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Stability of a generalization of the Fréchet functional equation

Renata Malejki (2015)

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

We prove some stability and hyperstability results for a generalization of the well known Fréchet functional equation, stemming from one of the characterizations of the inner product spaces. As the main tool we use a fixed point theorem for some function spaces. We end the paper with some new inequalities characterizing the inner product spaces.

Stability of Markov processes nonhomogeneous in time

Marta Tyran-Kamińska (1999)

Annales Polonici Mathematici

We study the asymptotic behaviour of discrete time processes which are products of time dependent transformations defined on a complete metric space. Our sufficient condition is applied to products of Markov operators corresponding to stochastically perturbed dynamical systems and fractals.

Stability of Noor Iteration for a General Class of Functions in Banach Spaces

Alfred Olufemi Bosede (2012)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

In this paper, we prove the stability of Noor iteration considered in Banach spaces by employing the notion of a general class of functions introduced by Bosede and Rhoades [6]. We also establish similar result on Ishikawa iteration as a special case. Our results improve and unify some of the known stability results in literature.

Stieltjes differential problems with general boundary value conditions. Existence and bounds of solutions

Valeria Marraffa, Bianca Satco (2025)

Czechoslovak Mathematical Journal

We are concerned with first order set-valued problems with very general boundary value conditions u g ' ( t ) F ( t , u ( t ) ) , μ g -a.e. [ 0 , T ] , L ( u ( 0 ) , T ) ) = 0 involving the Stieltjes derivative with respect to a left-continuous nondecreasing function g : [ 0 , T ] , a Carathéodory multifunction F : [ 0 , T ] × 𝒫 ( ) and a continuous L : 2 . Using appropriate notions of lower and upper solutions, we prove the existence of solutions via a fixed point result for condensing mappings. In the periodic single-valued case, combining an existence theory for the linear case with a recent result involving...

Strictly convex metric spaces with round balls and fixed points

Inese Bula (2005)

Banach Center Publications

The paper introduces a notion of strictly convex metric space and strictly convex metric space with round balls. These objects generalize the well known concept of strictly convex Banach space. We prove some fixed point theorems in strictly convex metric spaces with round balls.

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