Results 71 to 80 of about 1,449 (232)

Common Fixed Point Theorems for Order Contractive Mappings on a σ‐Complete Vector Lattice

open access: yesJournal of Mathematics, Volume 2025, Issue 1, 2025.
In this paper, we prove some common fixed point theorems for order contractive mappings on a σ‐complete vector lattice. We apply new results to study the well‐posedness of a common fixed point problem for two contractive mappings. Our proofs are simple and purely order‐theoretic in nature.
Min Wang   +4 more
wiley   +1 more source

Pareto optimality for nonlinear infinite dimensional control systems

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1990
In this note we establish the existence of Pareto optimal solutions for nonlinear, infinite dimensional control systems with state dependent control constraints and an integral criterion taking values in a separable, reflexive Banach lattice.
Evgenios P. Avgerinos   +1 more
doaj   +1 more source

Banach Lattices

open access: yes, 2023
The main goal of this thesis is to find conditions, under which, Banach Lattices are isomorphic either to C(K), where K is compact, or to L1(μ), with respect to the measure μ. In Chapter 1, we give some basic notations and definitions for vector lattices.
openaire   +1 more source

Characterization of Best Approximation Points with Lattice Homomorphisms

open access: yesJournal of Mathematical Extension, 2014
In this paper we prove some characterization theorems in the theory of best approximation in Banach lattices. We use a new idea for finding the best approximation points in an ideal.
H. R. Khademzadeh, H. Mazaheri
doaj  

The strong BD property in Banach lattices

open access: diamond, 2023
Halimeh Ardakani   +2 more
openalex   +2 more sources

Finite Dimensional Chebyshev Subspaces of Lo

open access: yesSultan Qaboos University Journal for Science, 2017
If A is a subset of the normed linear space X, then A is said to be proximinal in X if for each xÎX there is a point y0ÎA such that the distance between x and A; d(x, A) = inf{||x-y||: yÎA}= ||x­-y0||.
Aref K. Kamal
doaj   +1 more source

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