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 ◽  
◽  
...  

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.

2018 ◽  
Vol 11 (4) ◽  
pp. 1177-1190
Author(s):  
Pushpendra Semwal

In this paper we investigate the existence and uniqueness of common fixed point theorems for certain contractive type of mappings. As an application the existence and uniqueness of common solutions for a system of functional equations arising in dynamic programming are discuss by using the our results.


2013 ◽  
Vol 2013 ◽  
pp. 1-5 ◽  
Author(s):  
Yijie Ren ◽  
Junlei Li ◽  
Yanrong Yu

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.


2016 ◽  
Vol 2016 ◽  
pp. 1-7 ◽  
Author(s):  
Anil Kumar Dubey

The aim of this paper is to prove the existence and uniqueness of a common fixed point for a pair of mappings satisfying certain rational contraction conditions in complex valued b-metric space. The obtained results generalize and extend some of the well-known results in the literature.


2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
Aiman A. Mukheimer

Azam et al. (2011), introduce the notion of complex valued metric spaces and obtained common fixed point result for mappings in the context of complex valued metric spaces. Rao et al. (2013) introduce the notion of complex valuedb-metric spaces. In this paper, we generalize the results of Azam et al. (2011), and Bhatt et al. (2011), by improving the conditions of contraction to establish the existence and uniqueness of common fixed point for two self-mappings on complex valuedb-metric spaces. Some examples are given to illustrate the main results.


2015 ◽  
Vol 08 (02) ◽  
pp. 86-92
Author(s):  
Samia Bennani ◽  
Hicham Bourijal ◽  
Soufiane Mhanna ◽  
Driss El Moutawakil

2021 ◽  
Vol 2021 ◽  
pp. 1-15
Author(s):  
Fengrong Zhang ◽  
Xiangshuai Zhang ◽  
Yan Hao

Two common fixed point theorems for weakly compatible mappings satisfying contractive conditions of integral type in G -metric spaces are demonstrated. The results obtained in this paper generalize and differ from a few results in the literature and are used to prove the existence and uniqueness of common bounded and continuous solutions for certain functional equations and nonlinear Volterra integral equations. A nontrivial example is included.


2022 ◽  
Vol 2022 ◽  
pp. 1-16
Author(s):  
Hongyan Guan ◽  
Jianju Li ◽  
Yan Hao

In this manuscript, two new classes of generalized weakly contractions are introduced and common fixed point results concerning the new contractions are proved in the context of rectangular b -metric spaces. Also, some examples are included to present the validity of our theorems. As an application, we provide the existence and uniqueness of solution of an integral equation.


Author(s):  
Jagdish C. Chaudhary ◽  
Shailesh T. Patel

In this paper, we prove some common fixed point theorems in complete metric spaces for self mapping satisfying a contractive condition of Integral  type.


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