Results 11 to 20 of about 6,565 (158)
AIMS Mathematics, 2021 In this paper, we prove two existence results of solutions for an ψ-Hilfer fractional non-instantaneous impulsive differential inclusion in the presence of delay in an infinite dimensional Banah spaces.
A.G. Ibrahim, A.A. Elmandouh
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On a Volterra Integral Equation with Delay, via w-Distances
Mathematics, 2021 The paper deals with a Volterra integral equation with delay. In order to apply the w-weak generalized contraction theorem for the study of existence and uniqueness of solutions, we rewrite the equation as a fixed point problem. The assumptions take into
Veronica Ilea, Diana Otrocol
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Data Dependence, Strict Fixed Point Results, and Well-Posedness of Multivalued Weakly Picard Operators [PDF]
Journal of Mathematics, 2021 In this paper, we introduce the notion of s , r -contractive multivalued weakly Picard ...
Azhar Hussain +3 more
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Implicit functional differential equations with linear modification of the argument, via weakly Picard operator theory [PDF]
Carpathian Journal of Mathematics, 2021 "Let \mathbf{K}:=\mathbf{R}\text{ or }\mathbf{C},\text{ \ }0<\lambda <1 and f \in C([0,b] \times \textbf{K}^3,\textbf{K}). In this paper we use the weakly Picard operator theory technique to study the following functional-differential equation $$ y'(x)=f(x,y(x),y'(x),y(\lambda x)), x \in [0,b].$$ "
ANTON S. MUREŞAN, VIORICA MUREŞAN
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Fixed-point results for convex orbital operators
Demonstratio Mathematica, 2023 The aim of this article is to introduce a new type of operator similar to those of A. Petruşel and G. Petruşel type (Fixed point results for decreasing convex orbital operators, J. Fixed Point Theory Appl. 23 (2021), no.
Popescu Ovidiu
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A new approach to multivalued nonlinear weakly Picard operators [PDF]
Journal of Inequalities and Applications, 2019 Abstract The notion of nonlinear $(\mathcal{F}_{s}, \mathcal{L})$(Fs,L)-contractive multivalued operators is initiated and some related fixed point results are considered. We also give an example to show the validity of obtained theoretical results. Our results generalize many existing ones in the literature.
Aiman Mukheimer +5 more
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On multivalued P-contractive mappings that belongs to class of weakly Picard operators [PDF]
Fixed Point Theory, 2021 Summary: In the present paper, by introducing the \(P\)-contractivity of a multivalued mapping, we give a new class of multivalued weakly Picard operators on complete metric spaces and show that the class of multivalued contractions is a proper subset of this new class. We also give a nontrivial example showing this fact.
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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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Data dependence results of a new multistep and S-iterative schemes for contractive-like operators [PDF]
, 2012 In this paper, we prove that convergence of a new iteration and S-iteration can be used to approximate to the fixed points of contractive-like operators.
Gursoy, Faik +2 more
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Multivalued Pseudo-Picard Operators and Fixed Point Results
Journal of Function Spaces and Applications, 2013 We introduce the concept of multivalued pseudo-Picard (MPP) operator on a metric space. This concept is weaker than multivalued weakly Picard (MWP) operator, which is given by M. Berinde and V. Berinde (2007).
Gülhan Mınak, Özlem Acar, Ishak Altun
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