76 research outputs found
Discussion on <i>α</I>-strictly Contractive Nonself Multivalued Maps
Ali, Muhammad/0000-0002-1444-7888; KARAPINAR, ERDAL/0000-0002-6798-3254; Kamran, Tayyab/0000-0001-7833-2476In this paper, we introduce the notions of alpha-contractive condition and strict alpha-admissibility for nonself multivalued mappings. By using these notions, we prove fixed point theorems for nonself multivalued mappings. We also construct an example to support our result
Existence of best proximity points for controlled proximal contraction
Kiran, Quanita/0000-0002-3442-3488; KARAPINAR, ERDAL/0000-0002-6798-3254; Ali, Muhammad/0000-0002-1444-7888; Kamran, Tayyab/0000-0001-7833-2476In this paper, we investigate the sufficient condition for the existence of best proximity points for non-self-multivalued mappings. Additionally, we discuss the stability theorem for such mappings. Our results improve and generalize some existing results on the topic in the literature, in particular, the results of Lim and of Abkar and Gabeleh
Fixed Point of Α-Ψ Type Mappings in Uniform Spaces
Ali, Muhammad/0000-0002-1444-7888; KARAPINAR, ERDAL/0000-0002-6798-3254; Kamran, Tayyab/0000-0001-7833-2476In this paper, we shall investigate the existence and uniqueness of a fixed point of alpha-psi-contractive mappings in the context of uniform spaces. We shall also prove some common fixed point theorems by introducing the notion of alpha-admissible pairs. We shall construct some examples to support our novel results
(α, ψ, ξ)-contractive multivalued mappings
Ali, Muhammad/0000-0002-1444-7888; KARAPINAR, ERDAL/0000-0002-6798-3254; Kamran, Tayyab/0000-0001-7833-2476In this paper, we introduce the notion of (alpha, psi, xi)-contractive multivalued mappings to generalize and extend the notion of alpha-psi-contractive mappings to closed valued multifunctions. We investigate the existence of fixed points for such mappings. We also construct an example to show that our result is more general than the results of alpha-psi-contractive closed valued multifunctions
Further Discussion on Modified Multivalued Α<sub>*</Sub>-ψ-contractive Type Mapping
Ali, Muhammad/0000-0002-1444-7888; KARAPINAR, ERDAL/0000-0002-6798-3254; Kamran, Tayyab/0000-0001-7833-2476In this paper, we investigate the existence of a fixed point for modified multivalued alpha(*)-psi-contractive type mapping in the context of complete metric space. We also construct some examples to illustrate the main result. Our results extend, improve and generalize the results on the topic in the literature
An Approach To Existence of Fixed Points of Generalized Contractive Multivalued Mappings of Integral Type Via Admissible Mapping
KARAPINAR, ERDAL/0000-0002-6798-3254; Ali, Muhammad/0000-0002-1444-7888; Kamran, Tayyab/0000-0001-7833-2476We investigate the existence of a fixed point of certain contractive multivalued mappings of integral type by using the admissible mapping. Our results generalize the several results on the topic in the literature involving Branciari, and Feng and Liu. We also construct some examples to illustrate our results
Fixed point theorems in uniform space endowed with graph
KARAPINAR, ERDAL/0000-0002-6798-3254; Ali, Muhammad/0000-0002-1444-7888;In this paper, we shall introduce the concepts of F-G-contraction and psi(G)-contraction in uniform space endowed with graph to investigate the existence of a fixed point of mappings satisfying these notions. We shall also introduce a common fixed point theorem for pair of mappings satisfying the notion of psi(G)-contraction in uniform space endowed with graph
Estimating the impact of high-fidelity rainfall data on traffic conditions and traffic prediction
Accurate prediction of network-level traffic parameters during inclement weather conditions can greatly help in many transportation applications. Rainfall tends to have a quantifiable impact on driving behavior and traffic network performance. This impact is often studied for low-resolution rainfall data on small road networks, whereas this study investigates it in the context of a large traffic network and high-resolution rainfall radar images. First, the impact of rainfall intensity on traffic performance throughout the day and for different road categories is analyzed. Next, it is investigated whether including rainfall information can improve the predictive accuracy of the state-of-the-art traffic forecasting methods. Numerical results show that the impact of rainfall on traffic varies for different rainfall intensities as well as for different times of the day and days of the week. The results also show that incorporating rainfall data into prediction models improves their overall performance. The average reduction in mean absolute percentage error (MAPE) for models with rainfall data is 4.5%. Experiments with downsampled rainfall data were also performed, and it was concluded that incorporating higher resolution weather data does indeed lead to an increase in performance of traffic prediction models.Green Open Access added to TU Delft Institutional Repository ‘You share, we take care!’ – Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.Signal Processing System
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