Results 31 to 40 of about 6,773 (45)
Asymptotic fixed points for nonlinear contractions
Fixed Point Theory and Applications, 2005 Recently, W. A. Kirk proved an asymptotic fixed point theorem for nonlinear contractions by using ultrafilter methods. In this paper, we prove his theorem under weaker assumptions. Furthermore, our proof does not use ultrafilter methods.
Chen Yong-Zhuo
doaj +2 more sources
Fixed Points in Functional Inequalities
Journal of Inequalities and Applications, 2008 Using fixed point methods, we prove the generalized Hyers-Ulam stability of the following functional inequalities and in the spirit of Th. M. Rassias stability approach.
Park Choonkil
doaj
Diametrically contractive maps and fixed points
Fixed Point Theory and Applications, 2006 Contractive maps have nice properties concerning fixed points; a big amount of literature has been devoted to fixed points of nonexpansive maps. The class of shrinking (or strictly contractive) maps is slightly less popular: few specific results on them
Casini Emanuele +2 more
doaj +2 more sources
Fixed points of multivalued nonexpansive maps
International Journal of Mathematics and Mathematical Sciences, 1991 Fixed point theorems for multivalued contractive-type and nonexpansive-type maps on complete metric spaces and on certain closed bounded convex subsets of Banach spaces have been proved. They extend some known results due to Browder, Husain and Tarafdar,
T. Husain, Abdul Latif
doaj +1 more source
Countably condensing multimaps and fixed points
Electronic Journal of Qualitative Theory of Differential Equations, 2012 In this paper we present a generalization of the Daher's fixed point theorem to countably condensing multimaps. We obtain this result as a consequence of a new M\"onch type theorem for multimaps having weakly closed graph.
Tiziana Cardinali, Paola Rubbioni
doaj +1 more source
Fixed points of log-linear discrete dynamics
Discrete Dynamics in Nature and Society, 1997 In this paper we study the fixed points of the Log-linear discrete dynamics. We show that almost all Log-linear dynamics have at most two fixed points which is a generalization of Soni's result.
Ken Sawada, Yoshio Togawa
doaj +1 more source
Generating Geometric Patterns Using Complex Polynomials and Iterative Schemes
AxiomsIterative procedures have been proved as a milestone in the generation of fractals. This paper presents a novel approach for generating and visualizing fractals, specifically Mandelbrot and Julia sets, by utilizing complex polynomials of the form QC(p ...
Asifa Tassaddiq +4 more
doaj +1 more source
Fixed points for non-surjective expansion mappings
International Journal of Mathematics and Mathematical Sciences, 1998 The contractive conditions of Popa (Demonstr. Math. 1990, 23, 213-218) were further improved for four non-surjective expansion mappings, and some common fixed point theorems under semi-compatible pairs of mappings are proved.
B. K. Sharma +3 more
doaj +1 more source
Compatible mappings and common fixed points
International Journal of Mathematics and Mathematical Sciences, 1986 A generalization of the commuting mapping concept is introduced. Properties of this “weakened commutativity” are derived and used to obtain results which generalize a theorem by Park and Bae, a theorem by Hadzic, and others.
Gerald Jungck
doaj +1 more source
Asymptotic stability results for certain integral equations
Electronic Journal of Differential Equations, 2005 This paper shows the existence of asymptotically stable solutions to an integral equation. This is done by using a fixed point theorem, and without requiring that the solutions be bounded.
Cezar Avramescu, Cristian Vladimirescu
doaj