Multi-valued mappings and fixed points II

By B. Dhage. 2006

109 citations recorded by the source corpus.

In this paper, some hybrid fixed point principles for the sum of two multi-valued operators in a Banach space are proved and they are further applied to a certain integral inclu- sion of mixed type for proving the existence results under mixed Lipschitz and Carath´eodory conditions.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/aaba7380e9ba303620f1c15ee9eaf72dee3fdb2d

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

In Computational Theory and Mathematics

In Geometry and Topology

Citations in the corpus

Approximate Controllability for a Class of Second-Order Stochastic Evolution Inclusions of Clarke’s Subdifferential Type (2018, background): “Now we introduce the important definitions on multivalued map and one can refer [12,16] for more details related to this theory.”
Approximate controllability of fractional stochastic differential inclusions with nonlocal conditions (2016, background): “11: (41) Let B(0, r) and B[0, r] denote, respectively, the open and closed balls in aHilbert space H centered at the origin and of radius r and let : B[0, r] → Pcp,cv(H), is an u.”
Impulsive differential equations and inclusions (2006, background): “The following form of a fixed point theorem of Dhage [127] will be used while proving our main existence result.”