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
Keywords: Fixed point, Partially ordered complex valued b-metric space, Cauchy sequence, Urysohn integral equation

Abstract

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.

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Published
2018-02-19
Issue
Vol 38 No 2 (2020)
Section
Articles

Copyright (c) 2018 Boletim da Sociedade Paranaense de Matemática

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