Fixed Point Theorems for Monotone Mappings on Partial Metric Spaces

Abstract

Matthews (1994) introduced a new distance "Equation missing" on a nonempty set "Equation missing", which is called partial metric. If "Equation missing" is a partial metric space, then "Equation missing" may not be zero for "Equation missing". In the present paper, we give some fixed point results on these interesting 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.…”

Characterizations of partial metric completeness in terms of weakly contractive mappings having fixed point

“…Several authors have recently contributed to a vigorous development of the theory of fixed point for some classes of generalized metric spaces, as cone metric spaces, quasi-metric spaces and partial metric spaces (see [1,2,3,4,5,6,9,13,15,17,18,23,26], etc.). In particular, Romaguera [23], and Acar, Altun and Romaguera [2], have obtained characterizations of 0-complete and complete partial metric spaces, respectively, in the style of the aforementioned Kirk characterization of metric completeness.…”

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.…”