Common Fixed Points of Kannan and Chatterjea Types of Mappings in a Complete Metric Space

2016 ◽  
Vol 18 (2) ◽  
pp. 1-11
Author(s):  
Risto Malčeski ◽  
Aleksa Malčeski ◽  
Katerina Anevska ◽  
Samoil Malčeski
Keyword(s):  
Fixed Points ◽  
Metric Space ◽  
Complete Metric Space ◽  
Common Fixed Points

scholarly journals On a family of contractive maps

1975 ◽  
Vol 13 (2) ◽  
pp. 301-308 ◽  
Author(s):  
Milan R. Tasković
Keyword(s):  
Fixed Points ◽  
Metric Space ◽  
Complete Metric Space ◽  
Common Fixed Points ◽  
Contractive Maps

The object of this paper is to study common fixed points of mappings of a complete metric space into itself. The results obtained are generalizations of theorems of Iséki and Ray. An example is given to show that our results are indeed extensions of the theorem of Iséki.

scholarly journals On common fixed points of mappings

1974 ◽  
Vol 10 (3) ◽  
pp. 365-370 ◽  
Author(s):  
Kiyoshi Iséki
Keyword(s):  
Fixed Points ◽  
Metric Space ◽  
Complete Metric Space ◽  
Common Fixed Points

The object of this paper is to study common fixed points of mappings of a complete metric space into itself. The results obtained are generalizations of Ray Theorems.

On common fixed points for a family of mappings

1975 ◽  
Vol 13 (2) ◽  
pp. 261-267 ◽  
Author(s):  
S.A. Husain ◽  
V.M. Sehgal
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Common Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Complete Metric Space ◽  
Common Fixed Points ◽  
Common Fixed Point Theorems

The purpose of this paper is to obtain some common fixed point theorems for a family of mappings in a complete metric space. The results herein improve some of the recent theorems of Kiyoshi Iséki (Bull. Austral. Math. Soc. 10 (1974), 365–370).

scholarly journals A Common Coincidence of Fixed Point for Generalized Caristi Fixed Point Theorem

2021 ◽  
Vol 2 (1) ◽  
pp. 40-46
Author(s):  
Jayashree Patil ◽  
Basel Hardan ◽  
Amol Bachhav
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Fixed Points ◽  
Point Theorem ◽  
Metric Space ◽  
Complete Metric Space ◽  
Common Fixed Points ◽  
Weakly Compatible

In this paper, the interpolative Caristi type weakly compatible contractive in a complete metric space is applied to show some common fixed points results related to such mappings. Our application shows that the function which is used to prove the obtained results is a bounded map. An example is provided to show the useability of the acquired results.

scholarly journals Common Fixed Points of Compatible Mappings

2012 ◽  
Vol 4 (3) ◽  
pp. 603-608
Author(s):  
M. P. Singh ◽  
R. Yumnam
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Common Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Complete Metric Space ◽  
Common Fixed Points ◽  
Compatible Mappings ◽  
Type B ◽  
Common Fixed Point Theorems

In this paper we prove two common fixed point theorems by considering four mappings in complete metric space. In the first theorem we consider two pairs of compatible mappings of type (A) and in the second theorem we consider two pairs of compatible mappings of type (B). Our results modify and extend some earlier results in the literature.© 2012 JSR Publications. ISSN: 2070-0237 (Print); 2070-0245 (Online). All rights reserved.doi: http://dx.doi.org/10.3329/jsr.v4i3.10567 J. Sci. Res. 4 (3), 603-608 (2012)

Common fixed points for multimaps in a metric space

1989 ◽  
Vol 13 (3) ◽  
pp. 221-229 ◽  
Author(s):  
K.P.R. Sastry ◽  
S.V.R. Naidu ◽  
J.R. Prasad
Keyword(s):  
Fixed Points ◽  
Metric Space ◽  
Common Fixed Points

On a theorem of Brian Fisher in the framework of w-distance

2017 ◽  
Vol 33 (2) ◽  
pp. 199-205
Author(s):  
DARKO KOCEV ◽  
◽  
VLADIMIR RAKOCEVIC ◽  
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Metric Spaces ◽  
Fixed Point Theory ◽  
Complete Metric Space ◽  
Point Theory ◽  
Common Fixed Points ◽  
Complete Metric Spaces ◽  
Condition C ◽  
Relaxing Condition

In 1980. Fisher in [Fisher, B., Results on common fixed points on complete metric spaces, Glasgow Math. J., 21 (1980), 165–167] proved very interesting fixed point result for the pair of maps. In 1996. Kada, Suzuki and Takahashi introduced and studied the concept of w–distance in fixed point theory. In this paper, we generalize Fisher’s result for pair of mappings on metric space to complete metric space with w–distance. The obtained results do not require the continuity of maps, but more relaxing condition (C; k). As a corollary we obtain a result of Chatterjea.

Pointwise Contraction Criteria for the Existence of Fixed Points

1978 ◽  
Vol 21 (1) ◽  
pp. 7-11 ◽  
Author(s):  
Frank H. Clarke
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Metric Space ◽  
Complete Metric Space

AbstractWe show that, in a complete metric space, every selfmap that is a “weak directional contraction” admits a fixed point.

Sign in / Sign up

Export Citation Format

Share Document