Multivalued generalized contractions and fixed point theorems
Multivalued monotone mappings are almost everywhere single-valued
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.
Multivalued solutions of a linear functional equation
Multivalued superposition operators
Multi-valued superpositions [Book]
Necessary conditions on composition operators acting on Sobolev spaces of fractional order. The critical case 1 ... s ... n/p.
Neumann and periodic boundary-value problems for quasilinear ordinary differential equations with a nonlinearity in the derivative.
New class of boundary value problem for nonlinear fractional differential equations involving Erdélyi-Kober derivative
In this paper, we introduce a new class of boundary value problem for nonlinear fractional differential equations involving the Erdélyi-Kober differential operator on an infinite interval. Existence and uniqueness results for a positive solution of the given problem are obtained by using the Banach contraction principle, the Leray-Schauder nonlinear alternative, and Guo-Krasnosel'skii fixed point theorem in a special Banach space. To that end, some examples are presented to illustrate the usefulness...
New existence theorems of positive solutions for singular boundary value problems.
New fixed point free nonexpansive maps on weakly compact, convex subsets of L¹[0,1]
We show that every subset of L¹[0,1] that contains the nontrivial intersection of an order interval and finitely many hyperplanes fails to have the fixed point property for nonexpansive mappings.
New fixed point theorems of mixed monotone operators and applications to singular boundary value problems on time scales.
New hybrid iterative schemes for an infinite family of nonexpansive mappings in Hilbert spaces.
New iteration methods for asymptotically nonexpansive mappings in uniformly smooth real Banach spaces
New iteration methods for pseudocontractive and accretive operators in arbitrary Banach spaces
New iterative approximation methods for a countable family of nonexpansive mappings in Banach spaces.
New iterative scheme for finite families of equilibrium, variational inequality, and fixed point problems in Banach spaces.
New iterative schemes for asymptotically quasi-nonexpansive mappings.