A fixed point theorem for non-expansive mappings on compact metric spaces.
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Publications de l'Institut Mathématique [Elektronische Ressource]
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The notions of compatible mappings play a crucial role in metrical fixed point theory. Partial metric spaces are a generalization of the notion of a metric space in the sense that distance of a point from itself is not necessarily zero. In this paper, we prove coincidence and fixed point theorems for a pair of single-valued and multi-valued weak compatible mappings on a complete partial metric space. Our main results generalize, in particular, the results of Kaneko and Sessa (1989),...
Cho, Yeol Je, Park, Keun Saeng, Chang, Shihsen (1996)
International Journal of Mathematics and Mathematical Sciences
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