We prove some common fixed point results for four mappings satisfying generalized weak contractive condition in partially ordered complete b-metric spaces. Our results extend and improve several comparable results in the existing literature

https://www.degruyter.com/downloadpdf/j/ms.2014.64.issue-4/s12175-014-0250-6/s12175-014-0250-6.xml

Common fixed point of generalized weak contractive mappings in partially ordered b-metric spaces

Fractals and multivalued fractals play an important role in biology, quantum mechanics, computer graphics, dynamical systems, astronomy and astrophysics, geophysics, etc. Especially, there are important consequences of the iterated function (or multifunction) systems theory in several topics of applied sciences. It is known that examples of fractals and multivalued fractals are coming from fixed point theory for single-valued and multivalued operators, via the so-called fractal and multi-fractal operators. On the other hand, the most common setting for the study of fractals and multi-fractals is the case of operators on complete or compact metric spaces. The purpose of this paper is to extend the study of fractal operator theory for multivalued operators on complete b-metric spaces.

https://www.degruyter.com/downloadpdf/j/math.2010.8.issue-2/s11533-010-0009-4/s11533-010-0009-4.xml

Multivalued fractals in b-metric spaces

In this paper, inspired by the concept of b-metric space, we introduce the concept of extended b-metric space. We also establish some fixed point theorems for self-mappings defined on such spaces. Our results extend/generalize many pre-existing results in literature.

https://www.mdpi.com/2227-7390/5/2/19/pdf

A Generalization of b-Metric Space and Some Fixed Point Theorems

The purpose of this paper is to introduce the concept of partial b-metric spaces as a generalization of partial metric and b-metric spaces. An analog to Banach contraction principle, as well as a Kannan type fixed point result is proved in such spaces. Some examples are given which illustrate the results.

Partial b-Metric Spaces and Fixed Point Theorems

In this paper, we give a common fixed point result for single-valued and multi-valued mappings satisfying a weak -contraction in b-metric spaces. Presented theorems extend, generalize and improve some existing results in the literature. Some examples are also given.

/pdf/a-common-fixed-point-for-weak-contractions-on-b-metric-cfwv2fvkta.pdf

A COMMON FIXED POINT FOR WEAK -CONTRACTIONS ON b-METRIC SPACES

The purpose of this paper is to develop a fixed point theory for multivalued generalized contractions in complete b-metric spaces.

Fixed Point Theorems for Some Multivalued Generalized Contractions in B-Metric Spaces

The purpose of this paper is to present some fixed point results for generalized singlevalued and multivalued contractions on a set endowed with one or two vector-valued bmetrics.

http://www.mini.pw.edu.pl/~demmath/papers_2008/2008-139-0.pdf

FIXED POINT THEORY ON SPACES WITH VECTOR-VALUED b-METRICS

The aim of this paper is to present some fixed point theorems of Krasnoselskii- type for the sum of two multivalued operators

Monica Boriceanu

Papers

Multivalued fractals in b-metric spaces

Fixed Point Theorems for Some Multivalued Generalized Contractions in B-Metric Spaces

FIXED POINT THEORY ON SPACES WITH VECTOR-VALUED b-METRICS

Krasnoselskii-type theorems for multivalued operators