Results 31 to 40 of about 314,466 (322)
Fixed Point Theorems via Auxiliary Functions
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
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Understanding Fixed Point Theorems [PDF]
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
On Tarski’s fixed point theorem [PDF]
Proc. Amer. Math.
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Fixed point theorems for $alpha$-contractive mappings [PDF]
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
Common fixed point theorems and applications
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
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A Geometric Approach to Combinatorial Fixed-Point Theorems [PDF]
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
A Q‐Learning Algorithm to Solve the Two‐Player Zero‐Sum Game Problem for Nonlinear Systems
A Q‐learning algorithm to solve the two‐player zero‐sum game problem for nonlinear systems. ABSTRACT This paper deals with the two‐player zero‐sum game problem, which is a bounded L2$$ {L}_2 $$‐gain robust control problem. Finding an analytical solution to the complex Hamilton‐Jacobi‐Issacs (HJI) equation is a challenging task.
Afreen Islam+2 more
wiley +1 more source
Some Common Fixed Point Theorems in Generalized Metric Spaces
First we prove common fixed point theorems for weakly compatible maps which generalize the results of Chen (2012). Secondly, we prove common fixed point theorems using property E.A. along with weakly compatible maps.
Manoj Kumar, Pankaj Kumar, Sanjay Kumar
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Fixed point theorems for asymptotically contractive mappings [PDF]
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 note on fixed-point theorems
AbstractIn an earlier note, S. P. Singh gave an extension of a theorem of Brosowski in a normed linear space setting. Variants of this theorem are considered in the context of strictly convex, reflexive, and inner product spaces.
M.D Humphries, T.L Hicks
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