Results 41 to 50 of about 80,215 (158)

Fixed Point Results of Miculescu-Mihail, Mitrović-Hussain, and Boyd-Wong Type in Regular Semimetric Spaces

Journal of Mathematics
We establish three types of nonlinear fixed point theorems in regular semimetric spaces. First, we generalize Miculescu and Mihail’s result, thereby unifying the Matkowski fixed point theorem and the Istrăţescu fixed point theorem concerning convex ...
Shu-Min Lu, Peng Wang, Fei He
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A Short And Constructive Proof of Tarski's Fixed-Point Theorem [PDF]

I give short and constructive proofs of Tarski's fixed-point theorem, and of a much-used extension of Tarski's fixed-point theorem to set- valued maps.tarski, fixed-point theorem, supermodular, supermodular games, strategic complementarities, equilibrium
Federico Echenique
core  

Nonlinear Inequality, Fixed Point and NashEquilibrium [PDF]

In this paper, we give new sufficient conditions for the existence of a solution of theg-maximum equality. As a consequence, we prove a new fixed point theorem.
Moussa Larbani, Rabia Nessah, Tarik Tazdaït   +2 more
core  

A fixed point theorem for operators of Meir–Keeler type via the degree of nondensifiability and its application in dynamic programming

, 2020
In this paper, we prove a fixed point theorem for operators of Meir–Keeler type by using the concept of degree of nondensifiability. As an application of our result, we study the existence of solutions for a class of functional equations appearing in ...
Sadarangani, K., Harjani, J., Caballero, J.   +2 more
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Remarks on Separation of Convex Sets, Fixed-Point Theorem, and Applications in Theory of Linear Operators [PDF]

, 2007
Some properties of the linear continuous operator and separation of convex subsets are investigated in this paper and a dual space for a subspace of a reflexive Banach space with a strictly convex norm is constructed.
Soltanov, Kamal N., Kamal N. Soltanov, Kamal N Soltanov, Soltanov Kamal N   +3 more
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A fractional order Monkeypox model with protected travelers using the fixed point theorem and Newton polynomial interpolation. [PDF]

Healthc Anal (N Y), 2023
Adom-Konadu A, Bonyah E, Sackitey AL, Anokye M, Asamoah JKK.   +4 more
europepmc   +1 more source

Borsuk's antipodal and fixed-point theorems for correspondences without convex values [PDF]

We present an extension of Borsuk's antipodal theorem (existence of a zero) for antipodally approachable correspondences without convex values. This result is a generalization of Borsuk-Ulam Theorem and has a fixed-point equivalent formulation.Borsuk's ...
Jean-Marc Bonnisseau, Pascal Gourdel, Hakim Hammami, Souhail Chebbi   +3 more
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BANACH FIXED POINT THEOREM [PDF]

, 2019
Banach fixed point theorem (contraction theorem) is a unique fixed point theorem on a mapping called the contraction of a complete metric space into it self. The space is said to be complete if every Cauchy sequence in converges.
Alsitaningtyas, Yunike Jemis Fifnelavindy
core  

A fixed point theorem for generalized contractions involving w-distances on complete quasi-metric spaces [PDF]

, 2014
We obtain a fixed point theorem for generalized contractions on complete quasi-metric spaces, which involves w-distances and functions of Meir-Keeler and Jachymski type. Our result generalizes in various directions the celebrated fixed point theorems of
Romaguera Bonilla, Salvador, Carmen Alegre, Salvador Romaguera, Alegre Gil, Maria Carmen, Josefa Marín, Marín Molina, Josefa   +5 more
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A fixed point theorem for contraction mappings

International Journal of Mathematics and Mathematical Sciences, 1982
Let S be a closed subset of a Banach space E and f:S→E be a strict contraction mapping. Suppose there exists a mapping h:S→(0,1] such that (1−h(x))x+h(x)f(x)∈S for each x∈S. Then for any x0∈S, the sequence {xn} in S defined by xn+1=(1−h(xn))xn+h(xn)f(xn),
V. M. Sehgal
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