Title of article :
Non-linear contractions via auxiliary functions and fixed point results with some consequences
Author/Authors :
Chanda, Ankush Department of Mathematics - Vellore Institute of Technology, Vellore, India , Kanta Dey, Lakshmi Department of Mathematics - National Institute of Technology Durgapur, India , Hojat Ansari, Arslan Department of Mathematics - Islamic Azad University Karaj Branch, Karaj, Iran
Abstract :
In this manuscript, we bring into play the essence of a new class of auxiliary functions, C-class functions, and exhibited some fixed point results. Notably, in this draft, we come up with the idea of modified ZF-contractions and enquire the existence and uniqueness of fixed points of such operators in the framework of θ-metric spaces. Concerning the interpretation of the achieved results, some non-trivial examples are also studied. From obtained theorems, we derive several related fixed point results in usual metric spaces and θ-metric spaces.
Keywords :
Fixed point , C-class function , ZF-contraction , modified ZF -contraction
Journal title :
International Journal of Nonlinear Analysis and Applications
