Thompson's metric and mixed monotone operators

DOI10.1006/jmaa.1993.1241zbMath0804.47054OpenAlexW2095005324MaRDI QIDQ1260894

Yong-Zhuo Chen

Publication date: 5 September 1993

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1993.1241

zbMATH Keywords

fixed point theorems of mixed monotone operatorsgeneralizations of Banach's fixed point theorem

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (17)

Fixed point theorems for a class of positive mixed monotone operators ⋮ Fixed point theorems for the sum of three classes of mixed monotone operators and applications ⋮ Fixed point theorems for nonlinear operators with and without monotonicity in partially ordered Banach spaces ⋮ Fixed point theorems for a class of mixed monotone operators with applications ⋮ Normal Cones and Thompson Metric ⋮ First results in suprametric spaces with applications ⋮ A coincidence point theorem and its applications to fractional differential equations ⋮ On the solvability of a cantilever-type boundary value problem by using the mixed monotone operator ⋮ Fixed point theorems for mixed monotone operators with perturbation and applications to fractional differential equation boundary value problems ⋮ Fixed point theorems for a class of mixed monotone operators ⋮ Fixed point theorems for a class of mixed monotone operators with convexity ⋮ The omega limit sets of Ray-contractive operators ⋮ The existence of a fixed point for the sum of two monotone operators ⋮ On fixed point theorems of mixed monotone operators and applications ⋮ A variant of the Meir-Keeler-type theorem in ordered Banach spaces ⋮ Path stability and nonlinear weak ergodic theorems ⋮ Continuation method for $\alpha $-sublinear mappings

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