Results 31 to 40 of about 449 (81)
Ulam-Hyers stability for partial differential inclusions
Electronic Journal of Qualitative Theory of Differential Equations, 2012 Using the weakly Picard operator technique, we will present Ulam-Hyers stability results for integral inclusions of Fredholm and Volterra type and for the Darboux problem associated to a partial differential inclusion.
V. Lazar
doaj +1 more source
ON A NEW CLASS OF MULTIVALUED WEAKLY PICARD OPERATORS ON COMPLETE METRIC SPACES
Taiwanese Journal of Mathematics, 2015 In the present paper, the concept of nonlinear $F$-contraction formultivalued mappings in metric spaces is introduced and considering the new proof technique, which was used for single valued maps by Wardowski [D. Wardowski, Fixed points of a new type of contractive mappings in complete metric spaces, Fixed Point Theory Appl.
Altun, Ishak +2 more
openaire +2 more sources
Convergence and summable almost T-stability of the random Picard-Mann hybrid iterative process [PDF]
, 2015 The purpose of this paper is to introduce the random Picard-Mann hybrid iterative process. We establish the strong convergence theorems and summable almost T-stability of the random Picard-Mann hybrid iterative process and the random Mann-type ...
Kim, Jong Kyu, Okeke, G.A.
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Ulam-Hyers stability of fixed point equations for multivalued operators on KST spaces [PDF]
Surveys in Mathematics and its Applications, 2014 In this paper we define the notions of Ulam-Hyers stability on KST spaces and cw-weakly Picard operator for the multivalued operators case in order to establish a relation between these.
Liliana Guran Manciu
doaj
Dirichlet problem in Banach spaces: the bound sets approach [PDF]
, 2013 The existence and localization result is obtained for a multivalued Dirichlet problem in a Banach space. The upper-Carathéodory and Marchaud right-hand sides are treated separately because in the latter case, the transversality conditions derived by ...
Jan Andres +2 more
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CONVERGENCE AND ALMOST SURE T -STABILITY FOR RANDOM NOOR-TYPE ITERATIVE SCHEME [PDF]
, 2016 The purpose of this study is to introduce a Noor-type random iterative scheme and prove the convergence of this kind of random iterative scheme for certain -weakly con- tractive type random operators.
Eke, Kanayo Stella, Okeke, G.A.
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Discrete Dynamics in Nature and Society, Volume 2017, Issue 1, 2017., 2017 In this work, we consider a class of fractional stochastic differential system with Hilfer fractional derivative and Poisson jumps in Hilbert space. We study the existence and uniqueness of mild solutions of such a class of fractional stochastic system, using successive approximation theory, stochastic analysis techniques, and fractional calculus ...
Fathalla A. Rihan +3 more
wiley +1 more source
A unified theory of cone metric spaces and its applications to the fixed point theory [PDF]
, 2011 In this paper we develop a unified theory for cone metric spaces over a solid vector space. As an application of the new theory we present full statements of the iterated contraction principle and the Banach contraction principle in cone metric spaces ...
Proinov, Petko D.
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A New Class of Contraction in b‐Metric Spaces and Applications
Abstract and Applied Analysis, Volume 2017, Issue 1, 2017., 2017 A novel class of α‐β‐contraction for a pair of mappings is introduced in the setting of b‐metric spaces. Existence and uniqueness of coincidence and common fixed points for such kind of mappings are investigated. Results are supported with relevant examples. At the end, results are applied to find the solution of an integral equation.
Preeti Kaushik +3 more
wiley +1 more source
, 1995 Flows on the moduli space of the algebraic Riemann surfaces, preserving the periods of the corresponding solutions of the soliton equations are studied.
Grinevich, P. G., Schmidt, M. U.
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