FIXED POINTS OF EXPANSIVE MAPS IN PARTIAL CONE METRIC SPACES

Abstract

Matthews [10] introduced a new distance P on a nonempty set X, which he called a partial metric. Sonmez [16] introduced the notion of partial cone metric space and its topological characterization. In present paper, we define expansive map in partial cone metric space and prove some fixed point theorems for such maps. Our results extend the results of [4], [9], [17] in partial cone metric space. An example is given to support the usability of our results.

Keywords

• Partial cone metric space
• expanding mapping
• fixed point.

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