Publications in ISI journals in 2006-2018
Publications in ISI journals in 2006-2018
[1] P.D. Proinov,
Fixed point theorems in metric spaces,
Nonlinear Anal., 64, 546–557, 2006.
[2] P.D. Proinov,
A new semilocal convergence theorem for the Weierstrass method from data at one point,
Comp. Rend. Acad. Bulg. Sci., 59, 131-136, 2006.
[3] P.D. Proinov,
Semilocal convergence of two iterative methods for simultaneous computation of polynomial zeros,
Comp. Rend. Acad. Bulg. Sci., 59, 705-712 , 2006.
[4] P.D. Proinov,
A generalization of the Banach contraction principle with high order of convergence of successive approximations,
Nonlinear Anal., 67, 2361–2369, 2007.
[5] P.D. Proinov,
General local convergence theory for a class of iterative processes and its applications to Newton’s method,
J. Complexity 25, 38–62, 2009.
[6] P.D. Proinov,
New general convergence theory for iterative processes and its applications to Newton-Kantorovich type theorems,
J. Complexity, 26, 3–42, 2010.
[7] S.I. Cholakov,
Local convergence of Chebyshev-like method for simultaneous finding polynomial zeros,
Comp. Rend. Acad. Bulg. Sci. 66, 1081-1090, 2013.
[8] P.D. Proinov,
A unified theory of cone metric spaces and its applications to the fixed point theory,
Fixed Point Theory Appl. 2013:103,1-38, 2013.
[9] P.D. Proinov, M.D. Petkova,
On the convergence of the Weierstrass method for simultaneous approximation of polynomial zeros,
Comp. Rend. Acad. Bulg. Sci., 66, 809-818, 2013.
[10] P.D. Proinov, S.I. Ivanov,
Convergence of Schröder's method for polynomial zeros of unknown multiplicity,
Comp. Rend. Acad. Bulg. Sci., 66, 1073-1080, 2013.
[11] P.D. Proinov, S.I. Cholakov,
Semilocal convergence of Chebishev-like root-finding method for simultaneous approximation of polynomial zeros,
Appl. Math. Comput., 236, 669-682, 2014.
[12] P.D. Proinov, I.A. Nikolova,
On a theorem for existence and approximation of fixed points in cone normed spaces,
J. Inequal. Appl., 2014:226, 1-14, 2014.
[13] P.D. Proinov, M.D. Petkova,
A new semilocal convergence theorem for the Weierstrass method for finding zeros of a polynomial simultaneously,
J. Complexity, 30, 366-380, 2014.
[14] P.D. Proinov, M.D. Petkova,
Convergence of the two-point Weierstrass root-finding method,
Japan J. Indust. Appl. Math., 31, 279-292, 2014. http://rdcu.be/GGhF
[15] P.D. Proinov, S.I. Cholakov,
Convergence of Chebishev-like method for simultaneous approximation of multiple polynomial zeros,
Comp. Rend. Acad. Bulg. Sci., 67, 907-918, 2014.
[16] P.D. Proinov, S.I. Ivanov,
On the convergence of Halley's method for multiple polynomial zeros,
Mediter. J. Math., 12, 555-572, 2015. http://rdcu.be/GGhJ
[17] P.D. Proinov, S.I. Ivanov,
On the convergence of Halley’s method for simultaneous computation of polynomial zeros,
J. Numer. Math., 23, 379-394, 2015.
[18] P.D. Proinov, M.T. Vasileva,
On the convergence of a family of Weierstrass-type root-finding methods,
Comp. Rend. Acad. Bulg. Sci., 68, 697-704, 2015.
[19] P.D. Proinov, M.T. Vasileva,
On the convergence of high-order Ehrlich-type iterative methods for approximating all zeros of a polynomial simultaneously,
J. Inequal. Appl., 2015:336, 1-25, 2015.
[20] P.D. Proinov, I.A. Nikolova,
Approximation of point of coincidence and common fixed points of quasi-contraction mappings using the Jungck iteration scheme,
Appl. Math. Comput., 264, 359-365, 2015.
[21] S.I. Ivanov,
On the convergence of Chebyshev’s method for multiple polynomial zeros,
Results Math., 69, 93-103, 2016. http://rdcu.be/GHkl
[22] P.D. Proinov,
Relationships between different types of initial conditions for simultaneous root finding methods,
Appl. Math. Lett., 52, 102-111, 2016.
[23] P.D. Proinov,
A general semilocal convergence theorem for simultaneous methods for polynomial zeros and its applications to Ehrlich's and Dochev-Byrnev's methods,
Appl. Math. Comput., 284, 102-114, 2016.
[24] P.D. Proinov,
General convergence theorems for iterative processes and applications to the Weierstrass root-finding method,
J. Complexity, 33, 118-144, 2016.
[25] P.D. Proinov, M.T. Vasileva,
On a family of Weierstrass-type root-finding methods with accelerated convergence,
Appl. Math. Comput., 273, 957-968, 2016.
[26] P.D. Proinov,
On the local convergence of Ehrlich method for numerical computation of polynomial zeros,
Calcolo, 53, 102-111, 2016. http://rdcu.be/GGhU
[27] S.I. Ivanov,
A unified semilocal convergence analysis of a family of iterative algorithms for computing all zeros of a polynomial simultaneously,
Numer. Algor., 75, 1193–1204, 2017. https://rdcu.be/mV77
[28] V.K. Kyncheva, V.V. Yotov, S.I. Ivanov,
Convergence of Newton, Halley and Chebyshev iterative methods as methods for simultaneous determination of multiple polynomial zeros,
Appl.Numer.Math., 112, 146-154, 2017.
[29] V.K. Kyncheva, V.V. Yotov, S.I. Ivanov,
On the convergence of Schröder's method for the simultaneous computation of polynomial zeros of unknown multiplicity,
Calcolo, 54, 1199–1212, 2017. http://rdcu.be/GUEM
[30] S.I. Cholakov, M.T. Vasileva,
A convergence analysis of a fourth-order method for computing all zeros of a polynomial simultaneously,
J. Comput. Appl. Math., 321, 270-283, 2017.
[31] P.D. Proinov,
Unified convergence analysis for Picard iteration in n-dimensional vector spaces,
Calcolo, 55:6, 1-21, 2018. https://rdcu.be/GCU2