Abstract
In this paper, we investigate existence of n-tuplet coincidence point theorems in partially ordered probabilistic metric spaces. Also, we gave uniqueness of n-tuplet fixed point theorems in this space.
Highlights
Probabilistic metric spaces were introduced by Menger in his fundamental paper [1] in 1942
Bhaskar and Lakshmikantham introduced the notion of mixed monotone property and gave some coupled fixed point theorems in ordered metric spaces in 2006 [11]
Imdad, and Ali unified n-tuplet fixed point results in ordered metric space in 2016 [21]
Summary
Probabilistic metric spaces were introduced by Menger in his fundamental paper [1] in 1942. Bhaskar and Lakshmikantham introduced the notion of mixed monotone property and gave some coupled fixed point theorems in ordered metric spaces in 2006 [11]. Imdad, and Ali unified n-tuplet fixed point results in ordered metric space in 2016 [21] Their survey article is recommended to someone who wants to have details about this theory. Hu and Ma studied couple coincidence point theorems in partially ordered probabilistic metric spaces in [22]. Binayak S. et al [23] gave tripled coincidence point results in partially ordered probabilistic metric spaces. Inspired by the above studies, we introduce n-tuplet fixed point theorems in partially ordered probabilistic metric spaces. These are the extensions of coupled and tripled fixed points in partially ordered probabilistic metric spaces
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