Results 151 to 160 of about 794,096 (172)

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
exaly   +4 more sources

On a broad category of multivalued weakly Picard operators [PDF]

Fixed Point Theory, 2017
In the present paper, considering a recent technique which is used by Jleli and Samet [10] for fixed points of single-valued maps, we introduce a new concept of multivalued theta-contractions on metric spaces and prove that some of such mappings are multivalued weakly Picard operators on complete metric space.
Gulhan Minak
exaly   +5 more sources

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.
Gulhan Minak, Ishak Altun
exaly   +5 more sources

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
exaly   +6 more sources

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
exaly   +4 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

Multivalued weakly Picard operators via simulation functions with application to functional equations

AIMS Mathematics, 2020
<abstract> <p>The aim of this paper is to introduce the notion of Suzuki type multivalued contraction with simulation functions and then to set up some new fixed point and data dependence results for these type of contraction mappings. We produce an example to support our results.
Thabet Abdeljawad, Habib Ur Rehman, Azhar Hussain   +2 more
exaly   +4 more sources

Data dependence of the fixed point set of some multivalued weakly Picard operators

Nonlinear Analysis: Theory, Methods & Applications, 2003
The authors study the continuous dependence of the fixed point set of multivalued so-called weakly Picard operators on data, as well as of \(R\)-operators in the sense of \textit{S. Reich} [Boll. Unione Mat. Ital., IV. Ser. 4, 1--11 (1971; Zbl 0219.54042)]. An application to the Uryson type integral inclusion \[ y(t)\in \int^b_a K(t,s,y(s))\,ds+ g(t) \]
Adrian Petrusel, Ioan A Rus, Alina Sı̂Ntămărian   +2 more
exaly   +2 more sources

Ulam Stability for Hilfer Type Fractional Differential Inclusions Via the Weakly Picard Operators Theory

Fractional Calculus and Applied Analysis, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abbas Said, Adrian Petrusel, Mouffak Benchohra   +2 more
exaly   +3 more sources