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Some Fixed Point Theorems in -Metric Space Endowed with Graph

Author

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  • Maria Samreen
  • Tayyab Kamran
  • Naseer Shahzad

Abstract

We define some notions of contraction mappings in -metric space endowed with a graph and subsequently establish some fixed point results for such classes of contractions. According to the applications of our results, we obtain fixed point theorems for cyclic operators and an existence theorem for the solution of an integral equation.

Suggested Citation

  • Maria Samreen & Tayyab Kamran & Naseer Shahzad, 2013. "Some Fixed Point Theorems in -Metric Space Endowed with Graph," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-9, October.
  • Handle: RePEc:hin:jnlaaa:967132
    DOI: 10.1155/2013/967132
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    Cited by:

    1. Tayyab Kamran & Maria Samreen & Qurat UL Ain, 2017. "A Generalization of b -Metric Space and Some Fixed Point Theorems," Mathematics, MDPI, vol. 5(2), pages 1-7, March.

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