A generalization of Banachs contraction principle for nonlinear contraction in a partial metric space

Shatanawi, Wasfi¹ ; Nashine, Hemant Kumar²

¹ Department of Mathematics, Hashemite University, Zarqa, Jordan
² Department of Mathematics, Disha Institute of Management and Technology, Satya Vihar, Vidhansabha-Chandrakhuri Marg, Naradha, Mandir Hasaud, Raipur-492101 (Chhattisgarh), India

Journal of nonlinear sciences and its applications, Tome 5 (2012) no. 1, p. 37-43.

Résumé

We establish a fixed point theorem for nonlinear contraction in a complete partial metric space. Our result generalizes the Banach type fixed point theorem in a partial metric space in the sense of Matthews.

Détail

DOI : 10.22436/jnsa.005.01.05

Classification : 54H25, 47H10
Keywords: Partial metric space, Banach principle, Fixed Point Theory.

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