Results 41 to 50 of about 5,105,361 (177)
Caristi Type Coincidence Point Theorem in Topological Spaces
Journal of Applied Mathematics, 2013 A generalized Caristi type coincidence point theorem and its equivalences in the setting of topological spaces by using a kind of nonmetric type function are obtained.
Jiang Zhu, Lei Wei, Cheng-Cheng Zhu
doaj +1 more source
A strong geometric hyperbolicity property for directed graphs and monoids [PDF]
, 2014 We introduce and study a strong "thin triangle"' condition for directed graphs, which generalises the usual notion of hyperbolicity for a metric space.
Gray, Robert, Kambites, Mark
core +2 more sources
Advances in Mathematical Physics, Volume 2020, Issue 1, 2020., 2020 In this paper, we present a common fixed point result for a pair of mappings defined on a b‐metric space, which satisfies quasi‐contractive inequality with nonlinear comparison functions. An application in solving a class of integral equations will support our results.
Zoran D. Mitrović +5 more
wiley +1 more source
Common Fixed Point Results for a Pair of Multivalued Mappings in Complex‐Valued b‐Metric Spaces
Abstract and Applied Analysis, Volume 2020, Issue 1, 2020., 2020 Several fixed point results for the existence of common fixed points of multivalued contractive mappings have been established in complex‐valued metric space. In this paper, we study the existence of common fixed points for a pair of multivalued contractive mappings satisfying some rational inequalities in the framework of complex‐valued b‐metric ...
Olawale Kazeem Oyewole +3 more
wiley +1 more source
The asymptotic shape theorem for generalized first passage percolation
, 2010 We generalize the asymptotic shape theorem in first passage percolation on $\mathbb{Z}^d$ to cover the case of general semimetrics. We prove a structure theorem for equivariant semimetrics on topological groups and an extended version of the maximal ...
Björklund, Michael
core +1 more source
Groups acting on semimetric spaces and quasi-isometries of monoids [PDF]
Transactions of the American Mathematical Society, 2012 We study groups acting by length-preserving transformations on spaces equipped with asymmetric, partially-defined distance functions. We introduce a natural notion of quasi-isometry for such spaces and exhibit an extension of the Švarc-Milnor lemma to this setting.
Gray, Robert, Kambites, Mark
openaire +3 more sources
A Svarc-Milnor lemma for monoids acting by isometric embeddings
, 2010 We continue our programme of extending key techniques from geometric group theory to semigroup theory, by studying monoids acting by isometric embeddings on spaces equipped with asymmetric, partially-defined distance functions.
de la Harpe P. +4 more
core +1 more source
Information Systems, 2017 Metric search is concerned with the efficient evaluation of queries in metric spaces. In general,a large space of objects is arranged in such a way that, when a further object is presented as a query, those objects most similar to the query can be ...
R. Connor +3 more
semanticscholar +1 more source
The Riemannian L^2 topology on the manifold of Riemannian metrics
, 2010 We study the manifold of all Riemannian metrics over a closed, finite-dimensional manifold. In particular, we investigate the topology on the manifold of metrics induced by the distance function of the L^2 Riemannian metric - so called because it induces
Clarke, Brian
core +1 more source
Applications of ball spaces theory: fixed point theorems in semimetric spaces and ball convergence
Journal of Fixed Point Theory and Applications, 2022 AbstractIn the paper, we apply some of the results from the theory of ball spaces in semimetric setting. This allows us to obtain fixed point theorems which we believe to be unknown to this day. As a byproduct, we obtain the equivalence of some different notions of completeness in semimetric spaces where the distance function is 1-continuous.
Piotr Nowakowski, Filip Turoboś
openaire +3 more sources