Absolute stability and the Lagrange–Dirichlet theorem with monotone multivalued mappings

Absolute stability and the Lagrange-Dirichlet theorem with monotone multivalued mappings

This note presents an extension of the absolute stability problem and of the Lagrange–Dirichlet theorem, when the nonlinearities entering the model are considered within the class of monotone multivalued mappings (consequently including operators with piecewise-linear graphs that may represent physical e3ects like Coulomb friction, dead-zones, saturations, elasto-plasticity, and unilateral cons...

A Characterization Theorem for Monotone Mappings

Multivalued Possibilities Mappings

Abstraction mappings are one of the major tools used to construct correctness proofs for concurrent algorithms. Several examples are given of situations in which it is useful to allow the abstraction mappings to be muttivalued. The examples involve algorithm optimization, algorithm distribution, and proofs of time bounds.

Strong Convergence Theorems of Multivalued Nonexpansive Mappings and Maximal Monotone Operators in Banach Spaces

In this paper, we prove a strong convergence theorem for fixed points of sequence for multivalued nonexpansive mappings and a zero of maximal monotone operator in Banach spaces by using the hybrid projection method. Our results modify and improve the recent results in the literatures.

A Common Fixed Point Theorem for Multivalued Ćirić Type Mappings with New Type Compatibility

Kaneko and Sessa defined the concept of compatibility for multivalued mappings with Hausdorff metric and proved a coincidence point theorem. After then, Pathak defined the concept of weak compatibility and proved a coincidence theorem. In the present work, we define a new type compatibility for multivalued mappings with Hausdorff metric. This new type compatibility is different from compatibili...