Universal Journal of Mathematics and Mathematical Sciences
Volume 5, Issue 2, Pages 109 - 119
(April 2014)
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A CONTRACTION PRINCIPLE IN PARTIAL S-METRIC SPACES
Nabil M. Mlaiki
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Abstract:
In this paper, we introduce the notion of partial S-metric space and we give an extension of the Banach contraction principle of the S-metric space to the partial S-metric space and we prove the existence of a fixed point for a self mapping on such space, which is going to generalize many results in S-metric space. |
| Keywords and phrases: functional analysis, fixed point theory, partial S-metric space. |
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