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

Mitrofan M. Choban; Vasile Berinde

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arXiv · 1701.00518

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

Mitrofan M. Choban·Vasile Berinde

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Abstract

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 [Choban, M., Berinde, V., {\it A general concept of multiple fixed point for mappings defined on spaces with a distance} (submitted)] and also simplifies some concepts of multiple fixed point considered by various authors in the last decade or so.

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BibTeX RIS

Mitrofan M. Choban, Vasile Berinde. 2016-12-29. Multiple fixed point theorems for contractive and Meir-Keeler type mappings defined on partially ordered spaces with a distance. https://arxiv.org/abs/1701.00518

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