an:06208294
Zbl 1273.54055
Golubovi??, Zoran; Kadelburg, Zoran; Radenovi??, Stojan
Common fixed points of ordered \(g\)-quasicontractions and weak contractions in ordered metric spaces
EN
Fixed Point Theory Appl. 2012, Paper No. 20, 11 p. (2012).
00323206
2012
j
54H25 54F05 54E40
partially ordered metric space; \(g\)-quasicontraction; weak contraction; coincidence point; common fixed point
Summary: We introduce ordered quasicontractions and \(g\)-quasicontractions in partially ordered metric spaces and prove the respective coincidence point and (common) fixed point results. An example shows that the new concepts are distinct from the existing ones. We also prove fixed point theorems for mappings satisfying so-called weak contractive conditions in the setting of partially ordered metric space. Hence, generalizations of several known results are obtained.