TY - JOUR
ID - 5880
TI - Non-linear contractions via auxiliary functions and fixed point results with some consequences
JO - International Journal of Nonlinear Analysis and Applications
JA - IJNAA
LA - en
SN -
AU - Chanda, Ankush
AU - Dey, Lakshmi Kanta
AU - Ansari, Arslan Hojat
AD - Department of Mathematics, Vellore Institute of Technology, Vellore, India
AD - Department of Mathematics, National Institute of Technology Durgapur, India
AD - Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran
Y1 - 2022
PY - 2022
VL - 13
IS - 1
SP - 2025
EP - 2042
KW - Fixed point
KW - $C$-class function
KW - $\mathcal{Z}_{F}$-contraction
KW - modified $\mathcal{Z}_F$-contraction
DO - 10.22075/ijnaa.2021.22017.2315
N2 - 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 $\mathcal{Z}_F$-contractions and enquire the existence and uniqueness of fixed points of such operators in the framework of $\theta $-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 $\theta $-metric spaces.
UR - https://ijnaa.semnan.ac.ir/article_5880.html
L1 - https://ijnaa.semnan.ac.ir/article_5880_1959641f522318979030492d42bbcd61.pdf
ER -