A multiplicity fixed point theorem in Fréchet spaces.
A general coincidence theory for set-valued maps.
Fuzzy multivalued variational inclusions in Banach spaces.
Fixed point theorems for set-valued contraction type maps in metric spaces.
Solvability of some singular and nonsingular nonlinear third order boundary value problems
Existence of positive solution to certain classes of singular and nonsingular third order nonlinear two point boundary value problems is examined using the idea of Topological Transversality.
Auxiliary principle and fuzzy variational-like inequalities.
Antiperiodic boundary value problems for finite dimensional differential systems.
Existence of periodic solutions for a class of even order differential equations with deviating argument.
Coincidence point, best approximation, and best proximity theorems for condensing set-valued maps in hyperconvex metric spaces.
Best proximity pairs theorems for continuous set-valued maps.
Existence results for generalized vector equilibrium problems with multivalued mappings via KKM theory.
Best proximity pairs for upper semicontinuous set-valued maps in hyperconvex metric spaces.
Existence and controllability results for semilinear neutral functional differential inclusions with nonlocal conditions
In this paper, we prove existence and controllability results for first and second order semilinear neutral functional differential inclusions with finite or infinite delay in Banach spaces, with nonlocal conditions. Our theory makes use of analytic semigroups and fractional powers of closed operators, integrated semigroups and cosine families.
On a generalization of a theorem of S. Bernstein
Topological transversality. Applications to initial-value problems
Fixed point theory for multivalued maps in Fréchet spaces via degree and index theory
New fixed point results are presented for multivalued maps defined on subsets of a Fréchet space E. The proof relies on the notion of a pseudo open set, degree and index theory, and on viewing E as the projective limit of a sequence of Banach spaces.
Existence of solutions for a second order problem on the half-line via Ekeland's variational principle
In this paper we study the existence of nontrivial solutions for a nonlinear boundary value problem posed on the half-line. Our approach is based on Ekeland’s variational principle.
Existence and multiplicity of solutions for a -Kirchhoff type problem via variational techniques
This paper discusses the existence and multiplicity of solutions for a class of -Kirchhoff type problems with Dirichlet boundary data of the following form where is a smooth open subset of and with , , are positive constants and is a continuous function. The proof is based on critical point theory and variable exponent Sobolev space theory.
Existence of positive solutions for a fourth-order differential system
This paper investigates the existence of positive solutions for a fourth-order differential system using a fixed point theorem of cone expansion and compression type.
Controllability results for first and second order evolution inclusions with nonlocal conditions
We prove controllability results for first and second order semilinear differential inclusions in Banach spaces with nonlocal conditions.
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