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Coupled and Tripled Coincidence Point Results with Application to Fredholm Integral Equations

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Listed:
  • Marwan Amin Kutbi
  • Nawab Hussain
  • Jamal Rezaei Roshan
  • Vahid Parvaneh

Abstract

The aim of this paper is to define weak α‐ψ‐φ‐contractive mappings and to establish coupled and tripled coincidence point theorems for such mappings defined on Gb‐metric spaces using the concept of rectangular G‐α‐admissibility. As an application, we derive new coupled and tripled coincidence point results for weak ψ‐φ‐contractive mappings in partially ordered Gb‐metric spaces. Our results are generalizations and extensions of some recent results in the literature. We also present an example as well as an application to nonlinear Fredholm integral equations in order to illustrate the effectiveness of our results.

Suggested Citation

  • Marwan Amin Kutbi & Nawab Hussain & Jamal Rezaei Roshan & Vahid Parvaneh, 2014. "Coupled and Tripled Coincidence Point Results with Application to Fredholm Integral Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:568718
    DOI: 10.1155/2014/568718
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    References listed on IDEAS

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    1. Binayak S. Choudhury & Erdal Karapınar & Amaresh Kundu, 2012. "Tripled Coincidence Point Theorems for Nonlinear Contractions in Partially Ordered Metric Spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2012, pages 1-14, July.
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