Unified multi-tupled fixed point theorems involving mixed monotone property in ordered metric spaces
arXiv:1601.02509
Abstract
In the present article, we introduce a unified notion of multi-tupled fixed points and utilize the same to prove some existence and uniqueness unified multi-tupled fixed point theorems for Boyd-Wong type nonlinear contractions satisfying generalized mixed monotone property in ordered metric spaces. Our results unify several classical and well-known n-tupled (including coupled, tripled and quadrupled ones) fixed point results existing in the literature.
arXiv admin note: substantial text overlap with arXiv: 1601.02512