Search
Search Results
-
Enhanced Computation of the Proximity Operator for Perspective Functions
In this paper, we provide an explicit expression for the proximity operator of a perspective of any proper lower semicontinuous convex function...
-
-
Resolvent of the parallel composition and the proximity operator of the infimal postcomposition
In this paper we provide the resolvent computation of the parallel composition of a maximally monotone operator by a linear operator under mild...
-
Strong convergence of inertial shrinking projection method for split best proximity point problem and mixed equilibrium problem
In this paper, we introduce an inertial shrinking projection algorithm to approximate a solution of the best proximity point problem in such a way...
-
On unbounded solutions for differential equations with mean curvature operator
We present necessary and sufficient conditions for the existence of unbounded increasing solutions to ordinary differential equations with mean...
-
Existence and convergence of best proximity points for generalized pseudo-contractive and Lipschitzian map**s via an Ishikawa-type iterative scheme
In this article, we prove the existence of the best proximity point for the class of nonself generalized pseudo-contractive and Lipschitzian...
-
Strong convergence of best proximity points via projection operators with an application
In this paper, we propose some novel iterative algorithms that converge strongly to the best proximity point using the class of nonexpansive...
-
Isotonicity of the proximity operator and mixed variational inequalities in Hilbert spaces
In this paper, the isotonicity of the proximity operator and its applications are discussed. We first establish a few new conditions of the map**s...
-
Approximation of common best proximity points for proximally mean nonexpansive map**s in Banach spaces
In this paper, we considered Thakur et al. (J Inequal Appl 2014(328):15, 2014. https://doi.org/10.1186/1029-242X-2014-328 ) iterative process...
-
Remarks on the paper “A characterization of weak proximal normal structure and best proximity pairs”
In this work we present an improved version of the recently introduced concept (Digar et al. in Rev Real Acad Cienc Exactas Fis Nat Ser A Mat 116:80,...
-
-
Reaching Takahashi-type nonexpansive operators via modular structures with application to best proximity point
In this study, we introduce the concepts of modular Reich-type and modular Chatterjea-type nonexpansive map**s, as natural extensions of their...
-
Some remarks on convergence of best proximity points and Semi-cyclic contractions
We show that the main conclusions of the recent paper by R. Suparatulatorn et al. [R. Suparatulatorn, W. Cholamjiak and S. Suantai, Existence and...
-
Best proximity point results and application to a system of integro-differential equations
In this work, we solve the system of integro-differential equations (in terms of Caputo–Fabrizio calculus) using the concepts of the best proximity...
-
Generalized Bregman Envelopes and Proximity Operators
Every maximally monotone operator can be associated with a family of convex functions, called the Fitzpatrick family or family of representative...
-
Sadovskii Type Best Proximity Point (Pair) Theorems with an Application to Fractional Differential Equations
This paper aims to establish the existence of best proximity points for Sadovskii type map**s. The key concept used is measure of noncompactness...
-
A Deep Learning Method for Computing Eigenvalues of the Fractional Schrödinger Operator
The authors present a novel deep learning method for computing eigenvalues of the fractional Schrödinger operator. The proposed approach combines a...
-
Solving monotone inclusions involving the sum of three maximally monotone operators and a cocoercive operator with applications
In this paper, we propose two four-operator splitting algorithms for approaching the set of zeros of the sum of three maximally monotone operators...
-
On Regularization of Classical Optimality Conditions in Convex Optimization Problems for Volterra-Type Systems with Operator Constraints
AbstractWe consider the regularization of classical optimality conditions—the Lagrange principle and the Pontryagin maximum principle—in a convex...