scholarly journals Suzuki type multivalued contractions in C*-algebra valued metric spaces with an application

2021 ◽  
Vol 6 (2) ◽  
pp. 1126-1139
Author(s):  
Mohammad Asim ◽  
◽  
Reny George ◽  
Mohammad Imdad ◽  
◽  
...  
Keyword(s):  
Metric Spaces ◽  
Multivalued Contractions

scholarly journals Fixed point theorems for multivalued generalized contractions of rational type in complete metric spaces

2014 ◽  
Vol 23 (1) ◽  
pp. 99-106
Author(s):  
ANCA M. OPREA ◽  
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Ordered Metric Spaces ◽  
Complete Metric Spaces ◽  
Multivalued Operators ◽  
Multivalued Contractions ◽  
Rational Type

The purpose of this paper is to present some fixed point theorems for multivalued contractions of rational type. We extend the results of I. Cabrera, J. Harjani and K. Sadarangan, A fixed point theorem for contractions of rational type in partially ordered metric spaces, Annali dellUniversita di Ferrara, DOI 10.1007/s11565-013-0176-x, to the case of multivalued operators.

scholarly journals On Multivalued Contractions in Cone Metric Spaces without Normality

2013 ◽  
Vol 2013 ◽  
pp. 1-3 ◽  
Author(s):  
Muhammad Arshad ◽  
Jamshaid Ahmad
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Normal Cone ◽  
Metric Spaces ◽  
Fixed Point Problem ◽  
Point Problem ◽  
Cone Metric Spaces ◽  
The Family ◽  
Multivalued Contractions ◽  
Cone Metric

Wardowski (2011) in this paper for a normal cone metric space(X,d)and for the family𝒜of subsets ofXestablished a new cone metricH:𝒜×𝒜→Eand obtained fixed point of set-valued contraction of Nadler type. Further, it is noticed in the work of Janković et al., 2011 that the…fixed-point problem in the setting of cone metric spaces is appropriate only in the case when the underlying cone is nonnormal. In the present paper we improve Wardowski's result by proving the same without the assumption of normality on cones.

scholarly journals FIXED POINT OF MULTIVALUED CONTRACTIONS IN ORTHOGONAL MODULAR METRIC SPACES

2019 ◽  
pp. 193
Author(s):  
Hoda Hosseini ◽  
Majid Eshaghi Gordji
Keyword(s):  
Fixed Point ◽  
Partial Order ◽  
Metric Spaces ◽  
Integral Type ◽  
Modular Metric Spaces ◽  
Multivalued Contractions ◽  
Type Contraction

In this paper we generalize the notion of O−set and establish some fixedpoint theorems for ⊥ − α − ψ−contraction multifunction in the setting of orthogonalmodular metric spaces. As consequences of these results we deduce some theorems inorthogonal modular metric spaces endowed with a graph and partial order. Finally,we establish some theorems for integral type contraction multifunctions and give someexamples to demonstrate the validity of the results.

scholarly journals Applications of Multivalued Contractions on Graphs to Graph-Directed Iterated Function Systems

2015 ◽  
Vol 2015 ◽  
pp. 1-16
Author(s):  
T. Dinevari ◽  
M. Frigon
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Metric Space ◽  
Metric Spaces ◽  
Iterated Function System ◽  
Iterated Function Systems ◽  
Complete Metric Spaces ◽  
Fixed Point Result ◽  
Iterated Function ◽  
Multivalued Contractions

We apply a fixed point result for multivalued contractions on complete metric spaces endowed with a graph to graph-directed iterated function systems. More precisely, we construct a suitable metric space endowed with a graphGand a suitableG-contraction such that its fixed points permit us to obtain more information on the attractor of a graph-directed iterated function system.

Sign in / Sign up

Export Citation Format

Share Document