Fixed Point Theorems for Asymptotically Contractive Multimappings

We present fixed point theorems for a nonexpansive set-valued mapping from a closed convex subset of a reflexive Banach space into itself under some asymptotic contraction assumptions. Some existence results of coincidence points and eigenvalues for multimappings are given.

• fixed point theorems
• set-valued mappings
• nonexpansive mappings
• coincidence points
• eigenvalues
• reflexive Banach spaces
• closed convex sets

• Fixed Point Theorems Analysis
• Optimization and Variational Analysis
• Nonlinear Differential Equations Analysis
• fixed point theorems
• set-valued mappings
• nonexpansive mappings
• coincidence points
• eigenvalues
• reflexive Banach spaces
• closed convex sets
• Geometry and Topology
• Computational Theory and Mathematics
• Applied Mathematics
• Mathematics
• Computer Science