Almost $alpha$-$F$-contraction, fixed points and applications

Author(s):

Deepak Kumar , Anita Tomar , Sumit Chandok , Sharma Ritu

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

In this manuscript, we initiate an almost $alpha$-$F$-contraction and an almost $alpha$-$F$- weak contraction in the setting of partial metric spaces and establish adequate conditions for the presence of fixed points. The obtained results generalize the classical and recent results of the literature, which are validated by suitable examples. As applications of these established results, we solve a nonlinear fractional differential equation and a boundary value problem.

Keywords:

α-admissible , 0-complete partial metric space , Almost α-F-contraction , Almostα-F-weak contraction , Fixed point

Language:
English
Published:
International Journal Of Nonlinear Analysis And Applications, Volume:12 Issue: 2, Summer-Autumn 2021
Pages:
375 to 386
https://www.magiran.com/p2329950