Results 21 to 30 of about 314,320 (176)
Common fixed point theorems and applications
International Journal of Mathematics and Mathematical Sciences, 1997 The purpose of this paper is to discuss the existence of common fixed points for mappings in general quasi-metric spaces. As applications, some common fixed point theorems for mappings in probabilistic quasi-metric spaces are given. The results presented
Hemant Kumar Pathak +3 more
doaj +1 more source
Fixed-point-like theorems on subspaces
Fixed Point Theory and Applications, 2004 We prove a fixed-point-like theorem for multivalued mappings defined on the finite Cartesian product of Grassmannian manifolds and convex sets. Our result generalizes two different kinds of theorems: the fixed-point-like theorem by Hirsch et al.
Cornet Bernard, Bich Philippe
doaj +2 more sources
Some Common Fixed Point Theorems in Partially Ordered Sets
Journal of Applied Mathematics, 2020 The purpose of this paper is to prove some new fixed point theorem and common fixed point theorems of a commuting family of order-preserving mappings defined on an ordered set, which unify and generalize some relevant fixed point theorems.
Khadija Bouzkoura, Said Benkaddour
doaj +1 more source
Homological selections and fixed-point theorems
, 2016 A homological selection theorem for C-spaces, as well as, a finite-dimensional homological selection theorem is established. We apply the finite-dimensional homological selection theorem to obtain fixed-point theorems for usco homologically UV^n set ...
Valov, Vesko
core +1 more source
Fixed point theorems for $alpha$-contractive mappings [PDF]
Sahand Communications in Mathematical Analysis, 2015 In this paper we prove existence the common fixed point with different conditions for $alpha-psi$-contractive mappings. And generalize weakly Zamfirescu map in to modified weakly Zamfirescu map.
Hojjat Afshari, Mojtaba Sajjadmanesh
doaj
Understanding Fixed Point Theorems [PDF]
, 2003 Fixed point theorems are the standard tool used to prove the existence of equilibria in mathematical economics. This paper shows how to prove a slight generalization of Brouwer's and Kakutani's fixed point theorems using the familiar techniques of ...
Arnold, Lutz G.
core
Fixed Point Theorems via Auxiliary Functions
Journal of Applied Mathematics, 2012 We prove new fixed point theorems in the framework of partially ordered metric spaces. The main result is an extension and a generalization of many existing results in the literature. An example is also considered to illustrate the main result.
Erdal Karapınar, Peyman Salimi
doaj +1 more source
Equivalents of maximum principles for several spaces
Topological Algebra and its Applications, 2022 According to our long-standing Metatheorem, certain maximum theorems can be equivalently reformulated to various types of fixed point theorems, and conversely.
Park Sehie
doaj +1 more source
Fixed point theorems for asymptotically contractive mappings [PDF]
, 2003 In this short paper, we prove fixed point theorems for nonexpansive mappings whose domains are unbounded subsets of Banach spaces. These theorems are generalizations of Penot's result in [Proc. Amer. Math.
Suzuki, Tomonari
core +4 more sources
A Geometric Approach to Combinatorial Fixed-Point Theorems [PDF]
, 2013 We develop a geometric framework that unifies several different combinatorial fixed-point theorems related to Tucker's lemma and Sperner's lemma, showing them to be different geometric manifestations of the same topological phenomena.
Grant, Elyot, Ma, Will
core