A coupled coincidence point result in partially ordered metric spaces for compatible mappings
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Publication:988143
DOI10.1016/j.na.2010.06.025zbMath1229.54051OpenAlexW2000150509MaRDI QIDQ988143
Binayak S. Choudhury, Amaresh Kundu
Publication date: 26 August 2010
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2010.06.025
Complete metric spaces (54E50) Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Fixed-point and coincidence theorems (topological aspects) (54H25)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Compatible maps and invariant approximations
- Common fixed points of compatible mappings
- Common fixed point theorems for weakly compatible maps satisfying a general contractive condition
- Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces
- A common fixed point theorem for compatible quasi contractive self mappings in metric spaces
- Fixed point for set-valued mappings satisfying an implicit relation in partially ordered metric spaces
- Compatible mapping and common fixed points
- 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
- Fixed point theorems in partially ordered metric spaces and applications
- Some common fixed point theorems for weakly compatible mappings
- Coupled Random Fixed Point Theorems for Nonlinear Contractions in Partially Ordered Metric Spaces
- Commuting Mappings and Fixed Points
- A fixed point theorem in partially ordered sets and some applications to matrix equations
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