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Some Results for Fuzzy Dominated Maps and Related Applications in Graph Theory, Integral Equations and Functional Equations in Dynamic Programming
  • +1
  • Tahair Rasham,
  • Aqeel Shahzad,
  • Giuseppe Marino,
  • Abdullah Shoaib
Tahair Rasham
International Islamic University, H-10, Islamabad - 44000, Pakistan.

Corresponding Author:tahir_resham@yahoo.com

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Aqeel Shahzad
Department of Mathematics and Statistics, Riphah International University, Islamabad - 44000, Pakistan.
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Giuseppe Marino
Università della Calabria
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Abdullah Shoaib
Department of Mathematics and Statistics, Riphah International University, Islamabad, Pakistan
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Abstract

This paper is devoted to find out some realization of the concept of b-metric like space. First, we attain a fixed point for two fuzzy mappings satisfying a suitable requirement of contractiveness. Subsequently, we apply such result to graphic contractions. Also, we attain a unique solution for a system of integral equations and lastly we give an application to ensure that there exists a common bounded solution of a suitable functional equation in dynamic programming.