Self-similar sets and fractals generated by Ćirić type operators (original) (raw)

Fixed Point Theory with Applications to Dynamical Systems and Fractals

2002

The flrst aim of this paper is to report some results in connection with some single- valued and multi-valued Caristi-type operators in complete metric spaces. Then, we will prove that each flnite family of single-valued and multi-valued operators satisfying to some Meir-Keeler type conditions has a self-similar set.

Free PDF

Fixed Point Theory with Applications to Dynamical Systems and Fractals Cover Page

Free PDF

Multivalued fractals and generalized multivalued contractions Cover Page

Free PDF

Fixed Points, Fixed Sets and Iterated Multifunction Systems for Nonself Multivalued Operators Cover Page

Free PDF

Fixed points and sets of multivalued contractions: an advanced survey with some new results Cover Page

Nonlinear Relation-Theoretic Suzuki-Generalized Ćirić-Type Contractions and Application to Fractal Spaces

Fractal and Fractional

In this article, we introduce the idea of relation-theoretic Suzuki-generalized nonlinear contractions and utilized the same to prove some fixed point results in an ℜ-complete partial metric space. Our newly established results are sharpened versions of earlier existing results in the literature. Indeed, we give an application to construct multivalued fractals using a newly introduced contraction in the iterated function space.

Free PDF

Nonlinear Relation-Theoretic Suzuki-Generalized Ćirić-Type Contractions and Application to Fractal Spaces Cover Page

Free PDF

On existence results in fixed set theory and applications to self-similarity Cover Page

Some variants of Ćirić’s multi-valued contraction principle

Annals of West University of Timisoara - Mathematics and Computer Science, 2019

In this article, a study of the fixed point problem for Ćirić type multi-valued operators is presented. More precisely, some variants ofĆirić’s contraction principle for multi-valued operators, as well as a strict fixed point principle forĆirić type multi-valued will be given.

Free PDF

Some variants of Ćirić’s multi-valued contraction principle Cover Page

Iterated Functions Systems Composed of Generalized θ-Contractions

Fractal and Fractional

The theory of iterated function systems (IFSs) has been an active area of research on fractals and various types of self-similarity in nature. The basic theoretical work on IFSs has been proposed by Hutchinson. In this paper, we introduce a new generalization of Hutchinson IFS, namely generalized θ-contraction IFS, which is a finite collection of generalized θ-contraction functions T1,…,TN from finite Cartesian product space X×⋯×X into X, where (X,d) is a complete metric space. We prove the existence of attractor for this generalized IFS. We show that the Hutchinson operators for countable and multivalued θ-contraction IFSs are Picard. Finally, when the map θ is continuous, we show the relation between the code space and the attractor of θ-contraction IFS.

Free PDF

Iterated Functions Systems Composed of Generalized θ-Contractions Cover Page

Free PDF

Multivalued fractals in b-metric spaces Cover Page

Free PDF

Coupled fractals in complete metric spaces Cover Page