Results 21 to 30 of about 669 (69)
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 20, Page 1035-1045, 2004., 2004 We use Nadler′s theorem and the resolvent operator technique for m‐accretive mappings to suggest an iterative algorithm for solving generalized nonlinear variational inclusions with relaxed strongly accretive mappings in Banach spaces. We prove the existence of solutions for our inclusions without compactness assumption and the convergence of the ...
A. H. Siddiqi, Rais Ahmad
wiley +1 more source
Pricing under dynamic risk measures
Open Mathematics, 2019 In this paper, we study the discrete-time super-replication problem of contingent claims with respect to an acceptable terminal discounted cash flow.
Zhao Jun +2 more
doaj +1 more source
Monotonicity and differential properties of the value functions in optimal control
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 65, Page 3513-3540, 2004., 2004 Using the “basic monotonicity property” along locally admissible trajectories, we extend to very general problems certain existing results concerning the differential inequalities verified by the value function of an optimal control problem; these differential inequalities are expressed in terms of its contingent, quasitangent, and peritangent (Clarke ...
Ştefan Mirică
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Algorithmic and analytical approach to the split common fixed points problem
Fixed Point Theory and Applications, 2014 The split problem, especially the split common fixed point problem, has been studied by many authors. In this paper, we study the split common fixed point problem for the pseudo-contractive mappings and the quasi-nonexpansive mappings.
Lijun Zhu +3 more
semanticscholar +2 more sources
Quantitative Stability of Linear Infinite Inequality Systems under Block Perturbations with Applications to Convex Systems [PDF]
, 2011 The original motivation for this paper was to provide an efficient quantitative analysis of convex infinite (or semi-infinite) inequality systems whose decision variables run over general infinite-dimensional (resp.
AD Ioffe +22 more
core +5 more sources
Restrictive metric regularity and generalized differential calculus in Banach spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 50, Page 2653-2680, 2004., 2004 We consider nonlinear mappings f : X → Y between Banach spaces and study the notion of restrictive metric regularity of f around some point x¯, that is, metric regularity of f from X into the metric space E = f(X). Some sufficient as well as necessary and sufficient conditions for restrictive metric regularity are obtained, which particularly include ...
Boris S. Mordukhovich, Bingwu Wang
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Bipotentials for non monotone multivalued operators: fundamental results and applications [PDF]
, 2008 This is a survey of recent results about bipotentials representing multivalued operators. The notion of bipotential is based on an extension of Fenchel's inequality, with several interesting applications related to non associated constitutive laws in non
Buliga, Marius +2 more
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Some generalizations of common fixed point problems with applications
Fixed Point Theory and Applications, 2014 In this paper, we establish a unified approach to study the existence of fixed points for common fixed point problems. Moreover, we introduce mixed systems of common fixed point problems, systems of common fixed point problems and common fixed point ...
Zhe Yang
semanticscholar +2 more sources
Existence results for general inequality problems with constraints
Abstract and Applied Analysis, Volume 2003, Issue 10, Page 601-619, 2003., 2003 This paper is concerned with existence results for inequality problems of type F0(u; v) + Ψ′(u; v) ≥ 0, for all v ∈ X, where X is a Banach space, F : X → ℝ is locally Lipschitz, and Ψ : X → (−∞ + ∞] is proper, convex, and lower semicontinuous. Here F0 stands for the generalized directional derivative of F and Ψ′ denotes the directional derivative of Ψ.
George Dincă +2 more
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The Mann algorithm in a complete geodesic space with curvature bounded above
, 2013 The purpose of this paper is to prove two Δ-convergence theorems of the Mann algorithm to a common fixed point for a countable family of mappings in the case of a complete geodesic space with curvature bounded above by a positive number.
Y. Kimura +2 more
semanticscholar +1 more source