Existence of solution of Urysohn integral equation through generalized contractive mapping

Om Prakash Chauhan; Deepak Singh; Vishal Joshi; Mahendra Singh Rathore

doi:10.5269/bspm.v38i2.34265

Existence of solution of Urysohn integral equation through generalized contractive mapping

Om Prakash Chauhan Jabalpur Engineering College Department of Applied Mathematics
Deepak Singh NITTTR, (Under Ministry of HRD, Govt. of India) Department of Applied Sciences
Vishal Joshi Jabalpur Engineering College Department of Applied Mathematics
Mahendra Singh Rathore Chandra Shekhar Azad Govt. P.G. College Department of Mathematics

DOI: https://doi.org/10.5269/bspm.v38i2.34265

Resumen

In this note, we establish the existence of fixed point through fixed point theorems in the setting of partially ordered complex valued b- metric spaces. Then this fixed point is co-related as solution of equivalent operator equation of the Urysohn integral equation. In this process to make our results more authentic and meaningful we adopt an innovative way through visualling the given example supporting our findings. Naturally our results generalize some existing results.