Banach's Fixed Point Theorem for Partial Metric Spaces

By S. Oltra, Ó. Valero. 2004

319 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/d192652ca899cdda284bb38cdbc849452c053539

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Citations in the corpus

On Banach fixed point theorems for partial metric spaces (2005, background): “In this paper we extend the notion of contraction between partial metric spaces to the dualistic partial metric context, and present two generalizations and one “local version” of the Banach fixed point theorem given in ([14]), which recuperate the several well-known classical fixed point theorems w”
A common fixed point theorem for cyclic operators on partial metric spaces (2012, background): “[24],[26]) Let (X, p) be a partial metric space.”
Be careful on partial metric fixed point results (2013, result): “Then, Valero [27], Oltra and Valero [21] and Altun, Sola and Simsek [4] gave some generalizations of the result of Matthews.”
A NOTE ON COMMON FIXED POINT THEOREMS IN PARTIAL METRIC SPACES (2011, background): “[1, 2, 8, 10–17, 20]) focused on this subject and generalized some fixed point theorems from the class of metric spaces to the class of partial metric spaces.”
Fixed point results on metric and partial metric spaces via simulation functions (2015, background): “In this section we recall some definitions and some properties of partial metric spaces that can be found in [12, 13, 14, 15, 16].”
Suzukiʼs type characterizations of completeness for partial metric spaces and fixed points for partially ordered metric spaces (2012, background): “First, we recall some definitions and some properties of partial metric spaces that can be found in [4,6,7,9,11].”
Fixed point results under various contractive conditions in partial metric spaces (2013, unknown): “, [1,3–5,8,11,14,15,19,22]) studied fixed”
Generalizations of Caristi Kirk's Theorem on Partial Metric Spaces (2011, unknown): “[3]-[8]) Let X be a nonempty set.”
Fixed Point Theorem for Cyclic Maps on Partial Metric spaces (2012, background): “The wide application potential of PMS resulted in immediate publications in the area [21], [26], [3], [4].”
Common fixed-point results for nonlinear contractions in ordered partial metric spaces (2011, background): “After that, fixed-point results in partial metric spaces have been studied [4,8,28,31,34,45].”