Title of article
Almost α-F-contraction, fixed points and applications
Author/Authors
Kumar, Deepak Department of Mathematics - Lovely Professional University, Phagwara, India , Tomar, Anita Department of Mathematics - Government Degree College Thatyur, Tehri Garhwal(Uttrakhand), India , Chandok, Sumit School of Mathematics - Thapar Institute of Engineering & Technology, Punjab, India , Ritu, Sharma Department of Mathematics - G. I. C. Gheradhar (Dogi) Tehri Garhwal (Uttrakhand), India
Pages
12
From page
375
To page
386
Abstract
In this manuscript, we initiate an almost α-F-contraction and an almost α-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
alpha-admissible , 0-complete fixed point , F-contraction , partial metric space
Journal title
International Journal of Nonlinear Analysis and Applications
Serial Year
2021
Record number
2701608
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