Displaying similar documents to “Fixed point theorems in topological spaces”

Fixed points of periodic mappings in Hilbert spaces

Víctor García, Helga Nathansky (2010)

Annales UMCS, Mathematica

Similarity:

In this paper we give new estimates for the Lipschitz constants of n-periodic mappings in Hilbert spaces, in order to assure the existence of fixed points and retractions on the fixed point set.

Fixed points of periodic mappings in Hilbert spaces

Victor Perez Garcia, Helga Fetter Nathansky (2010)

Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica

Similarity:

In this paper we give new estimates for the Lipschitz constants of n-periodic mappings in Hilbert spaces, in order to assure the existence of fixed points and retractions on the fixed point set.

Fractals of generalized F− Hutchinson operator

Talat Nazir, Sergei Silvestrov, Mujahid Abbas (2016)

Waves, Wavelets and Fractals

Similarity:

The aim of this paper is to construct a fractal with the help of a finite family of F− contraction mappings, a class of mappings more general than contraction mappings, defined on a complete metric space. Consequently, we obtain a variety of results for iterated function systems satisfying a different set of contractive conditions. Some examples are presented to support the results proved herein. Our results unify, generalize and extend various results in the existing literature. ...

Common fixed point and periodic point results in multiplicative metric spaces

Talat Nazir, Sergei Silvestrov (2016)

Waves, Wavelets and Fractals

Similarity:

In this paper, we study the common fixed point and periodic point results for self-mapings in the setup of multiplicative metric spaces. We also study the well-posedness of these obtained our results. We also study the common fixed point results of mappings involved in the cyclic representation. Moreover, some applications to obtain the common solution of integral equations are presented.