Monotonic extensions of operators into compact sets

TL;DR

This paper develops a framework for extending operators monotonically into compact sets within dual systems, employing nonlinear analysis tools to generalize existing theories.

Contribution

It introduces a novel method for monotonic extensions of operators into compact sets using dual system frameworks and nonlinear analysis techniques.

Findings

Established monotonic extension methods in dual systems.

Applied nonlinear analysis tools to operator extensions.

Provided a general framework for compact set extensions.

Abstract

Monotonic extensions of operators into compact sets are established in the general framework of dual systems, utilizing tools from nonlinear analysis.