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Recent Developments About Multivalued Weakly Picard Operators [PDF]

Bulletin of the Belgian Mathematical Society - Simon Stevin, 2015
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Gülhan Mınak, Ishak Altun
exaly   +6 more sources

A New Perspective for Multivalued Weakly Picard Operators [PDF]

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
exaly   +6 more sources

On a New Class of Multivalued Weakly Picard Operators on Complete Metric Spaces [PDF]

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
exaly   +4 more sources

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
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
exaly   +3 more sources

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
exaly   +3 more sources

Almost Weakly Picard Operators

Journal of Fixed Point Theory and Applications
Abstract 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
exaly   +2 more sources

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Some Applications of Weakly Picard Operators

Ninth International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC 2007), 2007
In this paper we present some notions and results from the weakly Picard operator theory. Applications to iterates of linear operators are given. Some open problems are also discussed.
Ioan A. Rus
exaly   +3 more sources