• FIXED POINT THEOREMS FOR WEAKLY CONTRACTIVE TYPE SELF MAPS ON A PARTIALLY ORDERED SET WITH A METRIC
Abstract
In this paper, we prove fixed point theorems (existence and uniqueness) for weakly contractive type self maps on a partially ordered set with a metric. An example is given to show the existence of more than one fixed point if certain condition is violated. We observe that the fixed point set gives rise to a partition of partially ordered set.
Keywords
ordered metric space, rational expression, partially ordered set, weakly contractive map, weakly contractive type map.
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