On the range of nonlinear operators with linear asymptotes which are not invertible
On the regularity of solutions in Convex Integration theory.
On the Rockafellar theorem for -monotone multifunctions
Let X be an arbitrary set, and γ: X × X → ℝ any function. Let Φ be a family of real-valued functions defined on X. Let be a cyclic -monotone multifunction with non-empty values. It is shown that the following generalization of the Rockafellar theorem holds. There is a function f: X → ℝ such that Γ is contained in the -subdifferential of f, .
On the Schauder fixed point theorem
The paper contains a survey of various results concerning the Schauder Fixed Point Theorem for metric spaces both in single-valued and multi-valued cases. A number of open problems is formulated.
On the semigroup of mappings on Fréchet Montel space
On the semigroups of age-size dependent population dynamcis with spatial diffusion.
On the semilinear integro-differential nonlocal Cauchy problem
In this paper, we prove an existence theorem for the pseudo-non-local Cauchy problem , x₀(t₀) = x₀ - g(x), where A is the infinitesimal generator of a C₀ semigroup of operator on a Banach space. The functions f,g are weakly-weakly sequentially continuous and the integral is taken in the sense of Pettis.
On the solution of a class of equations with monotone operators by iteration and projection-iteration
On the solution set of a two point boundary value problem.
On the solutions of nonlinear initial-boundary value problems.
On the solutions of the inhomogeneous evolution equation in Banach spaces
Vengono dati nuovi teoremi di regolarità per le soluzioni dell'equazione nel caso in cui è il generatore infinitesimale di un semigruppo analitico in uno spazio di Banach e è una funzione continua.
On the solvability of a system of wave and beam equations.
On the Solvability of Semilinear Elliptic Equations with Nonlinear Boundary Conditions.
On the spectrum of -contracting operators.
On the stability analysis of Darboux problem on both bounded and unbounded domains
In this paper, we first investigate the existence and uniqueness of solution for the Darboux problem with modified argument on both bounded and unbounded domains. Then, we derive different types of the Ulam stability for the proposed problem on these domains. Finally, we present some illustrative examples to support our results.
On the Stability of Jungck–Mann, Jungck–Krasnoselskij and Jungck Iteration Processes in Arbitrary Banach Spaces
In this paper, we establish some stability results for the Jungck–Mann, Jungck–Krasnoselskij and Jungck iteration processes in arbitrary Banach spaces. These results are proved for a pair of nonselfmappings using the Jungck–Mann, Jungck–Krasnoselskij and Jungck iterations. Our results are generalizations and extensions to a multitude of stability results in literature including those of Imoru and Olatinwo [8], Jungck [10], Berinde [1] and many others.
On the stability of some fixed point iteration procedures with errors.
On the stability of the fixed point property in spaces.
On the strongly damped wave equation and the heat equation with mixed boundary conditions.
On the structure of fixed point sets of pseudo-contractive mappings. II.