Results 21 to 30 of about 498 (73)
PPF dependent common fixed point theorems for mappings in Banach spaces
We prove the existence of the PPF dependent common fixed point theorems and the PPF dependent coincidence points for a pair of mappings satisfying some contractive conditions in Banach spaces where the domains and ranges of the mappings are not the same.
A. Kaewcharoen
semanticscholar +1 more source
Fixed points, intersection theorems, variational inequalities, and equilibrium theorems
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
On fixed point theorems for mappings with PPF dependence
In this paper, we consider two families Ψ1 and Ψ2 of mappings defined on [0,+∞) satisfy some certain properties. Using the mentioned properties for Ψ1 and Ψ2, we prove the analogous PPF dependent fixed point theorems for mappings as in Drici et al ...
A. Farajzadeh, A. Kaewcharoen
semanticscholar +2 more sources
Bourgin-Yang versions of the Borsuk-Ulam theorem for $p$-toral groups [PDF]
Let $V$ and $W$ be orthogonal representations of $G$ with $V^G= W^G=\{0\}$. Let $S(V )$ be the sphere of $V$ and $f : S(V ) \to W$ be a $G$-equivariant mapping. We give an estimate for the dimension of the set $Z_f=f^{-1}\{0\}$ in terms of $ \dim V$ and $
de Mattos, Denise+2 more
core +1 more source
Extensions of best approximation and coincidence theorems
Let X be a Hausdorff compact space, E a topological vector space on which E* separates points, F : X → 2E an upper semicontinuous multifunction with compact acyclic values, and g : X → E a continuous function such that g(X) is convex and g−1(y) is acyclic for each y ∈ g(X).
Sehie Park
wiley +1 more source
Fixed point results for the α-Meir-Keeler contraction on partial Hausdorff metric spaces
The purpose of this paper is to study fixed point theorems for a multi-valued mapping satisfying the α-Meir-Keeler contraction with respect to the partial Hausdorff metric ℋ in complete partial metric spaces.
Chi-Ming Chen, E. Karapınar
semanticscholar +1 more source
Some fixed point theorems in locally p-convex spaces
In this paper we investigate the existence of a fixed point of multivalued mapson almost p-convex and p-convex subsets of topological vectorspaces. Our results extend and generalize some fixed point theorems on the topicin the literature, such as the ...
L. Gholizadeh, E. Karapınar, M. Roohi
semanticscholar +1 more source
Nielsen equalizer theory [PDF]
We extend the Nielsen theory of coincidence sets to equalizer sets, the points where a given set of (more than 2) mappings agree. On manifolds, this theory is interesting only for maps between spaces of different dimension, and our results hold for sets ...
Brooks+7 more
core +3 more sources
Bounds for fixed points and fixed subgroups on surfaces and graphs
We consider selfmaps of hyperbolic surfaces and graphs, and give some bounds involving the rank and the index of fixed point classes. One consequence is a rank bound for fixed subgroups of surface group endomorphisms, similar to the Bestvina‐Handel bound
Boju Jiang, Shida Wang, Qiang Zhang
semanticscholar +1 more source
A fixed point theorem for smooth extension maps
Let X be a compact smooth n-manifold, with or without boundary, and let A be an (n−1)-dimensional smooth submanifold of the interior of X. Let ϕ:A→A be a smooth map and f:(X,A)→(X,A) be a smooth map whose restriction to A is ϕ.
Nirattaya Khamsemanan+3 more
semanticscholar +2 more sources