Results 11 to 20 of about 302 (133)
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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Differential Equations With Modified Argument, via Weakly Picard Operators’ Theory [PDF]
Carpathian Journal of Mathematics, 2013 In this paper we use Picard and weakly Picard operators technique, introduced by Ioan A. Rus, to study a class of differential equations with modified argument and a boundary value problem for this kind of equations. We obtain existence, uniqueness, comparison and data dependence results.
exaly +2 more sources
A Volterra Functional-Integral Equation, via Weakly Picard Operators Technique [PDF]
Carpathian Journal of Mathematics, 2014 In this paper we consider a Volterra functional-integral equation with linear modifications of the arguments. We use weakly Picard operators’ technique and we obtain existence and data dependence results for the solutions.
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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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The influence of theta-function to the class of MWP operators [PDF]
Mathematica 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
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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 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 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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Fixed-point results for convex orbital operators
Demonstratio Mathematica, 2023 The aim of this article is to introduce a new type of operator similar to those of A. Petruşel and G. Petruşel type (Fixed point results for decreasing convex orbital operators, J. Fixed Point Theory Appl. 23 (2021), no.
Popescu Ovidiu
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