Fixed-point theorems for mappings satisfying the ordered contractive condition on noncommutative spaces

DOI10.1186/1687-1812-2014-30zbMath1390.47010OpenAlexW2086495829WikidataQ59324310 ScholiaQ59324310MaRDI QIDQ2017382

Lining Jiang, Qiaoling Xin

Publication date: 20 March 2015

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1812-2014-30

zbMATH Keywords

fixed-point theoremnoncommutative Banach spaceordered contractive condition

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Fredholm integral equations (45B05)

Related Items (9)

Common fixed point theorems for generalized \(k\)-ordered contractions and \(B\)-contractions on noncommutative Banach spaces ⋮ \(C^{\ast}\)-algebra-valued metric spaces and related fixed point theorems ⋮ Common coupled fixed point theorems on \(C^\star\)-algebra-valued partial metric spaces ⋮ Comments on the paper ``Best proximity points in noncommutative Banach spaces ⋮ Best proximity point for q-ordered proximal contraction in noncommutative Banach spaces ⋮ A fixed point approach to the stability of functional equations on noncommutative spaces ⋮ Solving an integral equation via \(\mathscr{C}^{\star}\)-algebra-valued partial \(b\)-metrics ⋮ Fixed point results for enriched ordered contractions in noncommutative Banach spaces ⋮ Best proximity points in noncommutative Banach spaces

Cites Work

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• Common fixed point theorems on generalized distance in ordered cone metric spaces
• Dynamic processes and fixed points of set-valued nonlinear contractions in cone metric spaces
• Fixed point and common fixed point theorems on ordered cone metric spaces
• Cone metric spaces and fixed point theorems of contractive mappings
• Common fixed points for four maps in cone metric spaces
• Contractive-like mapping principles in ordered metric spaces and application to ordinary differential equations
• Common fixed point theorems for ordered contractions and quasicontractions in ordered cone metric spaces
• Fixed point theorems for generalized contractions in ordered metric spaces
• A fixed point theorem in partially ordered sets and some applications to matrix equations
• Generalized contractions in partially ordered metric spaces
• A fixed point theorem for contraction type maps in partially ordered metric spaces and application to ordinary differential equations

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