PPF Dependent Fixed Points of Generalized Suzuki Type Contractions via Simulation Functions

Year 2019, Volume: 3 Issue: 3, 121 - 140, 31.08.2019

Venkata Ravindranadh Babu Gutti , Vinod Kumar Madugula

https://doi.org/10.31197/atnaa.588945

Cited By: 1

https://izlik.org/JA43GN74BN

Abstract

In this paper, we introduce the notion of generalized Suzuki type Z_{G,\alpha,\mu,\eta} -contraction with respect to \zeta by using the notion of C_G-simulation function introduced by Liu, Ansari, Chandok and Radenovic[21] and prove the existence PPF dependent fixed points in Banach spaces. We draw some corollaries and examples to illustrate our results.

Keywords

\alpha-admissible , \mu-subadmissible , C-class function , Suzuki type contraction , Razumukhin class , PPF dependent fixed point , simulation function , C_G simulation function

References

• 1. Prof. Binayak S. Choudhury, Department of Mathematics, Bengal Engineering and Science University, West Bengal, India. Email : [e-mail] [e-mail]
• 2. Prof. Renu Chugh, Department of Mathematics, Maharshi Dayanand University, Rohtak, India. Email : [e-mail]
• 3. Prof. Kenan Tas, Department of Mathematics and Computer Science, Cankaya University, Ankara, Turkey. Email : [e-mail]