Multidimensional Fixed-Point Theorems in Partially Ordered Complete Partial Metric Spaces under ()-Contractivity Conditions | Zendy

Antonio Francisco Roldán López de Hierro | Zendy; Juan MartínezMoreno | Zendy; Concepción Roldán | Zendy; Erdal Karapınar | Zendy

Open Access

Multidimensional Fixed-Point Theorems in Partially Ordered Complete Partial Metric Spaces under ()-Contractivity Conditions

Author(s) -

Antonio Francisco Roldán López de Hierro,

Juan MartínezMoreno,

Concepción Roldán,

Erdal Karapınar

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/634371

Subject(s) - mathematics , metric space , uniqueness , coincidence point , metric (unit) , fixed point theorem , pure mathematics , fixed point , discrete mathematics , combinatorics , mathematical analysis , operations management , economics

We study the existence and uniqueness of coincidence point for nonlinear mappings of any number of arguments under a weak ()-contractivity condition in partial metric spaces. The results we obtain generalize, extend, and unify several classical and very recent related results in the literature in metric spaces (see Aydi et al. (2011), Berinde and Borcut (2011), Gnana Bhaskar and Lakshmikantham (2006), Berzig and Samet (2012), Borcut and Berinde (2012), Choudhury et al. (2011), Karapınar and Luong (2012), Lakshmikantham and Ćirić (2009), Luong and Thuan (2011), and Roldán et al. (2012)) and in partial metric spaces (see Shatanawi et al. (2012))

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