TY - JOUR
ID - 8725
TI - Coincidence and common fixed point theorems for generalized αT-contraction via tri-simulation function with an application
JO - International Journal of Nonlinear Analysis and Applications
JA - IJNAA
LA - en
SN -
AU - Arora, Sahil
AD - Department of Mathematics, K.R.M.D.A.V. College, Nakodar-144040, Punjab, India
Y1 - 2024
PY - 2024
VL -
IS -
SP -
EP -
KW - tri-simulation function
KW - Coincident Point
KW - Common fixed point
KW - generalized $\alpha$ T -contraction
KW - alpha-permissible function
DO - 10.22075/ijnaa.2024.29098.4058
N2 - In this manuscript, we introduce the concept of generalized $\alpha \mathcal{T}$-contractive pair of mappings with the assistance of a tri-simulation function and use this concept to establish some coincidence and common fixed point theorems via $\alpha$-permissible mapping. We also give an illustrative example which yields the main result. Also, many existing results in the frame of metric spaces are established. We also apply our main theorem to derive coincidence and common fixed point results for $\alpha \mathcal{T}$-contractive mapping with the assistance of $\alpha$-permissible function.
UR - https://ijnaa.semnan.ac.ir/article_8725.html
L1 - https://ijnaa.semnan.ac.ir/article_8725_e7ce538d4ab0d5503a57a0fab97d4306.pdf
ER -