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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.
Gulhan Minak, Ishak Altun
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Picard and weakly Picard operators technique for nonlinear differential equations in Banach spaces [PDF]
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.
Yong Zhou, Jinrong Wang
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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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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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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.
Jelena Vujaković +2 more
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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.
Gulhan Minak, Ishak Altun
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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?
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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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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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The influence of theta-function to the class of MWP operators [PDF]
Mathematica Moravica, 2020 In this work, taking into account the theta-function, we present a general class of multivalued weakly Picard operators on complete metric space. We also provide an example showing that it includes some earlier classes as properly.
Altun Ishak, Durmaz Gonca
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