Monotone increasing multi-valued condensing random operators and random differential inclusions.
Monotone iterative technique and connectedness of the set of solutions
The paper deals with the properties of a monotone operator defined on a subset of an ordered Banach space. The structure of the set of fixed points between the minimal and maximal ones is described.
Multiple fixed points of positive mappings.
Multiple positive solutions for a second order delay boundary value problem on the half-line
Second order nonlinear delay differential equations are considered, and Krasnosel'skiĭ's fixed point theorem is used to establish a result on the existence of positive solutions of a boundary value problem on the half-line. This result can be used to guarantee the existence of multiple positive solutions. A specification of the result obtained to the case of second order nonlinear ordinary differential equations as well as to a particular case of second order nonlinear delay differential equations...
Multiple positive solutions of fourth-order impulsive differential equations with integral boundary conditions and one-dimensional -Laplacian.
Multiplicity results for sign-changing solutions of an operator equation in ordered Banach space
In this paper, we prove some multiplicity results for sign-changing solutions of an operator equation in an ordered Banach space. The methods to show the main results of the paper are to associate a fixed point index with a strict upper or lower solution. The results can be applied to a wide variety of boundary value problems to obtain multiplicity results for sign-changing solutions.
Multivalued contraction with parameter
Multi-valued fixed point theorems by altering distance between the points.
Multivalued generalized contractions and fixed point theorems
Multi-valued operators and fixed point theorems in Banach algebras
In this paper, two multi-valued versions of the well-known hybrid fixed point theorem of Dhage [6] in Banach algebras are proved. As an application, an existence theorem for a certain differential inclusion in Banach algebras is also proved under the mixed Lipschitz and compactness type conditions.
Multivalued pseudo-contractive mappings defined on unbounded sets in Banach spaces
Let be a real Banach space. A multivalued operator from into is said to be pseudo-contractive if for every in , , and all , . Denote by the set . Suppose every bounded closed and convex subset of has the fixed point property with respect to nonexpansive selfmappings. Now if is a Lipschitzian and pseudo-contractive mapping from into the family of closed and bounded subsets of so that the set is bounded for some and some , then has a fixed point in .
Multivalued quasi variational inequalities in Banach spaces.