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Fixed point results for α-implicit contractions with application to integral equations

Nonlinear Analysis: Modelling and Control, ISSN: 2335-8963, Vol: 21, Issue: 3, Page: 362-378
2016
  • 19
    Citations
  • 0
    Usage
  • 2
    Captures
  • 0
    Mentions
  • 0
    Social Media
Metric Options:   Counts1 Year3 Year

Metrics Details

  • Citations
    19
    • Citation Indexes
      19
  • Captures
    2

Article Description

Recently, Aydi et al. [On fixed point results for α-implicit contractions in quasi-metric spaces and consequences, Nonlinear Anal. Model. Control, 21(1):40-56, 2016] proved some fixed point results involving α-implicit contractive conditions in quasi-b-metric spaces. In this paper we extend and improve these results and derive some new fixed point theorems for implicit contractions in ordered quasi-b-metric spaces. Moreover, some examples and an application to integral equations are given here to illustrate the usability of the obtained results.

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