New Fixed Point Results for Some Rational Contraction on (\phi , \psi)-Metric Spaces

In this article, we define  generalized (\varphi,\sigma,\gamma)-rational contraction, generalized (\alpha\beta,\varphi\theta,F)-rational  contraction  and establish some new fixed  point results in (\phi,\psi)-metric space. We also present instances to support our main results. We will use the results we obtained to investigate the existence and uniqueness of solutions to first-order differential equations.

کلیدواژه ها:

Fixed point ، (ϕ ، ψ)-metric space ، Generalized (ϕ ، σ ، γ)-rational contraction ، Generalized (α ، β ، ϕ ، θ ، F)-rational contraction ، First order differential equations