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An Illusion: “A Suzuki Type Coupled Fixed Point Theorem”

Author

Listed:
  • Hamed H. Alsulami
  • Erdal Karapınar
  • Marwan A. Kutbi
  • Antonio-Francisco Roldán-López-de-Hierro

Abstract

We admonish to be careful on studying coupled fixed point theorems since most of the reported fixed point results can be easily derived from the existing corresponding theorems in the literature. In particular, we notice that the recent paper [Semwal and Dimri (2014)] has gaps and the announced result is false. The authors claimed that their result generalized the main result in [Ðoric and Lazović (2011)] but, in fact, the contrary case is true. Finally, we present a fixed point theorem for Suzuki type (α, r)‐admissible contractions.

Suggested Citation

  • Hamed H. Alsulami & Erdal Karapınar & Marwan A. Kutbi & Antonio-Francisco Roldán-López-de-Hierro, 2014. "An Illusion: “A Suzuki Type Coupled Fixed Point Theorem”," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:235731
    DOI: 10.1155/2014/235731
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    References listed on IDEAS

    as
    1. Pushpendra Semwal & Ramesh Chandra Dimri, 2014. "A Suzuki Type Coupled Fixed Point Theorem for Generalized Multivalued Mapping," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-8, April.
    2. Pushpendra Semwal & Ramesh Chandra Dimri, 2014. "A Suzuki Type Coupled Fixed Point Theorem for Generalized Multivalued Mapping," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
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