Edge Theoretic Extended Contractions and Their Applications | Zendy

R. Rajagopalan | Zendy; Ekta Tamrakar | Zendy; Fahad Sameer Alshammari | Zendy; H. K. Pathak | Zendy; Reny George | Zendy

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Edge Theoretic Extended Contractions and Their Applications

Author(s) -

R. Rajagopalan,

Ekta Tamrakar,

Fahad Sameer Alshammari,

H. K. Pathak,

Reny George

Publication year - 2021

Publication title -

journal of function spaces

Language(s) - English

Resource type - Journals

eISSN - 2314-8896

pISSN - 2314-8888

DOI - 10.1155/2021/5157708

Subject(s) - coincidence point , metric space , mathematics , contraction (grammar) , nonlinear system , coincidence , fixed point theorem , edge contraction , enhanced data rates for gsm evolution , graph , complete metric space , discrete mathematics , pure mathematics , mathematical analysis , computer science , line graph , physics , voltage graph , medicine , telecommunications , alternative medicine , quantum mechanics , pathology

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.

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