Tripled coincidence theorems for contractive type mappings in partially ordered metric spaces

摘要

In this paper, we establish tripled coincidence point theorems for a pair of mappings F:X×X×X→X and g:X→X satisfying a nonlinear contractive condition ordered metric spaces. Presented theorems extend reveral existing results in the literature: [V. Lakshmikantham, L. Ćirić, Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces, Nonlinear Anal. 70 (2009), 4341–4349], and Harjani, López and Sadarangani in article [ J. Harjani, B. López, K. Sadarangani, Fixed point theorems for mixed monotone operators and applications to integral equations, Nonlinear Anal. 74 (2011), 1749–1760].