Results 51 to 60 of about 511 (79)

Common fixed points for $ψ-(α,β, m)$-contraction pairs [PDF]

arXiv, 2013
In this paper we establish some common fixed point theorem for a new class of pair of contractions mappings, called $\psi-(\alpha,\beta, m)$-contraction pairs, which we will assume occasionally weakly compatible and satisfying the property (E.A.).
arxiv  

New fixed point results on $G$-metric spaces [PDF]

arXiv, 2017
In this note, we discuss some fixed point theorems for contractive self mappings defined on a $G$-metric spaces. More precisely, we give fised point theorems for mappings with a contractive iterate at a point.
arxiv  

Strongly quasinonexpansive mappings, II [PDF]

Journal of Nonlinear and Convex Analysis, 19 (2018), no. 10, 1655-1663, 2017
This paper is devoted to the study of strongly quasinonexpansive mappings in an abstract space and a Banach space.
arxiv  

Generalized implicit viscosity approximation method for multivalued mappings in CAT(0) spaces

Demonstratio Mathematica, 2019
We prove strong convergence of the sequence generated by implicit viscosity approximation method involving a multivalued nonexpansive mapping in framework of CAT(0) space.
Abbas Mujahid, Iqbal Hira, de la Sen Manuel   +2 more
doaj   +1 more source

Approximation of fixed points of nonexpansive mappings and quasinonexpansive mappings in a Hilbert space [PDF]

Proceedings of the 10th International Conference on Nonlinear Analysis and Convex Analysis, Yokohama Publishers, 2019, pp. 1-10, 2017
In this paper, we give a simple proof and some generalizations of results in Falset, Llorens-Fuster, Marino, and Rugiano (2016).
arxiv  

Fixed point, Gregus-Ciric-contraction, monotone mappings, weighted graph [PDF]

arXiv, 2018
In this paper, we introduce the concept of monotone Gregus-\'Ciri\'c-contraction mappings in weighted digraphs. Then we establish a fixed point theorem for monotone Gregus-\'Ciri\'c-contraction mappings defined in convex weighted digraphs.
arxiv  

A note on an alternative iterative method for nonexpansive mappings [PDF]

arXiv, 2015
In this note we point out that results on the asymptotic behaviour of an alternative iterative method are corollaries of corresponding results on the well-known Halpern iteration.
arxiv  

Some results in cone metric spaces with applications in homotopy theory

Open Mathematics, 2020
The self-mappings satisfying implicit relations were introduced in a previous study [Popa, Fixed point theorems for implicit contractive mappings, Stud. Cerc. St. Ser. Mat. Univ. Bacău 7 (1997), 129–133].
Nazam Muhammad, Arif Anam, Mahmood Hasan, Park Choonkil   +3 more
doaj   +1 more source

A new characterization of partial metric completeness [PDF]

arXiv, 2019
In this article, we present a new characterization of the completeness of a partial metric space--which we call \textit{orbital characterization}-- using fixed point results.
arxiv  

A quadratic rate of asymptotic regularity for CAT(0)-spaces [PDF]

arXiv, 2005
In this paper we obtain a quadratic bound on the rate of asymptotic regularity for the Krasnoselski-Mann iterations of nonexpansive mappings in CAT(0)-spaces, whereas previous results guarantee only exponential bounds. The method we use is to extend to the more general setting of uniformly convex hyperbolic spaces a quantitative version of a ...
arxiv