Our main tools of study include a nonlinear alternative of Leray-Schauder type, selection theorem due to Bressan and Colombo for lower semicontinuous multivalued maps, and a fixed point theorem for multivalued map due to Covitz and Nadler.
Our main tool of the study is the generalized quasilinearization method due to Lakshmikantham.
The main tool of our study are fixed point theorems due to Dhage for single-valued [27] and multi-valued [28] maps.
The main tools of our study are fixed point theorems.
The main tools of our study of the existence and multiplicity of positive solutions for this problem are the Schauder fixed point theorem, fixed point index theory, upper and lower solutions together with the monotone iterative technique, etc.
The main tool to study the stability of this implicit dynamic equation is a generalized direct Lyapunov method, and the results of this paper can be considered as a generalization of (1.1) and (1.2).
Moreover, iteration schemas are the only main tool to study fixed point problems of nonexpansive mappings and its various generalizations in spaces of non-positive sectional curvature.
Since its first appearance, the Banach contraction mapping principle has become the main tool to study contractions as they appear abundantly in a wide array of quantitative sciences.
In vivo studies are essential for the study of disease development and should be the main tool for studying the behavior of tumor cells.
The logic of action is the formal study of action in which formal languages are the main tool of analysis.
