Results 11 to 20 of about 6,601 (154)
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
doaj +1 more source
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
openaire +2 more sources
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
doaj +1 more source
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.
openaire +2 more sources
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
openaire +4 more sources
A new approach to multivalued nonlinear weakly Picard operators [PDF]
Journal 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.
Aiman Mukheimer +5 more
openaire +2 more sources
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
doaj +1 more source
Data Dependence, Strict Fixed Point Results, and Well-Posedness of Multivalued Weakly Picard Operators [PDF]
Journal of Mathematics, 2021 In this paper, we introduce the notion of s , r -contractive multivalued weakly Picard ...
Azhar Hussain +3 more
openaire +3 more sources
Implicit functional differential equations with linear modification of the argument, via weakly Picard operator theory [PDF]
Carpathian Journal of Mathematics, 2021 "Let \mathbf{K}:=\mathbf{R}\text{ or }\mathbf{C},\text{ \ }0<\lambda <1 and f \in C([0,b] \times \textbf{K}^3,\textbf{K}). In this paper we use the weakly Picard operator theory technique to study the following functional-differential equation $$ y'(x)=f(x,y(x),y'(x),y(\lambda x)), x \in [0,b].$$ "
ANTON S. MUREŞAN, VIORICA MUREŞAN
openaire +1 more source
On the homogenization of partial integro-differential-algebraic equations [PDF]
, 2016 We present a Hilbert space perspective to homogenization of standard linear evolutionary boundary value problems in mathematical physics and provide a unified treatment for (non-)periodic homogenization problems in thermodynamics, elasticity, electro ...
Waurick, Marcus
core +2 more sources