scholarly journals Some fixed point theorems in dislocated metric spaces

2014 ◽  
Vol 3 ◽  
pp. 35-43
Author(s):  
T. Senthil Kumar ◽  
A. Muraliraj ◽  
R. Jahir Hussain
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Dislocated Metric

scholarly journals Common Fixed Point Theorems for Nonlinear Contractive Mappings in Dislocated Metric Spaces

2013 ◽  
Vol 2013 ◽  
pp. 1-5 ◽  
Author(s):  
Yijie Ren ◽  
Junlei Li ◽  
Yanrong Yu
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Contraction Mapping Theorem ◽  
Contractive Mappings ◽  
Dislocated Metric Space ◽  
Common Fixed Point Theorems ◽  
Dislocated Metric

In 1986, Matthews generalized Banach contraction mapping theorem in dislocated metric space that is a wider space than metric space. In this paper, we established common fixed point theorems for a class of contractive mappings. Our results extend the corresponding ones of other authors in dislocated metric spaces.

scholarly journals Fixed Point Theorems and Generalizations of Dislocated Metric Spaces

2015 ◽  
Vol 8 (S3) ◽  
pp. 154 ◽  
Author(s):  
P. Sumati Kumari ◽  
Ch. V. Ramana ◽  
Kastriot Zoto ◽  
D. Panthi
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Dislocated Metric

scholarly journals Common fixed point results of $s$-$\alpha $ contraction for a pair of maps in $b$-dislocated metric spaces

2020 ◽  
Vol 4 (2) ◽  
pp. 142-151
Author(s):  
Abdissa Fekadu ◽  
◽  
Kidane Koyas ◽  
Solomon Gebregiorgis ◽  
◽  
...  
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Existence And Uniqueness ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Dislocated Metric

The purpose of this article is to construct fixed point theorems and prove the existence and uniqueness of common fixed point results of \( s-\alpha \) contraction for a pair of maps in the setting of \( b \) - dislocated metric spaces. Our results extend and generalize several well-known comparable results in the literature. The study procedure we used was that of Zoto and Kumari [<a href="#1">1</a>]. Furthermore, we provided an example in support of our main result.

Fixed point theorems for generalized weak contraction mapping in generating space of b-dislocated metric spaces

2020 ◽  
pp. 2150120
Author(s):  
Reena Jain
Keyword(s):  
Fixed Point ◽  
Partial Order ◽  
Metric Space ◽  
Contraction Mapping ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Weak Contraction ◽  
Dislocated Metric Space ◽  
Generalized Weak Contraction ◽  
Dislocated Metric

In this paper, the concept of generalized weak contraction mapping in the setting of generating space of [Formula: see text]-dislocated metric space endowed with partial order is introduced and some fixed-point theorems for the mappings in space satisfying the generalized weak contraction are proved. Example is also given in order to justify our main result.

Sign in / Sign up

Export Citation Format

Share Document