scholarly journals Fixed Point Results for Multivalued Operators On b_2 Metric Spaces

2020 ◽  
Author(s):  
FATMA AYDIN AKGÜN
Keyword(s):  
Fixed Point ◽  
Metric Spaces ◽  
Multivalued Operators

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 Characterization of a b-metric space completeness via the existence of a fixed point of Ciric-Suzuki type quasi-contractive multivalued operators and applications

2019 ◽  
Vol 27 (1) ◽  
pp. 5-33 ◽  
Author(s):  
Hanan Alolaiyan ◽  
Basit Ali ◽  
Mujahid Abbas
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Metric Space ◽  
Hausdorff Distance ◽  
Existence And Uniqueness ◽  
Asymptotic Estimate ◽  
Metric Spaces ◽  
Multivalued Operators ◽  
Fixed Point Sets

Abstract The aim of this paper is to introduce Ciric-Suzuki type quasi-contractive multivalued operators and to obtain the existence of fixed points of such mappings in the framework of b-metric spaces. Some examples are presented to support the results proved herein. We establish a characterization of strong b-metric and b-metric spaces completeness. An asymptotic estimate of a Hausdorff distance between the fixed point sets of two Ciric-Suzuki type quasi-contractive multivalued operators is obtained. As an application of our results, existence and uniqueness of multivalued fractals in the framework of b-metric spaces is proved.

Fixed point results for multivalued operators with respect to a c - distance

2015 ◽  
Vol 31 (2) ◽  
pp. 221-232
Author(s):  
ENRIQUE LLORENS-FUSTER ◽  
◽  
CRISTINA URS ◽  
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Spaces ◽  
Cone Metric Spaces ◽  
Multivalued Operators ◽  
Contractive Type ◽  
Cone Metric

In this paper we present a fixed point theorem for contractive type multivalued operators in cone metric spaces by using the concept of c-distance.

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