A Note on 'n-tuplet Fixed Point Theorems for Contractive Type Mappings in Partially Ordered Metric Spaces'

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2013

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Abstract

In this note, we show that multidimensional fixed point theorems established in the recent report [M. Ertürk and V. Karakaya, n-tuplet fixed point theorems for contractive type mappings in partially orderedmetric spaces, Journal of Inequalities and Applications 2013, 2013:196] have gaps. Furthermore, the results of the mentioned paper can be reduced to unidimensional (existing) fixed point theorems. ©2013 Karapinar and Roldán; licensee Springer.

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Keywords

Multidimensional fixed point, Partially ordered metric space, Applied Mathematics, Discrete Mathematics and Combinatorics, Analysis, Fixed-point and coincidence theorems (topological aspects), Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces, multidimensional fixed point, Complete metric spaces, partially ordered metric space

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0101 mathematics, 01 natural sciences

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Journal of Inequalities and Applications

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2013

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