Abstract The aim is to introduce some relation theoretic variants of F−contraction in an F−metric space endowed with a binary relation R and to prove results for its fixed point. In the sequel, several classes of contractions are sharpened, generalized, and improved. Numerical examples are presented to illustrate the theoretical conclusions. As applications of the main results, we solve a Dirichlet-Neumann initial value problem and two Dirichlet boundary value problems.

Anita Tomar

Meena Joshi

On relation-theoretic F−contractions and applications in F−metric spaces

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Journal Info

Category	Quartile
MATHEMATICS	3