Title of article :
A survey of C−class and pair upper-class functions in fixed point theory
Author/Authors :
Hojat Ansari, Arslan Department of Mathematics - Islamic Azad University Karaj Branch, Karaj, Iran , Tomar, Anita Government Degree College Thatyur (Tehri Garhwal) Uttarakhand, India , Joshi, Meena S. G. R. R. (P. G.) College Dehradun, India
Abstract :
We demonstrate that the C−class functions, pair (h,f) upper-class functions, cone C−class functions, 1−1− up-class functions, multiplicative C−class functions, inverse−C−class functions, CF−simulation functions, C∗−class functions are powerful and fascinating weapons for the generalization, improvement, and extension of considerable conclusions obtained in the fixed point theory. Towards the end, we point out some open problems whose answers could be interesting.
Keywords :
C−class , pair upper class , up-class , multiplicative C−class , inverse−C−class
Journal title :
International Journal of Nonlinear Analysis and Applications
