In this paper, we introduce the notion of multivalued interpolative Kannan-type contractions. We also a more general version by relaxing degrees freedom powers arising in contractive condition. Gaba et al. (2021) recently pointed out significant error paper and Karapinar (2019), showing that particular type generalized contraction does not posses fixed point complete metric space. Thus, study m...

Farach, Kannan and Warnow (1995) defined Problem MCA (matrix completion to additive) and proved it to be NP-complete: given a partial dissimilarity d on a finite set X, does there exist a tree metric extending d to all pairs of elements of X. We use a previously described simple method of phylogenetic reconstruction, and its extension to partial dissimilarities, to characterize some classes of ...

We present a mechanism for computing asymptotically stable school optimal matchings, while guaranteeing that it is an asymptotic dominant strategy for every student to report their true preferences to the mechanism. Our main tool in this endeavor is differential privacy: we give an algorithm that coordinates a stable matching using differentially private signals, which lead to our truthfulness ...

DELIVERY OF LAYERED VIDEO DATA. S. Sandeep Pradhan and Kannan Ramchandran Beckman Institute and Department of ECE University of Illinois, Urbana, IL 61801 E-mail:[email protected] and [email protected] ABSTRACT We tackle the problem of e cient image transmission over Multi-Carrier Modulation (MCM) systems, proposing the use of a layered or multiresolution (MR) framework. In this work, we t...

Given a set of data, one central goal is to group them into clusters based on some notion of similarity between the individual objects. One of the most popular and widely-used approaches is K-means despite the computational hardness to find its global minimum. We study and compare the properties of different convex relaxations by relating them to corresponding proximity conditions, an idea orig...

We present a mechanism for computing asymptotically stable school optimal matchings, while guaranteeing that it is an asymptotic dominant strategy for every student to report their true preferences to the mechanism. Our main tool in this endeavor is differential privacy: we give an algorithm that coordinates a stable matching using differentially private signals, which lead to our truthfulness ...

In this paper, as a geometric approach to the fixed-point theory, we prove new fixed-figure results using notion of k-ellipse on metric space. For purpose, are inspired by Caristi type mapping, Kannan contraction, Chatterjea contraction and Ćirić contraction. After that, give some existence uniqueness theorems fixed k-ellipse. We also support our obtained with illustrative examples. Finally, pr...

In this paper, the notion of θ*-weak contraction is introduced, which utilized to prove some fixed point results. These results are helpful give a positive response certain open question raised by Kannan and Rhoades on existence contractive definition does not force mapping be continuous at point. Some illustrative examples also given support our As applications result, we investigate uniquenes...