A survey of $\mathcal{C}-$class and pair upper-class functions in fixed point theory | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 155، دوره 13، شماره 1، خرداد 2022، صفحه 1879-1896 اصل مقاله (554.73 K) | ||
| نوع مقاله: Review articles | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.21162.2239 | ||
| نویسندگان | ||
| Arslan Hojat Ansari1؛ Anita Tomar* 2؛ Meena Joshi3 | ||
| 1Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran | ||
| 2Government Degree College Thatyur (Tehri Garhwal) Uttarakhand, India | ||
| 3S. G. R. R. (P. G.) College Dehradun, India | ||
| چکیده | ||
| We demonstrate that the $\mathcal{C}-$class functions, pair $(h,f)$ upper-class functions, cone $\mathcal{C}-$class functions, $1-1-$ up-class functions, multiplicative $\mathcal{C}-$class functions, inverse$-\mathcal{C}-$class functions, $\mathcal{C}_{F}-$simulation functions, $\mathcal{C}^{*}-$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. | ||
| کلیدواژهها | ||
| C−class؛ pair upper class؛ up-class؛ multiplicative C−class؛ inverse−C−class | ||
| مراجع | ||
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