Fixed point theorems for operators on partial metric spaces

Common coupled fixed point theorems in cone metric spaces for w-compatible mappings

“…Fixed point theorems on partial metric spaces have received a lot of attention in the last years (see, for instance, [2,3,4,5,6,7,8,9,10,14,15,16,17,22,23,24] and their references). Abbas et al [1] introduced the concept of w-compatible mappings and obtained coupled coincidence point and coupled point of coincidence for mappings satisfying a contractive condition in cone metric spaces.…”

Common fixed points for multivalued generalized contractions on partial metric spaces

“…He gave a modified version of Banach's contraction principle, more suitable in this context. Many authors followed his idea and gave their contributions in that sense, see for example [5][6][7]9,10,16,17,24,25,28,32]. Recently, Aydi, Abbas and Vetro [8] introduced the concept of a partial Hausdorff metric and extended the well known Nadler's fixed point theorem to such spaces.…”

Generalized Geraghty type mappings on partial metric spaces and fixed point results

“…Later on, Abdeljawad et al [1], Acar et al [2,3], Altun et al [4][5][6][7], Karapinar and Erhan [15], Oltra and Valero [17] and Valero [23] gave some generalizations of the result of Matthews. Also,Ćirić et al [8], Samet et al [21] and Shatanawi et al [22] proved some common fixed point results in partial metric spaces.…”