Abstract and Applied Analysis

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

Hamed H. Alsulami, Erdal Karapınar, Marwan A. Kutbi, and Antonio-Francisco Roldán-López-de-Hierro

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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.

Article information

Source
Abstr. Appl. Anal., Volume 2014 (2014), Article ID 235731, 8 pages.

Dates
First available in Project Euclid: 6 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1412606557

Digital Object Identifier
doi:10.1155/2014/235731

Mathematical Reviews number (MathSciNet)
MR3256241

Zentralblatt MATH identifier
07021965

Citation

Alsulami, Hamed H.; Karapınar, Erdal; Kutbi, Marwan A.; Roldán-López-de-Hierro, Antonio-Francisco. An Illusion: “A Suzuki Type Coupled Fixed Point Theorem”. Abstr. Appl. Anal. 2014 (2014), Article ID 235731, 8 pages. doi:10.1155/2014/235731. https://projecteuclid.org/euclid.aaa/1412606557


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