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Multivalued Pseudo-Picard Operators and Fixed Point Results [PDF]

open access: yesJournal of Function Spaces and Applications, 2013
We introduce the concept of multivalued pseudo-Picard (MPP) operator on a metric space. This concept is weaker than multivalued weakly Picard (MWP) operator, which is given by M. Berinde and V. Berinde (2007).
Gülhan Mınak, Özlem Acar, Ishak Altun
doaj   +4 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

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

open access: yesJournal of Inequalities and Applications, 2019
The notion of nonlinear (Fs,L) $(\mathcal{F}_{s}, \mathcal{L})$-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.
Jelena Vujaković   +2 more
exaly   +4 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 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.
Hancer, Hatice Aslan   +2 more
core   +4 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
openaire   +3 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

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
openaire   +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

Dynamics and Ulam Stability for Fractional q-Difference Inclusions via Picard Operators Theory

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021
In this manuscript, by using weakly Picard operators we investigate the Ulam type stability of fractional q-difference An illustrative example is given in the last section.
Abbas Saïd   +2 more
doaj   +1 more source

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