Multiple fixed point theorems for contractive and Meir-Keeler type mappings defined on partially ordered spaces with a distance

Choban Mitrofan; Berinde Vasile

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CHOBAN, Mitrofan, BERINDE, Vasile. Multiple fixed point theorems for contractive and Meir-Keeler type mappings defined on partially ordered spaces with a distance. In: Applied General Topology, 2017, nr. 2(18), pp. 317-330. ISSN 1576-9402. DOI: https://doi.org/10.4995/agt.2017.7067

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Applied General Topology

Numărul 2(18) / 2017 / ISSN 1576-9402

Multiple fixed point theorems for contractive and Meir-Keeler type mappings defined on partially ordered spaces with a distance

DOI:https://doi.org/10.4995/agt.2017.7067

Pag. 317-330

Choban Mitrofan¹, Berinde Vasile²

¹ Tiraspol State University,
² Technical University of Cluj-Napoca

Disponibil în IBN: 14 decembrie 2018

Rezumat

We introduce and study a general concept of multiple fixed point for mappings defined on partially ordered distance spaces in the presence of a contraction type condition and appropriate monotonicity properties. This notion and the obtained results complement the corresponding ones from [M. Choban, V. Berinde, A general concept of multiple fixed point for mappings defined on spaces with a distance, Carpathian J. Math. 33 (2017), no. 3, 275–286] and also simplifies some concepts of multiple fixed point considered by various authors in the last decade or so.

Cuvinte-cheie
Contraction condition, H-distance, Multiple fixed point, partial order, Quasi-metric space, Symmetric space,

distance space

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<dc:creator>Cioban, M.M.</dc:creator>
<dc:creator>Berinde, V.</dc:creator>
<dc:date>2017-10-15</dc:date>
<dc:description xml:lang='en'><p>We introduce and study a general concept of multiple fixed point for mappings defined on partially ordered distance spaces in the presence of a contraction type condition and appropriate monotonicity properties. This notion and the obtained results complement the corresponding ones from [M. Choban, V. Berinde, A general concept of multiple fixed point for mappings defined on spaces with a distance, Carpathian J. Math. 33 (2017), no. 3, 275&ndash;286] and also simplifies some concepts of multiple fixed point considered by various authors in the last decade or so.</p></dc:description>
<dc:identifier>10.4995/agt.2017.7067</dc:identifier>
<dc:source>Applied General Topology 18 (2) 317-330</dc:source>
<dc:subject>Contraction condition</dc:subject>
<dc:subject>distance space</dc:subject>
<dc:subject>H-distance</dc:subject>
<dc:subject>Multiple fixed point</dc:subject>
<dc:subject>partial order</dc:subject>
<dc:subject>Quasi-metric space</dc:subject>
<dc:subject>Symmetric space</dc:subject>
<dc:title>Multiple fixed point theorems for contractive and Meir-Keeler type mappings defined on partially ordered spaces with a distance</dc:title>
<dc:type>info:eu-repo/semantics/article</dc:type>
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