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Coupled coincidence point theorems for nonlinear contractions in partially ordered quasi-metric spaces with a $Q$ -function.

Hussain, N., Shah, M.H., Kutbi, M.A. (2011)

Fixed Point Theory and Applications [electronic only]

Coupled fixed point, $F$ -invariant set and fixed point of $N$ -order.

Samet, B., Vetro, C. (2010)

Annals of Functional Analysis (AFA) [electronic only]

Coupled fixed point theorems for nonlinear contractions satisfied Mizoguchi-Takahashi's condition in quasiordered metric spaces.

Du, Wei-Shih (2010)

Fixed Point Theory and Applications [electronic only]

Coupled fixed point theorems for (α, φ) g -contractive type mappings in partially ordered G-metric spaces

Jianhua Chen, Xianjiu Huang (2015)

Open Mathematics

In this paper, we introduce a new concept of (α, φ)g-contractive type mappings and establish coupled coincidence and coupled common fixed point theorems for such mappings in partially ordered G-metric spaces. The results on fixed point theorems are generalizations of some existing results.We also give some examples to illustrate the usability of the obtained results.

Coupled fixed point theorems of integral type mappings in cone metric spaces

J. O. Olaleru, G. A. Okeke, H. Akewe (2012)

Kragujevac Journal of Mathematics

Covering $Σ_{ξ}^{0}$ -generated ideals by $Π_{ξ}^{0}$ sets

Tamás Mátrai (2007)

Commentationes Mathematicae Universitatis Carolinae

We develop the theory of topological Hurewicz test pairs: a concept which allows us to distinguish the classes of the Borel hierarchy by Baire category in a suitable topology. As an application we show that for every $Π_{ξ}^{0}$ and not $Σ_{ξ}^{0}$ subset $P$ of a Polish space $X$ there is a $σ$ -ideal $ℐ \subseteq 2^{X}$ such that $P \notin ℐ$ but for every $Σ_{ξ}^{0}$ set $B \subseteq P$ there is a $Π_{ξ}^{0}$ set $B^{'} \subseteq P$ satisfying $B \subseteq B^{'} \in ℐ$ . We also discuss several other results and problems related to ideal generation and Hurewicz test pairs.

Critical points of abstract dynamical systems

Otomar Hájek (1964)

Commentationes Mathematicae Universitatis Carolinae

Cycles of distance-decreasing mappings in the ring of n-adic integers

V. I. Sushchanski, E. Moćko, V. V. Nekrashevych (2006)

Colloquium Mathematicae

We give a description of possible sets of cycle lengths for distance-decreasing maps and isometries of the ring of n-adic integers.

Cycles of links and fixed points for orientation preserving homeomorphisms of the open unit disk

Juliana Xavier (2012)

Fundamenta Mathematicae

Michael Handel proved the existence of a fixed point for an orientation preserving homeomorphism of the open unit disk that can be extended to the closed disk, provided that it has points whose orbits form an oriented cycle of links at infinity. More recently, the author generalized Handel's theorem to a wider class of cycles of links. In this paper we complete this topic describing exactly which are all the cycles of links forcing the existence of a fixed point.

Cyclic Type Fixed Point Results in 2-Menger Spaces

Binayak S. Choudhury, Samir Kumar BHANDARI, Parbati SAHA (2015)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

In this paper we introduce generalized cyclic contractions through $r$ number of subsets of a probabilistic 2-metric space and establish two fixed point results for such contractions. In our first theorem we use the Hadzic type $t$ -norm. In another theorem we use a control function with minimum $t$ -norm. Our results generalizes some existing fixed point theorem in 2-Menger spaces. The results are supported with some examples.

Cylinder cocycle extensions of minimal rotations on monothetic groups

Mieczysław K. Mentzen, Artur Siemaszko (2004)

Colloquium Mathematicae

The main results of this paper are: 1. No topologically transitive cocycle $ℝ^{m}$ -extension of minimal rotation on the unit circle by a continuous real-valued bounded variation ℤ-cocycle admits minimal subsets. 2. A minimal rotation on a compact metric monothetic group does not admit a topologically transitive real-valued cocycle if and only if the group is finite.

Cylinders over λ-dendroids have the fixed point property

Roman Mańka (2002)

Fundamenta Mathematicae

It is proved that the cylinder X × I over a λ-dendroid X has the fixed point property. The proof uses results of [9] and [10].

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