Results 1 to 10 of about 6,578 (131)
Systems of functional-differential equations with maxima, of mixed type [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2014 In this paper we study some properties of the solutions of a second order system of functional-differential equations with maxima, of mixed type, with ``boundary" conditions. We use Perov's fixed point theorem and the weakly Picard operator technique.
Diana Otrocol
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Relevant Classes of Weakly Picard Operators [PDF]
Annals of the West University of Timisoara: Mathematics and Computer Science, 2016 In this paper we consider the following problems:
Rus Ioan A.
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Recent developments about multivalued weakly Picard operators [PDF]
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ishak Altun
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Some Properties of Solutions of a Functional-Differential Equation of Second Order with Delay [PDF]
The Scientific World Journal, 2014 Existence, uniqueness, data dependence (monotony, continuity, and differentiability with respect to parameter), and Ulam-Hyers stability results for the solutions of a system of functional-differential equations with delays are proved.
Veronica Ana Ilea, Diana Otrocol
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Heuristic introduction to weakly Picard operator theory [PDF]
Creative Mathematics and Informatics, 2014 In this paper we study the impact of weakly Picard operator theory, [see I. A. Rus, Picard operators and applications, Sc. Math. Japonicae, 58 (2003), No. 1, 191–219] on the following problem: what can we do in order to find conditions under which a given operator is a weakly Picard operator?
Ioan A Rus
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Picard and weakly Picard operators technique for nonlinear differential equations in Banach spaces
Journal of Mathematical Analysis and Applications, 2012 The authors study nonlocal Cauchy problems for differential equations in Banach spaces. Using Picard and weakly Picard operators technique and suitable Bielecki norms, some existence, uniqueness and data dependence results are obtained under some mild conditions. They also discuss a class of impulsive Cauchy problems by adapting the same methods.
Jinrong Wang, Yong Zhou
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Almost weakly picard operators
Journal of Fixed Point Theory and ApplicationsAbstract In the present paper, we will introduce and exemplify the class of almost weakly Picard operator, taking into account some weak forms of the Picard operators, which is one of the most important concepts of metric fixed point theory, available in the literature.
Ishak Altun
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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.
Ishak Altun +2 more
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Frum-Ketkov operators which are weakly Picard [PDF]
Carpathian Journal of Mathematics, 2020 In this paper, we will give sufficient conditions ensuring that a Frum-Ketkov operator is weakly Picard. Some generalized Frum-Ketkov operators are also studied.
Petruşel, Adrian +2 more
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On a general class of weakly Picard operators [PDF]
Miskolc Mathematical Notes, 2015 In this paper we show that on complete metric spaces the class of weakly Picard operators contains some operators which are more general than the class of almost contractions.
Altun, Ishak +2 more
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