We prove some fixed-point results for multivalued generalized nonlinear contractive mappings in partial metric spaces, which generalize and improve the corresponding recent fixed-point results due to Ćirić [L. B. Ćirić, “Multivalued nonlinear contraction mappings,” Nonlin. Anal., 71, 2716–2723 (2009)] and Klim and Wardowski [D. Klim and D. Wardowski, “Fixed-point theorems for set-valued contractions in complete metric spaces,” J. Math. Anal. Appl., 334, 132–139 (2007)].
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 66, No. 1, pp. 3–16, January, 2014.
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Aghajani, A., Allahyari, R. Fixed-Point Theorems for Multivalued Generalized Nonlinear Contractive Maps in Partial Metric Spaces. Ukr Math J 66, 1–15 (2014). https://doi.org/10.1007/s11253-014-0907-x
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DOI: https://doi.org/10.1007/s11253-014-0907-x