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Data Dependence, Strict Fixed Point Results, and Well-Posedness of Multivalued Weakly Picard Operators [PDF]

open access: yesJournal of Mathematics, 2021
In this paper, we introduce the notion of s , r -contractive multivalued weakly Picard ...
Azhar Hussain   +3 more
wiley   +5 more sources

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

open access: yesFixed 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

Recent developments about multivalued weakly Picard operators [PDF]

open access: yesBulletin of the Belgian Mathematical Society - Simon Stevin, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gulhan Minak, Ishak Altun
exaly   +6 more sources

On multivalued P-contractive mappings that belongs to class of weakly Picard operators [PDF]

open access: yesFixed Point Theory, 2021
Summary: In the present paper, by introducing the \(P\)-contractivity of a multivalued mapping, we give a new class of multivalued weakly Picard operators on complete metric spaces and show that the class of multivalued contractions is a proper subset of this new class. We also give a nontrivial example showing this fact.
Hançer, Hatice Aslan
exaly   +4 more sources

A new perspective for multivalued weakly Picard operators

open access: yesPublications 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

open access: yesTaiwanese 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

On multivalued weakly Picard operators in partial Hausdorff metric spaces [PDF]

open access: yesFixed Point Theory and Applications, 2015
AbstractWe discuss multivalued weakly Picard operators on partial Hausdorff metric spaces. First, we obtain Kikkawa-Suzuki type fixed point theorems for a new type of generalized contractive conditions. Then, we prove data dependence of a fixed points set theorem.
Jleli, Mohamed   +3 more
core   +6 more sources

A new approach to multivalued nonlinear weakly Picard operators [PDF]

open access: yesJournal 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
exaly   +3 more sources

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

open access: yesAIMS 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   +2 more
exaly   +4 more sources

The influence of theta-function to the class of MWP operators [PDF]

open access: yesMathematica 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
doaj   +1 more source

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