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Coincidence theorems for comparable generalized non linear contractions in ordered partial metric spaces. (English) Zbl 1371.54178

Summary: In this paper, we prove some coincidence point theorems involving \(\varphi\)-contraction in ordered partial metric spaces. We also extend newly introduced notion of \(g\)-comparability of a pair of maps for linear contraction in ordered metric spaces to non-linear contraction in ordered partial metric spaces. Thus, our results extend, modify and generalize some recent well known coincidence point theorems of ordered metric spaces.

MSC:

54H25 Fixed-point and coincidence theorems (topological aspects)
54E40 Special maps on metric spaces
54F05 Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces
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