Search Results - set functions with values in a partially ordered space

Integrals for functions with values in a partially ordered vector space by Arnoud van Rooij, Willem van Zuijlen

“…We consider integration of functions with values in a partially ordered vector space, and two notions of extension of the space of integrable functions…”
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Integrals for functions with values in a partially ordered vector space by van Rooij, A. C. M., van Zuijlen, W. B.

“…We consider integration of functions with values in a partially ordered vector space, and two notions of extension of the space of integrable functions…”
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Extension constructions of quasi-overlap functions and their derivative concepts on function spaces by Qiao, Junsheng

“… In this paper, we pay attention to the extension constructions of quasi-overlap functions and their derivative concepts on function spaces with bounded partially ordered sets as underlying sets…”
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Optimal Recovery of Monotone Operators in Partially Ordered L-Spaces by Babenko, Vladyslav, Babenko, Vira, Kovalenko, Oleg

“… The results of this work allow us to include the operators that act on the spaces of multi- and fuzzy- valued functions, as well as on the spaces of functions with values in partially ordered normed spaces…”
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A new contraction mapping principle in partially ordered metric spaces and applications to ordinary differential equations by Yan, Fangfang, Su, Yongfu, Feng, Qiansheng

“…The aim of this paper is to extend the results of Harjani and Sadarangani and some other authors and to prove a new fixed point theorem of a contraction mapping in a complete metric space endowed…”
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Set-Valued Evenly Convex Functions: Characterizations and C-Conjugacy by Fajardo, M. D.

“…In this work we deal with set-valued functions with values in the power set of a separated locally convex space where a nontrivial pointed convex cone induces a partial order relation…”
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Three-way decisions based on bipolar-valued fuzzy sets over three-way decision spaces by Hu, Bao Qing

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A generalized weak contraction principle with applications to coupled coincidence point problems by Choudhury, Binayak S, Metiya, Nikhilesh, Postolache, Mihai

“…In this paper we establish some coincidence point results for generalized weak contractions with discontinuous control functions…”
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New Fixed Point Theorems and Application of Mixed Monotone Mappings in Partially Ordered Metric Spaces by Liu, Li, Shi, Yingying, Mao, Anmin

“…We consider the existence of a coupled fixed point for mixed monotone mapping F:X×X→X satisfying a new contractive inequality which involves an altering distance function in partially ordered metric spaces…”
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The uniqueness of the best non-symmetric $L_1$-approximant with a weight for continuous functions with values in KB-space by Tkachenko, M.Ye, Traktynska, V.M.

“…$ with values in strictly convex partially ordered KB-space $X$ by subspaces of space $C(Q, X)$ of continuous functions…”
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Pareto efficiency for vector-valued functions which are lower semi-continuous in the sense of Penot and Théra by Ernst, Emil

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Generalized Weak Contractions Involving a Pair of Auxiliary Functions via Locally Transitive Binary Relations and Applications to Boundary Value Problems by Eljaneid, Nidal H. E., Alshaban, Esmail, Alatawi, Adel, Ali, Montaser Saudi, Alsharari, Saud S., Khan, Faizan Ahmad

“…The intent of this paper was to investigate the fixed-point results under relation-theoretic generalized weak contractivity condition employing a pair of auxiliary functions ϕ and ψ…”
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Contraction mapping principle with generalized altering distance function in ordered metric spaces and applications to ordinary differential equations by Su, Yongfu

“… (Fixed Point Theory Appl. 2012:152, 2012) and some others, and to prove a new fixed point theorem of generalized contraction mappings in a complete metric space endowed with a partial order by using generalized altering distance functions…”
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A new concept of semistrict quasiconvexity for vector functions by Günther, Christian, Orzan, Alexandru, Popovici, Nicolae

“…We establish a new concept of semistrict quasiconvexity for vector functions defined on a nonempty convex set in a real linear space X that take values in some real topological linear space Y…”
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Relation‐Theoretic Contraction via a Triplet of Auxiliary Functions and an Application to Ordinary Differential Equations by Ali, Shahbaz, Khan, Qamrul Haque, Albaity, Majed, Ozel, Cenap

“…In this manuscript, we establish some results on fixed points by using a triplet of auxiliary functions endowed with a locally…”
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On Solution of Boundary Value Problems via Weak Contractions by Prasad, Gopi, Işik, Hüseyin

“… As an application, we solve a periodic boundary value problem and validate all assertions with the help of nontrivial examples…”
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Applications of generalized fixed points theorems to the existence of uncertainly hyperbolic partial differential equations with finite delay by Angulo-Castillo, Vladimir, Chalco-Cano, Y., Villamizar-Roa, Élder J.

“… We establish a more general definition of integral solutions for the boundary value problem and, using some results of fixed point of weakly contractive mappings on partially ordered metric spaces…”
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Existence of Solutions for a Periodic Boundary Value Problem via Generalized Weakly Contractions by Moradi, Sirous, Karapinar, Erdal, Aydi, Hassen

“… polynomials. For this purpose, we present some fixed point theorems for weakly and generalized weakly contractive mappings in the setting of partially ordered complete metric spaces…”
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A Relation-Theoretic Matkowski-Type Theorem in Symmetric Spaces by Ali, Based, Imdad, Mohammad, Sessa, Salvatore

“…In this paper, we present a fixed-point theorem in R-complete regular symmetric spaces endowed with a locally T-transitive binary relation R using comparison functions that generalizes several relevant existing results…”
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Common fixed points of α∗-ψ-contractive without order closed multi-valued mappings by Pahlavany, S., Asl, J. Hassanzadeh, Rezapour, Sh

“… In this paper, we introduce the notion of α ∗ - ψ -contractive and weakly increasing without order closed multi-valued mappings on ordered metric spaces with application…”
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