Results 11 to 20 of about 811,291 (156)
On Multi-Valued Weakly Picard Operators in Hausdorff Metric-Like Spaces [PDF]
International Journal of Analysis and Applications, 2016 In this paper, we study multi-valued weakly Picard operators on Hausdorff metric-like spaces. Our results generalize some recent results and extend several theorems in the literature. Some examples are presented making effective our results.
Abdelbasset Felhi
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On multivalued P-contractive mappings that belongs to class of weakly Picard operators [PDF]
Fixed 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
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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.
Altun, Ishak +2 more
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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.
Hancer, Hatice Aslan +2 more
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On multivalued weakly Picard operators in partial Hausdorff metric spaces [PDF]
Fixed 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
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Weakly Picard pairs of some multivalued operators [PDF]
Mathematical Communications, 2003 The purpose of this paper is to present a partial answer to the following problem: Let (X,d) be a metric space and $T_1,T_2:X\to P(X)$ two multivalued operators. Determine the metric conditions which imply that (T_1,T_2) is a weakly Picard pair of multivalued operators and T_1, T_2 are weakly Picard multivalued operators.
Sîntărian, A.
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Multivalued Pseudo-Picard Operators and Fixed Point Results [PDF]
Journal 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
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Iterates of Bernstein Type Operators on a Triangle with All Curved Sides
Abstract and Applied Analysis, 2014 We consider some Bernstein-type operators as well as their product and Boolean sum for a function defined on a triangle with all curved sides. Using the weakly Picard operators technique and the contraction principle, we study the convergence of the ...
Teodora Cătinaş
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The Theory of Reich's Fixed Point Theorem for Multivalued Operators
Fixed Point Theory and Applications, 2010 The purpose of this paper is to present a theory of Reich's fixed point theorem for multivalued operators in terms of fixed points, strict fixed points, multivalued weakly Picard operators, multivalued Picard operators, data dependence of the fixed ...
Moţ Ghiocel +3 more
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Ulam-Hyers stability of fixed point equations for multivalued operators on KST spaces [PDF]
Surveys in Mathematics and its Applications, 2014 In this paper we define the notions of Ulam-Hyers stability on KST spaces and cw-weakly Picard operator for the multivalued operators case in order to establish a relation between these.
Liliana Guran Manciu
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