A common fixed point theorem satisfying integral type implicit relations.
A common fixed-point theorem in 2 non-Archimedean Menger PM-space for R-weakly commuting maps of type (P).
A common unique fixed point theorem for two random operators in Hilbert spaces.
A compact evolution operator generated by a nonlinear time-dependent m-accretive operator in a Banach space.
A Construction of Stable Subharmonic Orbits in Monotone Time-periodic Dynamical Systems.
A continuation method for weakly Kannan maps.
A continuation method on locally convex spaces and applications to ordinary differential equations on noncompact intervals
A contractive fixed point free mapping on a weakly compact convex set
We prove the existence of a contractive mapping on a weakly compact convex set in a Banach space that is fixed point free. This answers a long-standing open question.
A convergence theorem for Mann fixed point iteration procedure.
A convergent nonlinear splitting via orthogonal projection
We study the convergence of the iterations in a Hilbert space , where maps into itself and is a linear projection operator. The iterations converge to the unique fixed point of , if the operator is continuous and the Lipschitz constant . If an operator satisfies these assumptions and is an orthogonal projection such that , then the operator is defined and continuous in and satisfies .
A converse to the Lions-Stampacchia theorem
In this paper we show that a linear variational inequality over an infinite dimensional real Hilbert space admits solutions for every nonempty bounded closed and convex set, if and only if the linear operator involved in the variational inequality is pseudo-monotone in the sense of Brezis.
A converse to the Lions-Stampacchia Theorem
In this paper we show that a linear variational inequality over an infinite dimensional real Hilbert space admits solutions for every nonempty bounded closed and convex set, if and only if the linear operator involved in the variational inequality is pseudo-monotone in the sense of Brezis.
A counter example on common periodic points of functions.
A counterexample to a theorem of Argyros
A counterexample to “An extension of Gregus fixed point theorem”.
A counterexample to the article “On the fixed points of affine nonexpansive mappings”.
A degree for a class of acyclic-valued vector fields in Banach spaces
A degree theory for a class of perturbed Fredholm maps.
A degree theory for a class of perturbed Fredholm maps. II.
A degree theory for compact perturbations of proper Fredholm mappings of index 0.