Existence of solution of Urysohn integral equation through generalized contractive mapping

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

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.

Keywords


Fixed point; Partially ordered complex valued b-metric space; Cauchy sequence; Urysohn integral equation

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DOI: http://dx.doi.org/10.5269/bspm.v38i2.34265



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ISSN 0037-8712 (print) and ISSN 2175-1188 (on-line)

 

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