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References in periodicals archive ?
Finally, we mention another interesting result which is a simple consequence of Banach's fixed point theorem.
According to some authors--including Nieto and Rodriguez-Lopez [6] or (quite recently) O'Regan and Petrusel [7]--this result is the first extension of the classical 1922 Banach's fixed point theorem [2] to the realm of (partially) ordered metric spaces.
In view of Banach's fixed point theorem, problem (3.1) has a unique solution.
In 1976, Jungck [15] proved a common fixed point theorem for commuting maps generalizing the Banach's fixed point theorem. This result was further generalized and extended in various ways by many authors.
Zamfirescu [38] established a nice generalization of the Banach's fixed point theorem by combining (1.2), (1.5) and (1.6).