Unified multi-tupled fixed point theorems involving mixed monotone property in ordered metric spaces

Abstract

In this paper, we introduce a generalized notion of monotone property and prove some results regarding existence and uniqueness of multi-tupled fixed points for nonlinear contraction mappings satisfying monotone property in ordered complete metric spaces. Our results unify several classical and well known n-tupled (including coupled, tripled and quadruple ones) fixed point results existing in literature.

n-Tuplet Coincidence Point Theorems in Partially Ordered Probabilistic Metric Spaces

“…In 2013, Ertürk and Karakaya gave the concept oftuplet fixed point theorems in partially ordered metric spaces [20]. Alam, Imdad, and Ali unified -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.…”