Generalized contractions on partial metric spaces

By Ishak Altun, F. Sola, Hakan Simsek. 2010

416 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/b014b9136077a6eab1c6de610def379296165ff3

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In Geometry and Topology

Citations in the corpus

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].”
A NOTE ON COMMON FIXED POINT THEOREMS IN PARTIAL METRIC SPACES (2011, neutral): “[2, 9] ) (3) If we set r D q D 1 and ̨ D ˇ D 0 in (2.”
Fixed point results for generalized cyclic contraction mappings in partial metric spaces (2011, background): “in [5] (see also [3]) for the case that φ is a nondecreasing continuous function with φ(t) < t for all t > 0.”
SOME FIXED POINT RESULTS IN ORDERED PARTIAL METRIC SPACES (2011, background): “For more details, we refer the reader to [2, 4, 10, 13, 14, 16, 18, 19, 20, 22, 23].”
Fixed point results under various contractive conditions in partial metric spaces (2013, background): “2) with i = 3 or i = 4 were obtained in [1,3,4,19].”
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].”
weak φ-contraction on partial metric spaces and existence of fixed points in partially ordered sets (2011, neutral): “[3, 4, 5, 6, 16]) A partial metric space (See e.”
Interpolative Reich–Rus–Ćirić Type Contractions on Partial Metric Spaces (2018, neutral): “On the other hand, taking x = 0 and y = 1, we have, for any λ ∈ [0, (1)3 ), p(Tx, Ty) = 1 > 2λ = λ[p(x, y) + p(x, Tx) + p(y, Ty)], that is, Corollary 4 in [9] is not applicable.”
Be careful on partial metric fixed point results (2013, background): “The following result shows that Theorem 1 in [4] is a consequence of Theorem 2 in [6].”
A common fixed point theorem for cyclic operators on partial metric spaces (2012, neutral): “[1, 3, 20, 24]) Consider X = [0,∞) with p(x, y) = max{x, y}.”
Common fixed points for multivalued generalized contractions on partial metric spaces (2014, background): “([4] [26]) Let (X, p) be a partial metric space.”
A SUZUKI TYPE FIXED POINT THEOREM FOR A GENERALIZED MULTIVALUED MAPPING ON PARTIAL HAUSDORFF METRIC SPACES (2013, background): “Consistent with [2, 3, 4, 23], the following definitions and results will be needed in the sequel.”