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Discussions on Recent Results for - -Contractive Mappings

Author

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  • N. Hussain
  • M. A. Kutbi
  • S. Khaleghizadeh
  • P. Salimi

Abstract

We establish certain fixed point results for -generalized convex contractions, -weakly Zamfirescu mappings, and -Ćirić strong almost contractions. As an application, we derive some Suzuki type fixed point theorems and certain new fixed point theorems in metric spaces endowed with a graph and a partial order. Moreover, we discuss some illustrative examples to highlight the realized improvements.

Suggested Citation

  • N. Hussain & M. A. Kutbi & S. Khaleghizadeh & P. Salimi, 2014. "Discussions on Recent Results for - -Contractive Mappings," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-13, March.
  • Handle: RePEc:hin:jnlaaa:456482
    DOI: 10.1155/2014/456482
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