Results 11 to 20 of about 756,869 (169)
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.
Durmaz, Gonca, Altun, Ishak
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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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Some Properties of Solutions of a Functional-Differential Equation of Second Order with Delay [PDF]
The Scientific World Journal, 2014 Existence, uniqueness, data dependence (monotony, continuity, and differentiability with respect to parameter), and Ulam-Hyers stability results for the solutions of a system of functional-differential equations with delays are proved.
Veronica Ana Ilea, Diana Otrocol
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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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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
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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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Quantum stochastic operator cocycles via associated semigroups. [PDF]
, 2007 A recent characterisation of Fock-adapted contraction operator stochastic cocycles on a Hilbert space, in terms of their associated semigroups, yields a general principle for the construction of such cocycles by approximation of their stochastic ...
Wills, S. J., Lindsay, J. Martin
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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 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.
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On a Volterra Integral Equation with Delay, via w-Distances
Mathematics, 2021 The paper deals with a Volterra integral equation with delay. In order to apply the w-weak generalized contraction theorem for the study of existence and uniqueness of solutions, we rewrite the equation as a fixed point problem. The assumptions take into
Veronica Ilea, Diana Otrocol
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