Fixed point theorems in orbitally 0-complete partial metric spaces via rational contractive conditions. (English) Zbl 1325.54042
Summary: We prove a fixed point result in orbitally 0-complete partial metric spaces, using a variant of almost contractive condition that involves a rational expression. Also, a common fixed point result in 0-complete partial metric spaces is obtained. Several consequences are deduced and examples are presented, showing that the given result can be used for proving the existence of (common) fixed points when some known results fail.
MSC:
| 54H25 | Fixed-point and coincidence theorems (topological aspects) |
| 54E40 | Special maps on metric spaces |
| 54E50 | Complete metric spaces |
References:
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