A Fixed Point Technique for Solving Boundary Value Problems in Branciari Suprametric Spaces
Branciari Suprametric Spaces
Abstract views: 256 / PDF downloads: 224
Keywords:
Branciari suprametric space, contraction, fixed point, nonlinear fractional differential equations of the Riemann-Liouville typeAbstract
The focus of the present article is to initiate the notion of Branciari suprametric spaces and to investigate some of its fundamental topological properties. An illustration is provided to validate the newly defined idea of Branciari suprametric spaces. Further two intriguing, fixed point results are proved, and a corollary is presented as an implication of our main result. The following is a specification of the analogue of the rectangle inequality in Branciari suprametric spaces $d_\mathcal{B}(\tau,\iota) \leq d_\mathcal{B}(\tau,\nu) + d_\mathcal{B}(\nu,\sigma) + d_\mathcal{B}(\sigma,\iota) + \mu d_\mathcal{B}(\tau,\nu) d_\mathcal{B}(\nu,\sigma) d_\mathcal{B}(\sigma,\iota)$ for all $\tau\neq \nu, \nu\neq \sigma$ and $\sigma\neq \iota$. Furthermore, by employing the results obtained, the present study intends to provide an appropriate solution for the nonlinear fractional differential equations of the Riemann-Liouville type.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2024 Results in Nonlinear Analysis
This work is licensed under a Creative Commons Attribution 4.0 International License.