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 ◽  
◽  
...  
2014 ◽  
Vol 23 (1) ◽  
pp. 99-106
Author(s):  
ANCA M. OPREA ◽  

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.


2013 ◽  
Vol 2013 ◽  
pp. 1-3 ◽  
Author(s):  
Muhammad Arshad ◽  
Jamshaid Ahmad

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.


Author(s):  
Hoda Hosseini ◽  
Majid Eshaghi Gordji

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.


2015 ◽  
Vol 2015 ◽  
pp. 1-16
Author(s):  
T. Dinevari ◽  
M. Frigon

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.


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