Results 1 to 10 of about 302 (133)
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.
doaj +3 more sources
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.
Gülhan Mınak, Ishak Altun
exaly +5 more sources
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.
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.
Yong Zhou, Jinrong Wang
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A New Perspective for Multivalued Weakly Picard Operators
Publications De L'Institut Mathematique, 2017 This research contains some recent developments about multivalued weakly Picard operators on complete metric spaces. In addition, taking into account both multivalued ?-contraction and almost contraction on complete metric spaces, we present a new perspective for multivalued weakly Picard operators.
Ishak Altun, Gonca Durmaz
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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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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.
Gülhan Mınak, Ishak Altun
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On the Solution of Steinhaus Functional Equation Using Weakly Picard Operators
Filomat, 2011 In this paper we obtain existence results regarding the solutions g of a Steinhaus type functional equation of the form g(x)+ g(f(x))= F(x), under the significantly weaker assumption that f is a weakly Picard operator. The solutions are given in terms of sums of either convergent series or divergent series but summable by some method of ...
Vasile Berinde
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A Fixed Point Theorem for Multi-Valued Weakly Picard Operators in B-METRIC SPACE [PDF]
Demonstratio Mathematica, 2009 AbstractIn this paper, we establish a fixed point theorem for multi-valued operators in a ...
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