graphic contraction
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Mathematics ◽  
2019 ◽  
Vol 8 (1) ◽  
pp. 33
Author(s):  
Nizar Souayah ◽  
Mehdi Mrad

Recently, Mlaiki et al. introduced the notion of a controlled metric type space which is a generalization of the b-metric space. In this work, we define the controlled partial metric type space and give some fixed-point theorems for extensions of Kannan contraction in this space with suitable conditions. Moreover, as an application, we derive a fixed-point theorem for graphic contraction on the considered metric space endowed with a graph.


Mathematics ◽  
2019 ◽  
Vol 7 (12) ◽  
pp. 1190 ◽  
Author(s):  
Manuel De la Sen ◽  
Nebojša Nikolić ◽  
Tatjana Došenović ◽  
Mirjana Pavlović ◽  
Stojan Radenović

In this paper we consider ( s − q ) -graphic contraction mapping in b-metric like spaces. By using our new approach for the proof that a Picard sequence is Cauchy in the context of b-metric-like space, our results generalize, improve and complement several approaches in the existing literature. Moreover, some examples are presented here to illustrate the usability of the obtained theoretical results.


Symmetry ◽  
2019 ◽  
Vol 11 (5) ◽  
pp. 667 ◽  
Author(s):  
Hasanen A. Hammad ◽  
Manuel De la Sen

In this article, a general contractive mapping is presented and some fixed point results in complete b-metric-like spaces are studied. The results obtained here extend and improve some related results in the literature. Also, new common fixed point results for a graphic contraction mappings are proved. Some comparative examples are given to support the obtained results. Moreover, an analytical solution of an integral equation has been presented as an application.


2018 ◽  
Vol 42 (6) ◽  
pp. 3149-3165 ◽  
Author(s):  
Nantaporn Chuensupantharat ◽  
Poom Kumam ◽  
Varsha Chauhan ◽  
Deepak Singh ◽  
Radhika Menon

2014 ◽  
Vol 8 (3) ◽  
pp. 79-85
Author(s):  
Muhammad Arshad ◽  
Fahimuddin ◽  
Abdullah Shoaib ◽  
Aftab Hussain

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