Berinde Mappings in Ordered Metric Spaces

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Abstract

Recently, Samet and Vetro proved a fixed point theorem for mappings satisfying a general contractive condition of integral type in orbitally complete metric spaces (Samet and Vetro, Chaos Solitons Fractals 44:1075-1079, 2011). Our aim in this paper is to present a version of the results obtained in the above mentioned paper in the context of ordered metric spaces. Some examples are presented to distinguish our results from the existing ones.

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KARAPINAR, ERDAL/0000-0002-6798-3254

Keywords

Ordered metric spaces, Fixed point theory, Berinde type contraction, 12 Matemáticas, Berinde type contraction, Fixed point theory, Ordered metric spaces, Fixed-point and coincidence theorems (topological aspects), Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces, fixed point theory, Special maps on metric spaces, ordered metric spaces

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0101 mathematics, 01 natural sciences

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5

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109

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2

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353

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366

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8

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8

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