Solving Integral Equations via Admissible Contraction Mappings

Gunasekaran Nallaselli, Arul Joseph Gnanaprakasam, Gunaseelan Mani, Ozgur Ege

Abstract


In the article, we introduce a new concept of admissible contraction and prove fixed point theorems which generalizes Banach contraction principle in a different way than in the known results from the literature. The article includes an example which shows the validity of our results, and additionally we obtain a solution of integral equation by admissible contraction mapping in the setting of b-metric spaces.

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