Results 11 to 20 of about 386 (57)
Dold sequences, periodic points, and dynamics
Bulletin of the London Mathematical Society, Volume 53, Issue 5, Page 1263-1298, October 2021., 2021 Abstract In this survey we describe how the so‐called Dold congruence arises in topology, and how it relates to periodic point counting in dynamical systems.
Jakub Byszewski +2 more
wiley +1 more source
Fixed-Circle Problem on S-Metric Spaces with a Geometric Viewpoint [PDF]
, 2018 Recently, a new geometric approach which is called the fixed-circle problem has been gained to fixed-point theory. The problem is introduced and studied using different techniques on metric spaces.
Taş, Nihal, Özgür, Nihal Yilmaz
core +2 more sources
Contractive maps in locally transitive relational metric spaces [PDF]
, 2013 Some fixed point results are given for a class of Meir-Keeler contractive maps acting on metric spaces endowed with locally transitive relations. Technical connections with the related statements due to Berzig et al [Abstr. Appl.
Turinici, Mihai
core +3 more sources
Common fixed points of set‐valued mappings
International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 6, Page 411-415, 2001., 2001 The main purpose of this paper is to obtain a common fixed point for a pair of set‐valued mappings of Greguš type condition. Our theorem extend Diviccaro et al. (1987), Guay et al. (1982), and Negoescu (1989).
M. R. Singh, L. S. Singh, P. P. Murthy
wiley +1 more source
Primary singularities of vector fields on surfaces [PDF]
, 2020 Unless another thing is stated one works in the C∞ category and manifolds have empty boundary. Let X and Y be vector fields on a manifold M. We say that Y tracks X if [Y, X] = fX for some continuous function f: M→ R. A subset K of the zero set Z(X) is an
Hirsch, MW, Turiel, FJ
core +1 more source
Fixed points via a generalized local commutativity
International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 8, Page 497-507, 2001., 2001 Let g : X → X. The concept of a semigroup of maps which is “nearly commutative at g” is introduced. We thereby obtain new fixed point theorems for functions with bounded orbit(s) which generalize a recent theorem by Huang and Hong, and results by Jachymski, Jungck, Ohta, and Nikaido, Rhoades and Watson, and others.
Gerald F. Jungck
wiley +1 more source
Related fixed points for set valued mappings on two metric spaces
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 3, Page 205-210, 2000., 2000 Some related fixed points theorems for set valued mappings on two complete and compact metric spaces are proved.
Brian Fisher, Duran Türkoglu
wiley +1 more source
Some results on maximal elements
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 6, Page 409-413, 2000., 2000 We prove some results on maximal elements using the KKM‐map principle.
Antonio Carbone
wiley +1 more source
A theorem of Meir‐Keeler type revisited
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 7, Page 507-511, 2000., 2000 In 1993, the authors presented a fixed point theorem of Meir‐Keeler type. The proposed proof of a lemma—on which the said theorem depends on—is invalid. In this note, we alter the statement of this lemma and give a valid proof thereof, so that the main result of the previous paper is still true.
Y. J. Cho, P. P. Murthy, G. Jungck
wiley +1 more source
Fixed points, intersection theorems, variational inequalities, and equilibrium theorems
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 2, Page 73-93, 2000., 2000 From a fixed point theorem for compact acyclic maps defined on admissible convex sets in the sense of Klee, we first deduce collectively fixed point theorems, intersection theorems for sets with convex sections, and quasi‐equilibrium theorems. These quasi‐equilibrium theorems are applied to give simple and unified proofs of the known variational ...
Sehie Park
wiley +1 more source