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

2016/01/07 by Aftab Alam, Alam, Aftab, Mohammad Imdad +3 · 1 citation
Mathematics · #FOS: Mathematics #Fixed Point Theorems Analysis #Functional Analysis (math.FA)

paper · pdf · doi:10.48550/arxiv.1601.02512

openalex publication_date 2016/01/07 · openalex created_date 2022/08/21 · openalex updated_date 2026/07/28

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.

Cited by

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

Related

• Unified multi-tupled fixed point theorems involving mixed monotone property in ordered metric spaces
• n-tuple fixed point in ϕ-ordered G-metric spaces
• Coupled coincidence point theorems for nonlinear contractions in partially ordered metric spaces
• Generalized coupled fixed point theorems for mixed monotone mappings in partially ordered metric spaces
• Coupled fixed point theorems for ϕ-contractive mixed monotone mappings in partially ordered metric spaces