New fixed point theorems for the sum of two mixed monotone operators of Meir–Keeler type and their applications to nonlinear elastic beam equations
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Fixed Point Theory and Applications"
DOI: 10.1007/s11784-020-00835-z
Abstract: In this paper, we present a new fixed point theorem for the sum of two mixed monotone operators of Meir–Keeler type on ordered Banach spaces through projective metric, which extends the existing corresponding results. As… read more here.
Keywords: two mixed; new fixed; sum two; mixed monotone ... See more keywords
Stability and Neimark–Sacker Bifurcation of Certain Mixed Monotone Rational Second-Order Difference Equation
Sign Up to like & getrecommendations! Published in 2021 at "Qualitative Theory of Dynamical Systems"
DOI: 10.1007/s12346-021-00515-4
Abstract: This paper investigates the local and global character of the unique positive equilibrium of certain mixed monotone rational second-order difference equation with quadratic terms. The equation’s corresponding associated map is always decreasing for the second… read more here.
Keywords: certain mixed; rational second; monotone rational; mixed monotone ... See more keywords
On Sufficient Conditions for Mixed Monotonicity
Sign Up to like & getrecommendations! Published in 2019 at "IEEE Transactions on Automatic Control"
DOI: 10.1109/tac.2019.2909815
Abstract: Mixed monotone systems form an important class of nonlinear systems that have recently received attention in the abstraction-based control design area. Slightly different definitions exist in the literature, and it remains a challenge to verify… read more here.
Keywords: control; mixed monotonicity; conditions mixed; sufficient conditions ... See more keywords
Specification-Guided Verification and Abstraction Refinement of Mixed Monotone Stochastic Systems
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DOI: 10.1109/tac.2020.3014142
Abstract: This article addresses the problem of verifying discrete-time stochastic systems against omega-regular specifications using finite-state abstractions. Omega-regular properties allow specifying complex behavior and encompass, for example, linear temporal logic. We focus on a class of… read more here.
Keywords: state; stochastic systems; mixed monotone; abstraction ... See more keywords
New Fixed Point Theorems and Application of Mixed Monotone Mappings in Partially Ordered Metric Spaces
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Function Spaces"
DOI: 10.1155/2018/9231508
Abstract: We consider the existence of a coupled fixed point for mixed monotone mapping F:X×X→X satisfying a new contractive inequality which involves an altering distance function in partially ordered metric spaces. We also establish some uniqueness… read more here.
Keywords: monotone; mixed monotone; metric spaces; partially ordered ... See more keywords