Tripled fixed point theorems for contractive type mappings in partially ordered metric spaces

Common coupled fixed point theorems in cone metric spaces for w-compatible mappings

“…Note that, Berinde and Borcut [12] defined differently the notion of a tripled fixed point in the case of ordered sets in order to keep true the mixed monotone property. For more details, see [12].…”

Common fixed point results for probabilistic φ-contractions in generalized probabilistic metric spaces

“…Inspired by the works of [2], [12], and [22], in this paper, we try to give some new fixed point and common fixed point (common coupled fixed point, common tripled fixed point, and common quadruple fixed point) theorems under probabilistic ϕ-contractive in generalized probabilistic metric spaces proposed by Zhou et al [23]. The obtained results generalize the corresponding ones from [22].…”

“…The concept of tripled fixed point was introduced by Berinde and Borcut [2]. In their manuscript, some new tripled point theorems are obtained.…”

Note for the Tripled and Quadruple Fixed Points of the Mixed Monotone Mappings

“…Berinde and Borcut [3] introduced the notion of mixed monotone property for the mappings from X 3 to X.…”

“…In 2006, Gnana-Bhaskar and Lakshmikantham [4] introduced the concept of coupled fixed point and proved some coupled fixed point theorems for the mixed monotone mappings. Recently, the notions of tripled fixed point and quadruple fixed point were introduced by the authors in literatures [3] and [12], respectively. Meanwhile, the corresponding fixed point theorems were proved.…”