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Analyzing Single and Multi-valued Nonlinear Caputo Two-Term Fractional Differential Equation With Integral Boundary Conditions
This article primarily focuses on the single-valued and multi-valued cases of the class of nonlinear Caputo two-term fractional differential equation...
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Existence results for nonexpansive multi-valued operators and nonlinear integral inclusions
In this paper, we establish some new variants of fixed point theorems for a large class of countably nonexpansive multi-valued map**s. Some fixed...
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Multi-valued dynamical systems on time-dependent metric spaces with applications to Navier–Stokes equations
In this paper, we develop an extension of the theoretical framework of multi-valued dynamical systems for families of time-dependent phase spaces,...
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Strong convergence theorems for fixed point of multi-valued map**s in Hadamard spaces
With the help of CN-inequality, we study fixed point of multi-valued map**s with closed bounded images and establish some strong convergence...
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Fixed points of single-valued and multi-valued map**s in sb-metric spaces
In this paper, we have established some fixed point theorems in the context of strong b-metric spaces. For this purpose, Ciric type contraction for...
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Error estimates of the backward Euler–Maruyama method for multi-valued stochastic differential equations
In this paper we derive error estimates of the backward Euler–Maruyama method applied to multi-valued stochastic differential equations. An important...
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A Banach—Stone Type Theorem for Space of Vector-Valued Differentiable Maps
This article describes the surjective linear isometries between spaces of p -times differentiable maps from a domain of the Euclidean space into a...
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Geometric characterization of the persistence of 1D maps
We characterize critical points of 1-dimensional maps paired in persistent homology geometrically and this way get elementary proofs of theorems...
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Multi-utility representations of incomplete preferences induced by set-valued risk measures
We establish a variety of numerical representations of preference relations induced by set-valued risk measures. Because of the general...
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Strict BV relaxed area of Sobolev maps into the circle: the high dimension case
We deal with the relaxed area functional in the strict BV -convergence of non-smooth maps defined in domains of generic dimension and taking values...
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Random Lift of Set Valued Maps and Applications to Multiagent Dynamics
We introduce an abstract framework for the study of general mean field games and mean field control problems. Given a multiagent system, its...
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On the Representation and Learning of Monotone Triangular Transport Maps
Transportation of measure provides a versatile approach for modeling complex probability distributions, with applications in density estimation,...
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New Existence Results for Evolutionary Quasi-Hemi-Variational Inequalities with Semi-monotone Maps and Applications to Optimal Control Problems
The paper presents new results for the existence of solutions for an evolutionary quasi-hemi-variational inequality, which involves a semi-monotone...
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Reconstruction of old maps based on old photos using fuzzy graphs
About 70 years ago, the reconstruction conjecture was proposed as an interesting problem in graph theory. In this paper, we extend the concept of...
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Nearly Periodic Maps and Geometric Integration of Noncanonical Hamiltonian Systems
M. Kruskal showed that each continuous-time nearly periodic dynamical system admits a formal U (1)-symmetry, generated by the so-called roto-rate....
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Continuous Maps
The concept of limit points is introduced. Continuity, which lies at the heart of topology, is studied. It is observed that sequential convergence is...
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Logarithmic Expansion, Entropy, and Dimension for Set-Valued Maps
We obtain a lower bound for the entropy of a Borel probability measure (not necessarily invariant) with respect to an upper semicontinuous set-valued...