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Meromorphic functions of restricted hyper-order sharing one or two sets with its linear C-shift operator
In this paper, in the light of weighted sharing of sets, we investigate the possible uniqueness of meromorphic function of restricted hyper order...
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Some Theorems on a Minimum of a Function, Fixed and Coincidence Points
AbstractWe present an operator inequality of a new type which yields the existence of a minimum point for a (non necessarily continuous) function on...
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A Survey on Best Proximity Point Theory in Reflexive and Busemann Convex Spaces
In this chapter, we present some best proximity point theorems for Kannan cyclic map**s in the setting of Busemann convex spaces which are...
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Orbital Stability of Small Periodic Solutions of an Autonomous System of Differential Equations
We consider a normal autonomous system of differential equations with a small parameter, which has a critical linear approximation at zero value of...
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The Dual Graph Shift Operator: Identifying the Support of the Frequency Domain
Contemporary data is often supported by an irregular structure, which can be conveniently captured by a graph. Accounting for this graph support is...
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Global optimization of a nonlinear system of differential equations involving \(\psi \)-Hilfer fractional derivatives of complex order
In this paper, a class of cyclic (noncyclic) operators of condensing nature are defined on Banach spaces via a pair of shifting distance functions....
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Darbo type best proximity point results via simulation function with application
Primarily this work intends to prove the best proximity point (pair) results using the concept of measure of noncompactness and simulation functions....
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A Strong Law of Large Numbers for Random Monotone Operators
Random monotone operators are stochastic versions of maximal monotone operators which play an important role in stochastic nonsmooth optimization....
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Newton acceleration on manifolds identified by proximal gradient methods
Proximal methods are known to identify the underlying substructure of nonsmooth optimization problems. Even more, in many interesting situations, the...
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Direct and Converse Theorems for Iterative Methods of Solving Irregular Operator Equations and Finite Difference Methods for Solving Ill-Posed Cauchy Problems
AbstractResults obtained in recent years concerning necessary and sufficient conditions for the convergence (at a given rate) of approximation...
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Common best proximity pairs via the concept of complete proximal normal structure
We introduce a concept of complete proximal normal structure and used to investigate the existence of a best proximity point for an arbitrary family...
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Resolvent and Proximal Compositions
We introduce the resolvent composition, a monotonicity-preserving operation between a linear operator and a set-valued operator, as well as the...
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Approximation to the Sturm–Liouville Problem with a Discontinuous Nonlinearity
AbstractWe consider a continuous approximation to the Sturm–Liouville problem with a nonlinearity discontinuous in the phase variable. The...
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An extension of the proximal point algorithm beyond convexity
We introduce and investigate a new generalized convexity notion for functions called prox-convexity. The proximity operator of such a function is...
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Strong subdifferentials: theory and applications in nonconvex optimization
A new subdifferential for dealing with nonconvex functions is provided in the following paper and the usual properties are presented as well....
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Accelerated Stochastic Peaceman–Rachford Method for Empirical Risk Minimization
This work is devoted to studying an accelerated stochastic Peaceman–Rachford splitting method (AS-PRSM) for solving a family of structural empirical...
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Subordinations on Bounded Distributive Lattices
In this paper we shall study some classes of bounded distributive lattices endowed with a subordination relation, called subordination lattices. We...
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Convergence rate analysis for fixed-point iterations of generalized averaged nonexpansive operators
We estimate convergence rates for fixed-point iterations of a class of nonlinear operators which are partially motivated by convex optimization...
