Fixed Point Theorems for Expansive Mappings Via Tri-Simulation Function In Metric Space

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2022 by IJMTT Journal
Volume-68 Issue-8
Year of Publication : 2022
Authors : Preeti Bhardwaj, Manoj Kumar
 10.14445/22315373/IJMTT-V68I8P510

How to Cite?

Preeti Bhardwaj, Manoj Kumar, "Fixed Point Theorems for Expansive Mappings Via Tri-Simulation Function In Metric Space," International Journal of Mathematics Trends and Technology, vol. 68, no. 8, pp. 109-115, 2022. Crossref, https://doi.org/10.14445/22315373/IJMTT-V68I8P510

Abstract
In this paper, we prove some fixed point theorems for expansive mappings in metric spaces with the aid of tri-simulation function.

Keywords : Tri-simulation function, Simulation function, α-permissible mapping.

Reference

[1] J. Ali, and M. Imdad,"An Implicit Function Implies Several Contraction Conditions", Sarajevo J. Math., vol. 4, pp. 269-285, 2008.
[2] H. Argoubi, B. Samet, and C. Vetro, "Nonlinear Contractions Involving Simulation Functions in a Metric Space with a Partial Order", J. Nonlinear Sci. Appl., vol. 8, no. 6, pp. 1082-1094, 2015.
[3] S. Banach, "On Operations in Abstract Sets and their Application to Integral Equations," Fund. Math., vol. 3, pp. 133-181, 1922.
[4] R. Gubran, A. Waleed and I. Mohammad, "Fixed Point Results via Tri-Simulation Function", vol. 45, pp. 419-430.
[5] R. Gubran, W. M. Alfaqieh, and M. Imdad, "Common Fixed Point Results for α-Admissible Mappings via Simulation Function", The Journal of Analysis, vol. 25, pp. 281-290, 2017.
[6] A. F. R. Hierro, E. Karaprinar, C. R. Hierro, and J. M. Moreno, "Coincifence Point Theorems on Metric Spaces via Simulation Functions", J. Comput. Appl. Math, vol. 275, pp. 345-355, 2015.
[7] M. Imdad, R. Gubran, M. Arif, and D. Gopal, "An Observation on α-type F-Contractions and Some Ordered-Theoretic Fixed Point Results", Mathematical Sciences,vol. 11, pp. 247-255, 2017.
[8] F. Khojasteh, S. Shukla, and S. Radenovie, "A New Approach to the Study of Fixed Point Theory for Simulation Functions", Filomat, vol. 29, pp. 1189-1194, 2015.
[9] E. Karapinar, P. Kumam, and P. Salimi, "On α − ψ - Meir-Keeler Contractive Mappings ", Fixed Point Theory Appl., no. 94, 2013.
[10] E. Karapinar,"Fixed Points Results via Simulation Functions," Filomat, vol. 30, pp. 2343-2350, 2016.
[11] H. Piri, and P. Kumam, "Wardowski Type Fixed Point Theorems in Complete Metric Spaces", Fixed Point Theory Appl., no. 45, 2016.
[12] V. Popa, "Fixed Point Theorems for Implicit Contractive Mappings," Stud. Cerc. St. Ser. Mat. Univ. Bacau, vol. 7, pp. 127-133, 1997.
[13] V. Popa, M. Imdad, and J. Ali, "Using Implicit Relations to Prove Unified Fixed Point Theorems in Metric and 2-Metric Spaces," Bull. Malays. Math. Sci. Soc., vol. 33, pp. 105-120, 2010.
[14] B. Samet,C. Vetro, and P. Vetro, "Fixed Point Theorems for α − ψ −Contractive Type Mappings," Nonlinear Anal., 2011.
[15] P. Shahi, J. Kaur, and S. Bhatia, "Fixed Point Theorems for (ξ, α)-Expansive Mappings in Complete Metric Spaces," Fixed Point. Theory Appl., pp. 157, 2012.
[16] S. Z. Wang, B. Y. Li, Z. M. Gao, and K. Iseki, "Some Fixed Point Theorems on Expansion Mappings", Math. Jpn., vol. 29, pp. 631-636, 1984.
[17] D. Wardowski," Fixed Points of a New Type of Contractive Mappings in Complete Metric Spaces", Fixed Point Theory Appl., no. 94, 2012.