Fixed points in n-gonal graphical b-metric spaces under contractive conditions

In this paper, we will define a new metric space called n-gonal graphical b-metric space. We will also prove some fixed point theorems in said metric space and give suitable examples to illustrate our results. These results will help to solve many nonlinear convex models in machine learning and optimization by formulating them in fixed point schemes of optimization. Our paper opens the door for researchers to work in the intersecting area of machine learning and functional analysis in the frame work of n-gonal graphical b-metric space.

Automated summary

In this paper, a new metric space called n-gonal graphical b-metric space is defined. Some fixed point theorems are proven in this metric space, and suitable examples are given to illustrate the results. These findings contribute to solving nonlinear convex models in machine learning and optimization by formulating them as fixed point schemes. The paper opens up possibilities for researchers to explore the intersection between machine learning and functional analysis in the framework of n-gonal graphical b-metric space.