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

arXiv:1601.02512

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.

arXiv admin note: substantial text overlap with arXiv: 1601.02509