserving homeomorphism f of the plane, every point belongs to a Brouwer line: a proper topological embedding C of R, disjoint from its image and separating f(C) and f–1(C). Suppose that f commutes with the elements of a discrete group G of orientation preserving homeomorphisms acting freely and properly on the plane. We will construct a G-invariant topological foliation of the plane by Brouwer lines. We apply...

Virtually repelling fixed point.

Xavier Buff (2003)

Publicacions Matemàtiques

In this article, we study the notion oí virtually repelling fixed point. We first give a definition and an interpretation of it. We then prove that most proper holomorphic mappings f: U -> V with U contained in V have at least one virtually repelling fixed point.

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