Fixed points of discontinuous multivalued increasing operators in Banach spaces with applications.

DOI10.1016/S0022-247X(03)00111-2zbMath1051.47042MaRDI QIDQ1399381

Shihuang Hong

Publication date: 30 July 2003

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

zbMATH Keywords

conefixed pointincreasing operatorpartial orderingrelatively weakly compact

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Set-valued operators (47H04)

Related Items (10)

Fixed points for mixed monotone multivalued operators in Banach spaces with applications ⋮ Coupled coincidence and common fixed point theorems for hybrid pair of mappings ⋮ Solvability of nonlinear impulsive Volterra integral inclusions and functional differential inclusions ⋮ Common fixed points for single-valued and multi-valued maps satisfying a generalized contraction in \(G\)-metric spaces ⋮ Comparison results for initial value problems of second-order impulsive integro-differential inclusions ⋮ Generalization of ordering principles and applications ⋮ Some coupled coincidence and common fixed point results for a hybrid pair of mappings in 0-complete partial metric spaces ⋮ Fixed points of discontinuous multivalued operators in ordered spaces with applications ⋮ Fixed points of multivalued operators in ordered metric spaces with applications ⋮ Common fixed point results for mappings with rational expressions

Cites Work

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• Coupled fixed points for mixed monotone condensing operators and an existence theorem of the solutions for a class of functional equations arising in dynamic programming
• Fixed point theorems for set-valued maps and existence principles for integral inclusions
• Fixed point for multivalued increasing operators
• A note on the existence of multiple fixed points for multivalued maps with applications
• On the behaviour of measures of noncompactness with respect to differentiation and integration of vector-valued functions
• Boundary value problems for nonlinear ordinary differential equations of second order in Banach spaces
• Weak Compactness in L 1 (μ, X)

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