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

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

Authors

  • Venkata Ravindranadh Babu GUTTİ*, Vinod Kumar MADUGULA*

Keywords:

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

Abstract

In this paper, we introduce the notion of generalized Suzuki type ZG,\alpha,\mu,\eta -contraction with respect to \zeta by using the notion of CG-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.

 

References

Prof. Binayak S. Choudhury, Department of Mathematics, Bengal Engineering and Science University, West Bengal, India. Email : binayak12@yahoo.co.in binayak@becs.ac.in

Prof. Renu Chugh, Department of Mathematics, Maharshi Dayanand University, Rohtak, India. Email : chughrenu@yahoo.com

Prof. Kenan Tas, Department of Mathematics and Computer Science, Cankaya University, Ankara, Turkey. Email : kenan@cankaya.edu.tr

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Published

2019-12-31

Issue

Section

Articles

How to Cite

PPF Dependent Fixed Points of Generalized Suzuki Type Contractions via Simulation Functions. (2019). Advances in the Theory of Nonlinear Analysis and Its Application, 3(3), 121-140. https://mail.atnaea.org/index.php/journal/article/view/87