Geodesic
Fixed Point Theorems Via Various Cyclic Contractive Conditions in Partial Metric Spaces
Publications de l'Institut Mathématique, _N_S_93 (2013) no. 107, p. 69 .

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We present some fixed point results for mappings which satisfy Hardy-Rogers rational type, quasicontraction type, weak contraction type and generalized $f_\psi$ type cyclic conditions in $0$-complete partial metric spaces. Presented results generalize or improve many existing fixed point theorems in the literature. To demonstrate our results, we give throughout the paper some examples. One of the possible applications of our results to well-posed and limit shadowing property of fixed point problems is also presented.
Classification : 47H10 54C60 54H25 55M20
Keywords: cyclic contraction, partial metric space, control function 
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     author = {Hemant Kumar Nashine and Zoran Kadelburg and Stojan Radenovi\'c},
     title = {Fixed {Point} {Theorems} {Via} {Various} {Cyclic} {Contractive} {Conditions} in {Partial} {Metric} {Spaces}},
     journal = {Publications de l'Institut Math\'ematique},
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     year = {2013},
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Hemant Kumar Nashine; Zoran Kadelburg; Stojan Radenović. Fixed Point Theorems Via Various Cyclic Contractive Conditions in Partial Metric Spaces. Publications de l'Institut Mathématique, _N_S_93 (2013) no. 107, p. 69 . http://geodesic.mathdoc.fr/item/PIM_2013_N_S_93_107_a5/