Kakutani fixed-point theorem
Remarks on Extensions of the Himmelberg Fixed Point Theorem
... Recently, Jafari and Sehgal obtained an extension of the Himmelberg fixed point theorem based on the Kakutani fixed-point theorem. We give generalizations of the extension ...
5
A Full Characterization on Fixed Point Theorem, Minimax Inequality, Saddle Point, and KKM Theorem
... Brouwer’s fixed point theorem, Kakutani fixed point ...points, fixed points, coincidence points, complementarity problems, ...
18
A proof of the Mazur-Orlicz theorem via the Markov-Kakutani common fixed point theorem, and vice versa
... fixed point theorem; see [] and []) Let X be a (locally convex) linear topological space, C a nonempty convex compact subset of X , F a commuting family of continuous affine selfmappings of ...
9
Equivalence results between Nash equilibrium theorem and some fixed point theorems
... fixed point theorems play an important role in game theory and math- ematical economics ...maximum theorem and Kakutani fixed point theorem to prove the exis- tence of Nash equilibrium ...
10
Application of the Brouwer and the Kakutani fixed-point theorems to a discrete equation with a double singular structure
... Proof of Theorem 1 Making use of Lemma 4(i), (ii), (iv), (vi), (vii) and (18), we apply the Kakutani fixed-point theorem to F = F(v). Hence, we see that there exists x = x(i) ∈ S such that x ∈ ...
14
Fixed points and selections of set valued maps on spaces with convexity
... fixed point theorems. One can obtain Kakutani and Browder type the- orems for spaces with generalized convexity by repeating arguments that work for topological vector spaces (see [15, 16, 23, 25, ...
18
Generalized Contraction Mapping and Fixed Point Theorems in Complete Metric Space
... field Fixed Point Theory. Then Brouwer [4] in 1912, proved fixed point theorem for the solution of the equation ( ) = ...proved fixed point theorem for a square, a ...
6
Existence Results for System of Variational Inequality Problems with Semimonotone Operators
... There are many kinds of mappings in the literature of recent years; see, for example, 12, 13, 15–18. In 1999, Chen 19 introduced the concept of semimonotonicity for a single valued mapping, which occurred in the study of ...
14
A note on Kakutani type fixed point theorems
... Theorem 2.2. Let M be a nonempty convex τ-bounded, τ-complete finite dimen- sional subset of a Hausdorff locally convex space (E,τ). Suppose Ᏺ is a commutative semigroup of asymptotically nonexpansive self maps of ...
5
A Brouwer fixed-point theorem for graph endomorphisms
... fixed-point theorem assures that any continuous transformation on the closed ball in Euclidean space has a fixed ...the Kakutani generalization [] has been used to prove Nash equilibria ...the ...
24
Duan's fixed point theorem: Proof and generalization
... We state a special case of a theorem of Halperin which will be needed to prove Theorem 3.1. This requires the use of rational homotopy theory, in particular, Sullivan minimal models (see [9] and [10]). For ...
10
New generalizations of Darbo’s fixed point theorem
... fixed point theorem? We establish some new generalizations of Darbo’s fixed point theorem by using ‘integral ...fixed point theorems extend the existing results on the problem ...
8
Pseudo-metric space and fixed point theorem
... The above considerations show that Theorem . and Theorem . are equivalent. Since the Caristi theorem (Corollary .) is a particular case of our main result and the Ekeland variational principle ...
18
Fixed Point Theorem of Ciric-Pata Type
... Abstract. In this article, we proved a fixed point theorem of Ćirić-Pata type in metric space. This result extends several results in the existing literature. Moreover, an example is given in the ...
7
Application of Fixed Point Theorem and Error Bounds
... mean-value theorem and the given condi- tion , g x ( ) is a contraction mapping of the complete metric space k into itself ...unique fixed point u of g in k , ...
6
On new generalizations of Smarzewski’s fixed point theorem
... In , Browder [], Kirk [] and Göhde [] proved respectively that every nonex- pansive mapping T from a nonempty weakly compact convex subset K of a uniformly convex Banach space X into itself has a fixed ...
10
Some Generalizations of Jungck's Fixed Point Theorem
... In this section we are going to generalize the Jungck’s fixed point Theorem 1.2 by using the altering distance function and the JC class. More precisely, we will introduce the class of ψ -J- ...
20
Brouwer fixed point theorem in (L0)d
... tain a fixed point for local, sequentially continuous functions on conditional simplexes. From the measurable structure of the problem, it turns out that we have to work with local, measurable labeling functions. ...
14
A Common Fixed Point Theorem in -Metric Spaces
... Srinivasa Rao, “On convergent sequences and fixed point theorems in D -metric spaces,” International Journal of Mathematics and Mathematical Sciences , vol. 1969–1988, 2005[r] ...
13
Existence results of solutions for some fractional neutral functional integro-differential equations with infinite delay
... Banach fixed point theorem and the Krasnoselskii’s fixed point ...last point, an application is given in Section 4 to illustrate our theoretical ...
11