Istratescu-Suzuki-Ćirić-type fixed points results in the framework of \(G\)-metric spaces

Volume 9, Issue 12, pp 6077--6095 http://dx.doi.org/10.22436/jnsa.009.12.15

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Authors

Mujahid Abbas - Department of Mathematics, University of Management and Technology, C-II, Johar Town, Lahore, Pakistan. - Department of Mathematics and Applied Mathematics, University of Pretoria, Lynnwood Road, Pretoria 0002, South Africa. Azhar Hussain - Department of Mathematics, University of Sargodha, Sargodha-40100, Pakistan. Branislav Popović - Faculty of Science, University of Kragujevac, Radoja Domanovića 12, 34000 Kragujevac, Serbia. Stojan Radenović - Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120 Beograd, Serbia.

Abstract

The aim of this paper is to present fixed point results of convex contraction, convex contraction of order 2, weakly Zamfirescu and Ćirić strong almost contraction mappings in the framework of G-metric spaces. Some examples are presented to support the results proved herein. As an application, we derive Suzuki type fixed point in G-metric spaces. Our results generalize and extend various results in the existing literature. We also present some examples to illustrate our new theoretical results.

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Keywords

• Coincidence point
• convex contraction
• convex contraction of order 2
• Ćirić strong almost contraction.

MSC

•  47H10
•  54H25
•  54E50

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