Papers by Mihai Postolache
Fixed Point Theory and Applications, 2014
The purpose of this paper is to study the split feasibility problem and fixed point problem invol... more The purpose of this paper is to study the split feasibility problem and fixed point problem involved in the pseudocontractive mappings. We construct an iterative algorithm and prove its strong convergence. MSC: 47J25; 47H09; 65J15; 90C25
Fixed Point Theory and Applications, 2014
The asymptotically nonexpansive mappings have been introduced by Goebel and Kirk in 1972. Since t... more The asymptotically nonexpansive mappings have been introduced by Goebel and Kirk in 1972. Since then, a large number of authors have studied the weak and strong convergence problems of the iterative algorithms for such a class of mappings. It is well known that the asymptotically nonexpansive mappings is a proper subclass of the class of asymptotically pseudocontractive mappings. In the present paper, we devote our study to the iterative algorithms for finding the fixed points of asymptotically pseudocontractive mappings in Hilbert spaces. We suggest an iterative algorithm and prove that it converges strongly to the fixed points of asymptotically pseudocontractive mappings. MSC: 47J25; 47H09; 65J15 Keywords: asymptotically pseudocontractive mappings; iterative algorithms; fixed point; Hilbert space All authors read and approved the final manuscript.
Applied Mathematics and Computation, 2014
In this paper, we study the strong convergence of viscosity iteration and modified viscosity iter... more In this paper, we study the strong convergence of viscosity iteration and modified viscosity iteration process for strongly continuous semigroup of uniformly Lipschitzian asymptotically pseudocontractive mappings.
Journal of Inequalities and Applications, 2014
The purpose of this paper is to introduce a new three step iteration scheme for approximation of ... more The purpose of this paper is to introduce a new three step iteration scheme for approximation of fixed points of the nonexpansive mappings. We show that our iteration process is faster than all of the Picard, the Mann, the Agarwal et al., and the Abbas et al. iteration processes. We support our analytic proof by a numerical example in which we approximate the fixed point by a computer using Matlab program. We also prove some weak convergence and strong convergence theorems for the nonexpansive mappings. MSC: 47H09; 47H10
A hybrid iteration for asymptotically strictly pseudocontractive mappings
Journal of Inequalities and Applications, 2014
ABSTRACT In this paper, we propose a new hybrid iteration for a finite family of asymptotically s... more ABSTRACT In this paper, we propose a new hybrid iteration for a finite family of asymptotically strictly pseudocontractive mappings. We also prove that such a sequence converges strongly to a common fixed point of a finite family of asymptotically strictly pseudocontractive mappings. Results in the paper extend and improve recent results in the literature. MSC: 47H09, 47H10.
EQUILIBRIUM SETS OF MAGNETIC FIELDS AROUND ELECTRIC CIRCUITS
Advances on affine vector fields
In this paper, we study strong and -convergence for a newly defined two-step iteration process in... more In this paper, we study strong and -convergence for a newly defined two-step iteration process involving two asymptotically nonexpansive mappings in the intermediate sense which is wider than the class of asymptotically nonexpansive mappings in the setting of CAT(0) spaces. Our results generalize, unify and extend many known results from the existing literature. MSC: 54H25; 54E40
In this paper, a modified general composite implicit iteration process is used to study the conve... more In this paper, a modified general composite implicit iteration process is used to study the convergence of a finite family of asymptotically nonexpansive mappings. Weak and strong convergence theorems have been proved, in the framework of a Banach space. MSC: 47H09; 47H10
In aceastȃ lucrare, stabilim rezultate privind eficienţaşi dualitatea pentru o clasȃ de probleme ... more In aceastȃ lucrare, stabilim rezultate privind eficienţaşi dualitatea pentru o clasȃ de probleme de control multitemporal cu restricţii izoperimetrice, folosind tehnici de calcul variaţioanl. Maiîntâi, introducem condiţii de optimalitate pentru o problemȃ scalarȃ variaţionalȃ multitemporalȃ (SCP). Apoi, studiem condiţii de eficienţȃşi fundamentȃm o teorie a programului dual pentru o problemȃ vectorialȃ (VCP). Ambele probleme folosesc restricţii izoperimetrice, folosite frecvent când ne referim la resurse.În §1şi §2, amintim unele rezultateşi precizȃm punctul de plecare.În §3, studiem condiţii necesare de optim pentru problema (SCP).În §4, discutȃm condiţii de eficienţȃ pentru problema (VCP)şi fundamentȃm o teorie pentru programul dual. Aceastȃ lucrare este o continuare a unor lucrȃri recente (a se vedea [11], Ştefan Mititeluşi [22], Constantin Udrişte).
Phase Portraits and Critical Elements of Magnetic Fields Generated by a Piecewise Rectilinear Electric Circuits
EQUILIBRIUM POINTS OF MAGNETIC FIELDS GENERATED AROUND FILIFORM ELECTRICAL CIRCUTS
Duality of multitime vector integral programming with quasiinvexity
In this article, we establish strong convergence theorems for fixed points of strongly continuous... more In this article, we establish strong convergence theorems for fixed points of strongly continuous semigroup of uniformly Lipschitzian asymptotically pseudocontractive mappings, in the framework of real Banach space.
In this paper, we consider and investigate geometrically nonconvex functions. We derive several H... more In this paper, we consider and investigate geometrically nonconvex functions. We derive several Hermite-Hadamard type inequalities for geometrically (GG) nonconvex (relative convex) function and geometrically arithmetically (GA) nonconvex (relative convex) functions. We also obtain some fractional Hermite-Hadamard type inequalities. It is shown that one can obtain the previously known results as special cases from our results. The ideas and techniques of this paper may inspire further research in this field.
Numerical simulation of dynamic magnetical system
ABSTRACT
Acad. Sabba Stefanescu Conjecture: The Lines of the Magnetic Field Generated by Filiform Electrical Circuits
Magnetic field generated by two coplanar electrical circuits of fixed angle type and its field lines
ABSTRACT
2D Hessian Riemannian manifolds
In this article, the concept of cyclic (j -ψ)-contraction and a fixed point theorem for this type... more In this article, the concept of cyclic (j -ψ)-contraction and a fixed point theorem for this type of mappings in the context of complete metric spaces have been presented. The results of this study extend some fixed point theorems in literature. 2000 Mathematics Subject Classification: 47H10;46T99 54H25.
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Papers by Mihai Postolache