Fixed point theorems of binary contraction comparable operators and an application

DOI10.1155/2015/314749zbMath1418.47002OpenAlexW1822146040WikidataQ59105804 ScholiaQ59105804MaRDI QIDQ1723288

Zhan Liu, Chuan-Xi Zhu

Publication date: 19 February 2019

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/314749

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Other nonlinear integral equations (45G10) Fixed-point theorems (47H10) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)

Cites Work

• A new contraction mapping principle in partially ordered metric spaces and applications to ordinary differential equations
• Fixed point theorems for generalized contractions on partial metric spaces
• Fixed point theorems on nonlinear binary operator equations with applications
• Coupled and tripled fixed point theory in partially ordered metric spaces with application to initial value problem
• Nonlinear contraction theorems in probabilistic spaces
• Existence and uniqueness of fixed point in partially ordered sets and applications to ordinary differential equations
• Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations
• On the solution of nonlinear operator equations by a class of iterative processes
• Contractions and completely continuous mappings
• A fixed point theorem in partially ordered sets and some applications to matrix equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Fixed point theorems of binary contraction comparable operators and an application