Fixed point theorems for weakly contractive mappings in partially ordered sets

By Jackie Harjani, Kishin B. Sadarangani. 2009

420 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/4e2cb7da1556c9fa8a41804bfa5149cc3849b8a6

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In Geometry and Topology

Citations in the corpus

A generalization of Geraghty's theorem in partially ordered metric spaces and applications to ordinary differential equations (2012, background): “The existence of a fixed point, a common fixed point and a couple fixed point for some kinds of contraction type mappings in cone metric spaces, partially ordered metric spaces and fuzzy metric spaces has been considered recently by some authors [1-28] and, by using fixed point theorems, some of the”
Nonlinear contractions involving simulation functions in a metric space with a partial order (2015, result): “Further, several results appeared in this direction, we mention [1, 2, 3, 4, 5, 7, 8, 9, 10, 13] and the references therein.”
FIXED POINTS FOR MULTIVALUED CONTRACTIONS IN $b$-METRIC SPACES WITH APPLICATIONS TO FRACTALS (2014, result): “Our results extend and complement some previous theorems given in [1, 2, 4, 5, 6], etc.”
SOME FIXED POINT RESULTS IN ORDERED PARTIAL METRIC SPACES (2011, background): “[8] Let (X,≤) be a partially ordered set and suppose that there exists a metric d in X such that (X, d) is a complete metric space.”
Fixed point theorem for generalized weak contractions satisfying rational expressions in ordered metric spaces (2011, background): “3 were presented in [4-9] and references therein.”
Some Coincidence Point Theorems for Nonlinear Contraction in Ordered Metric Spaces (2011, background): “Harjani and Sadarangani [7,8] obtained some fixed point theorems in a complete ordered metric space using altering distance functions.”