- Gazi University Journal of Science
- Vol: 30 Issue: 1
- SOME FIXED POINT THEOREMS FOR ORDERED CONTRACTIONS IN PARTIAL B-METRIC SPACES
SOME FIXED POINT THEOREMS FOR ORDERED CONTRACTIONS IN PARTIAL B-METRIC SPACES
Authors : Satish Shukla
Pages : 345-354
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Publication Date : 2017-03-14
Article Type : Other
Abstract :In this paper, some fixed point theorems in a partial b-metric space endowed with a partial order are proved. The results of this paper generalize and extend the Banach contraction principle and some other known results in partial b-metric spaces endowed with a partial order. Some examples are given which illustrate the cases when new results can be applied while old ones cannot.Keywords : Partial order, partial b-metric space, b-metric space, contraction, fixed point.