Results 21 to 30 of about 326 (253)
General monotonicity and interpolation of operators
Journal of Mathematical Analysis and Applications, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Stepan M. Grigoriev +2 more
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Generalized variational inequalities for maximal monotone operators [PDF]
Indian Journal of Pure and Applied Mathematics, 2021 In this paper we present some new results on the existence of solutions of generalized variational inequalities in real reflexive Banach spaces with Fréchet differentiable norms. Moreover, we also give some theorems about the structure of solution sets. The results obtained in this paper improve and extend the ones announced by Fang and Peterson [1] to
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A class of generalized monotone operators
Journal of Mathematical Analysis and Applications, 2015 Let \(\mathcal H\) be a Hilbert space \({\mathcal D} \subseteq {\mathcal H}\), \(\eta \in (-1,1)\) and \(T: {\mathcal D} \rightarrow {\mathcal H}\) be given. The authors call \(T\) to be \(\eta\)-monotone if \(\langle Tx-Ty, x-y \rangle \geq \eta \parallel Tx-Ty \parallel \parallel x-y \parallel\) for all \(x,y \in {\mathcal D}\).
Marian, Daniela +2 more
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Operator Monotone Functions and Convexity of Its Derivatives Norms
پژوهشهای ریاضی, 2021 Introduction Given the important role convex and quasi-convex functions play in many areas of mathematics and especially in optimization, one of the inequalities that has attracted the attention of many mathematicians in recent decades is Hermit ...
Zahra Rahimi Chegeni +2 more
doaj
Monotonicity of the Polaron Energy II: General Theory of Operator Monotonicity [PDF]
Journal of Statistical Physics, 2013 We construct a general theory of operator monotonicity and apply it to the Fröhlich polaron hamiltonian. This general theory provides a consistent viewpoint of the Fröhlich model.
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Infimal generators and monotone sublinear operators
Constructive Mathematical Analysis, 2021 We provide a version of Korovkin-type theorems for monotone sublinear operators in vector lattices and discuss the possibilities of further extensions and generalizations.
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Fixed point index computations for multivalued mapping and application to the problem of positive eigenvalues in ordered space [PDF]
, 2022 [EN] In this paper, we present some results on fixed point index calculations for multivalued mappings and apply them to prove the existence of solutions to multivalued equations in ordered space, under flexible conditions for the positive eigenvalue ...
Tri, Vo Viet
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Fixed point theorems for a new class of nonexpansive mappings [PDF]
, 2022 [EN] We consider a new class of nonlinear mappings that generalizes two well-known classes of nonexpansive type mappings and extends some other classes of mappings. We present some existence and convergence results for this class of mappings.
Shukla, Rahul, Pant, Rajendra
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Common new fixed point results on b-cone Banach spaces over Banach algebras [PDF]
, 2022 [EN] Recently Zhu and Zhai studied the concepts of cone b-norm and cone b-Banach space as generalizations of cone b-metric spaces and theygave a definition of φ-operator and obtained some new fixed point theorems in cone b-Banach spaces over Banach ...
Fulga, Andreea +2 more
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On F-Monotone Operators and Generalized Strongly Nonlinear Variational Inequalities [PDF]
Mathematical and Computational Applications, 1997 In this paper we develop the existence theory of generalized strongly nonlinear variational inequality problem involving F-monotone operator in the setting of reflexive Banach spaces and Hausdorff topological vector spaces separately. Our results include Dugundji’s and Granas’s variational inequality in reflexive Banach spaces and Tan’s variational ...
Ashok Ganguly, Kamal Wadhwa
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