The Personal Homepage of
Mohamad Reza Pouryayevali

 

Department of Mathematics,
University of Isfahan

  

 

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Publications:

 

 

 

J. Ferrera, M. R. Pouryayevali and H. Radmanesh. Weak geodesics on prox-regular subsets of Riemannian manifolds.

 ESAIM: COCV 31 (2025) 49

 

N. Hoseini Monjezi, S. Nobakhtian, M. R. Pouryayevali,  Nonsmooth nonconvex optimization on Riemannian
manifolds via bundle trust region algorithm, Computational Optimization and Applications, Vol. 88, 871–902, (2024).

 

Juan Ferrera, M. R. Pouryayevali, H. Radmanesh, Local minimality of weak geodesics on proxregular subsets of Riemannian manifolds,

To appear in  Mediterranean Journal of Mathematics.

 

N. Hoseini Monjezi, S. Nobakhtian, M. R. Pouryayevali, A proximal bundle algorithm for nonsmooth optimization on Riemannian manifolds,

 IMA Journal of Numerical Analysis, 43, 293- 325, 2023.

 

M. R. Pouryayevali, H. Radmanesh, Minimizing curves in prox-regular subsets of Riemannian manifolds,

Set-Valued and Variational Analysis, 30, 677- 694, 2022.

 

S. Khajehpour, M. R. Pouryayevali,  Convexity of the Distance Function to Convex Subsets of Riemannian Manifolds,

Journal of Convex Analysis, 26,1321-1336, 2019.

 

M. R. Pouryayevali, H.Radmanesh, Sets with the Unique Footpoint Property and φ-Convex Subsets of  Riemannian Manifolds, Journal of Convex Analysis, 26, 617-633, 2019.

M. R. Pouryayevali, H. Radmanesh, Trajectories of differential inclusions on Riemannian manifolds and invariance,

 Set valued and Variational Analysis,  27, 241-264, 2019.

 

K. Ghassemi, J. Ghaisari, M. R. Pouryayevali, Decentralised attitude synchronisation of multiple rigid bodies on lie group SO(3), 

IET Control Theory & Applications, 12, 97-109, 2018.

 

E. Ghahraei, S. Hosseini, M. R. Pouryayevali, Psedo-Jacobian and characterization of monotonevector fields

on Riemannian  manifolds, Journal of Convex Analysis 24, 149-168, 2017.

 

S. Khajehpour, M. R. Pouryayevali, Viscosity solutions of second order partial differential equations with boundary

conditions on Riemannian manifolds, Noninear Analysis: Theory, Methods & Applications, 146, 211-232, 2016.

 

S. Hosseini, M. R. Pouryayevali, Equilibria on L-retracts in Riemannian manifolds,
Topological Methods in Nonlinear Analysis, 47, 579-592, 2016.

 

Ghahraei, S. Hosseini, M. R. Pouryayevali, Psedo-Jacobian and global inversion

of nonsmooth mappings on Riemannian manifolds, Noninear Analysis: Theory, Methods & Applications,130, 229-240, 2016.

S. Hosseini, M. R. Pouryayevali, On the metric projection onto proxregular subsets of Riemannian manifolds,                                                           Proceedings of the American Mathematical Society, 141, 233-244, 2013.


 S. Hosseini, M. R. Pouryayevali, Euler characteristic of epi-Lipschitz subsets of Riemannian manifolds,

Journal of Convex Analysis, 20, 67-91, 2013.


 A. Barani S. Hosseini M. R. Pouryayevali, On the metric projection onto φ-convex subsets of Hadamard manifolds,

Revista Matemática Complutense, 26, 815-826, 2013.


 M. Alavi Hejazi, S. Hosseini, M. R. Pouryayevali, On the Calculus of Limiting Subjets on Riemannian Manifolds,                                            Mediterranean Journal of Mathematics 10, 593-607, 2013.
 

S. Hosseini, M. R. Pouryayevali, Nonsmooth Optimization Techniques on
Riemannian Manifolds, Journal of Optimization Theory and Applications, 158, 328-342, 2013.
 

S. Nobakhtian and M. R. Pouryayevali, KKT optimality conditions
and nonsmoth continuous time optimization problems, Numerical Functional Analysis and Optimization, 32(11) 1175-1189, 2011.
 

S. Hosseini and M. R. Pouryayevali, Generalized gradients and characterization of epi-Lipschitz sets in Riemannian manifolds,
Nonlinear Analysis: Theory, Methods & Applications,  74, 3884-3895, 2011.

 A. Barani, M. R. Pouryayevali, Vector optimization problems under d-invexity on Riemannian manifolds,

Differential Geometry -Dynamical Systems, 13, 47-57, 2011.
 

S. Nobakhtian and M. R. Pouryayevali, Optimality conditions and duality for nonsmooth fractional continuous-time problems 

Journal of Optimization Theory and Applications, 152, 245-255, 2012. 

 

A. Barani and M. R. Pouryayevali, Invariant monotone vector fields on Riemannian manifolds,

Nonlinear Analysis: Theory, Methods & Applications, 70, 1850-1861, 2009.

 S. Nobakhtian and M. R. Pouryayevali, Optimality criteria for nonsmoth multiobjective optimization continuous- time problems,

Journal of Optimization Theory and Applications,136, 69-76,2008.

 S. Nobakhtian and M. R. Pouryayevali, Duality for Nonsmooth vector optimization Continuous- Time problems, Journal of

Optimization Theory and Applications ,136, 77-85, 2008.

 J. Mashreghi and M. R. Pouryayevali, Argument of outer function on the real line, Illinois Journal of Mathematics,
51,499-511, 2007.

 P. M. Gauthier, M. R. Pouryayevali, Universal (pluri) subharmonic functions, Analysis, 27, 273-284, 2007.

 A. Barani and M. R. Pouryayevali, Invex sets and preinvex functions on Riemannian manifolds, 

Journal of Mathematical Analysis and Applications,  328, 767-779, 2007.

 J. Mashreghi and M. R. Pouryayevali, On the regularity of S-differential metric on complex manifolds, Canadian Mathematical
Bulletin, 48, 601-606, 2005.

 P. M. Gauthier and M. R. Pouryayevali, Covering properties of most entire functions on Stein manifolds, Computational Methods
and Function Theory, 5, 223-236, 2005.

 P.M. Gauthier and M. R. Pouryayevali, Failure of Landau's theorem for quasiconformal mappings of the disc,                                                            Contemporary Mathematics, AMS,  355, 265-268, 2004.

 P. M.Gauthier and M. R. Pouryayevali, Approximation by meromorphic functions with Mittag-Leffer type constraints,  

Canadian Mathematical Bulletin,  44, 420-428, 2001.

 Book:

 S. Nobakhtian and M. R. Pouryayevali, Optimality conditions and duality for nonsmooth multiobjective continuous time problems,

In Optimality Conditions in Vector Optimization, Bentham eBooks, 2010, 164-182. ISBN: 978-1-60805-110-6, 2010.


Papers presented in conferences and seminars:

 

[1] S. Hosseini and M. R. Pouryayevali, Noonsmooth General Minimization on Complete Riemannian Manifolds,

International Conference on Operations Research and Optimization, IPM, Tehran, Iran, 2011.
 

[2] M. R. Pouryayevali, Nonsmooth variational problems on Riemannian manifolds, 40th Annual Iranian Mathematical conference,
Aug. 2009.

[3] M. R. Pouryayevali, Continuous time problems on manifolds,The 2nd International conference on nonlinear analysis 

and optimization, 2009, Isfahan, Iran


[4] M. R. Pouryayevali, Generalized Convexity on Riemannian manifolds, International Conference on 

Nonlinear Analysis and optimization, 2007, Isfahan, Iran.

[5] M. R. Pouryayevali, Entire holomorphic mapping on stein manifolds, International conference on

Harmonic Analysis and Approximations III, Armenia, 2005.

[6] M. R. Pouryayevali, A new differential metric for injective Kobayashi pseudo-distance on complex manifolds, 36th Annual
Iranian Mathematical conference, Sept. 2005.

[7] M. R. Pouryayevali, Oka-weil theorem for plurisubharmonic functions, 35th Annual Iranian Mathematics Conference, january,
2005.

[8] M. R. Pouryayevali, On the Convexity condition for S-differential metric, 15th Seminar of Mathematical Analysis and
its Applications, march, 2005.

[9]M. R. Pouryayevali, Optimality condition for nonsmooth problems on Riemannian manifolds, 4th Annual McMaster optimization
conference and Application, McMaster University, Canada, July
28-30, 2004.

[10]M. R. Pouryayevali, Entire holomorphic mappings and schlicht balls, Proceeding of the 14th Seminar of Mathematical Analysis and
its applications, Iran, 158-161, 2004.

[11]M. R. Pouryayevali, schlicht balls on manifolds, proceeding of 3rd Seminar of Geometry and Topology, Iran, 321-325, 2004.

[12]S. Nobakhtian and M. R. Pouryayevali, Nonsmooth optimization on Riemannian manifolds,                                                                                Proceeding of 2nd Seminar on Geometry and Topology, Iran, 2003.

[13]M. R. Pouryayevali, The derivative of invariant distances on complex manifolds, Proceeding of 2nd Seminar on Geometry and
Topology, Iran, 2003.

[14]M. R. Pouryayevali, The radii of schlicht balls of holomorphic mappings on bounded domains of Cn, Proceeding of the 12th Iranian
Seminar of Mathematical Analysis and its Application, Iran, 156-171, 2002.

[15]M. R. Pouryayevali, Bloch mappings on bounded domains of C^n. Proceeding of the 31nd Iranian Mathematics conference, 2001.

[16]M. R. Pouryayevali, On the derivative of Hermitian distances, Proceeding of the 11th. Iranian seminar of Mathematical Analysis
and its Application, Iran, 135-142, 2001.