Journal of Function Spaces (Jan 2021)

Edge Theoretic Extended Contractions and Their Applications

  • R. Rajagopalan,
  • Ekta Tamrakar,
  • Fahad. S. Alshammari,
  • H. K. Pathak,
  • Reny George

DOI
https://doi.org/10.1155/2021/5157708
Journal volume & issue
Vol. 2021

Abstract

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Edge theoretic extended contractions are introduced and coincidence point theorems and common fixed-point theorems are proved for such contraction mappings in a metric space endowed with a graph. As further applications, we have proved the existence of a solution of a nonlinear integral equation of Volterra type and given a suitable example in support of our result.