Title of article :
Some applications of fixed point results for generalized two classes of Boyd–Wong’s F-contraction in partial b-metric spaces
Author/Authors :
Singh, Deepak Department of Applied Sciences - NITTTR - Under Ministry of HRD - Govt. of India - Bhopal - M.P. 462002, India , Chauhan, Varsha Department of Mathematics - NRI Institute of Research and Technology - Bhopal, M.P, India , Kumam, Poom Theoretical and Computational Science (TaCS) Center - Department of Mathematics - Faculty of Science - King Mongkut’s University of Technology Thonburi (KMUTT) - 126 Pracha Uthit Rd., Bang Mod - Thung Khru - Bangkok 10140, Thailand , Joshi, Vishal Department of Mathematics - Jabalpur Engineering College - Jabalpur, M.P., India
Abstract :
In this paper, we will present some fixed point results for two classes of generalized contractions of Boyd–Wong type in
partial b-metric spaces. More precisely, the structure of the paper is the following. In section one, we present some useful
notions and results. The aim of section two is to introduce the concepts of Boyd–Wong F-contractions of type A and of
type B and establish some new common fixed point results in partial b-metric spaces. We show the validity and superiority
of our main results by suitable examples which are visualized by corresponding surfaces and related graphs. In section
three, we correct some slip-ups in some recent papers. Finally, in section four, two applications to integral equation and
periodic boundary value problem are included which make effective the new concepts and results.
Keywords :
Common fixed point , Partial metric spaces , b-metric spaces , F-contraction , a-Admissible
Journal title :
Astroparticle Physics
