2016/01/07 by Aftab Alam, Alam, Aftab, Mohammad Imdad +3
Mathematics · #FOS: Mathematics #Functional Analysis (math.FA) #math.FA
paper · pdf · doi:10.48550/arxiv.1601.02509
arXiv admin note: substantial text overlap with arXiv: 1601.02512
arxiv created 2016/01/07 · arxiv updated 2016/01/12
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.