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

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