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

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Original research article

Author(s):

Venkata Ravindranadh Babu Gutti^a, Vinod Kumar Madugula^b

^aDepartment of Mathematics, Andhra University, Visakhapatnam – 530 003, India
^bDepartment of Mathematics, Andhra University, Visakhapatnam – 530 003, India
Permanent Address: Department of Mathematics, Anil Neerukonda Institute of Technology and Science, Sangivalasa, Visakhapatnam – 531 162, India

Advances in the Theory of Nonlinear Analysis and its Applications 3(3), 121-140.

Received: July 8, 2019

Accepted: September 9, 2019

Published: September 18, 2019

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

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APA Style

Gutti, V. R. B., & Madugula, V. K. (2019). PPF dependent fixed points of generalized Suzuki type contractions via simulation functions. Advances in the Theory of Nonlinear Analysis and its Application, 3(3), 121-140.