Results 21 to 30 of about 65 (53)
A general class of noninstantaneous impulsive fractional differential inclusions in Banach spaces
Advances in Difference Equations, 2017 In this paper we introduce the concept of a PC-mild solution to a general new class of noninstantaneous impulsive fractional differential inclusions involving the generalized Caputo derivative with the lower bound at zero in infinite dimensional Banach ...
JinRong Wang +3 more
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The Theory of Reich's Fixed Point Theorem for Multivalued Operators
Fixed Point Theory and Applications, 2010 The purpose of this paper is to present a theory of Reich's fixed point theorem for multivalued operators in terms of fixed points, strict fixed points, multivalued weakly Picard operators, multivalued Picard operators, data dependence of the fixed ...
Tania Lazăr +3 more
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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
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Ulam Stability for Partial Fractional Differential Inclusions via Picard Operators Theory
Electronic Journal of Qualitative Theory of Differential Equations, 2014 In the present paper, we investigate, using the Picard operator technique, some existence and Ulam type stability results for the Darboux problem associated to some partial fractional order differential inclusions.
Said Abbas +2 more
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Krasnoselskii's theorem in generalized Banach spaces and application
Electronic Journal of Qualitative Theory of Differential Equations, 2012 The purpose of this paper is to extend Krasnoselskii's fixed point theorem to the case of generalized Banach spaces for singlevalued and multivalued operators.
I. R. Petre, Adrian Petrusel
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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
Fixed points for multivalued contractions on a metric space [PDF]
Surveys in Mathematics and its Applications, 2010 The purpose of this paper is to prove a fixed point theorem for multivalued operators and a fixed point theorem for multivalued weakly Picard operators in the terms of τ -distance.
Liliana Guran
doaj
Computational and Mathematical Methods, Volume 2026, Issue 1, 2026.In this article, several new fixed point results are established by employing the Krasnoselskii iteration method for a pair of self‐mappings in Banach spaces. It explores the idea of enriched contraction, conditionally sequential absorbing mappings, and various types of continuity terms. Further, to support our main result, an example is provided which
Priya Goel +4 more
wiley +1 more source
International Journal of Differential Equations, Volume 2026, Issue 1, 2026.This article establishes common fixed‐point results for a pair of self‐mappings governed by a new Suzuki‐type contraction in the setting of complete b‐metric spaces. The proposed framework generalizes several existing contraction principles in the literature by relaxing the traditional triangle inequality and incorporating a Suzuki‐type restriction on ...
Manju Devi +3 more
wiley +1 more source
Sharp Best Proximity Point Results for Multivalued Operators in Extended Rectangular b‐Metric Spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.In this paper, we propose a novel extension of generalized distance, which we call the θ‐extended rectangular b‐generalized pseudo‐distance. This new concept generalizes and unifies several known notions of distance by incorporating a parameter θ, along with the framework of rectangular b‐metric spaces and pseudo‐distances.
Cholatis Suanoom +2 more
wiley +1 more source