𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Convergence of steepest descent approximation for set-valued quasi-accretive mapping equations

✍ Scribed by N.-J. Huang; Y.J. Cho; M.-R. Bai; S.M. Kang

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
762 KB
Volume
32
Category
Article
ISSN
0895-7177

No coin nor oath required. For personal study only.

✦ Synopsis

In

this paper, some new results on convergence of the new steepest descent approximation methods for set-valued quasi-accretive mappings in reflexive Banach spaces and uniformly smooth Banach spaces are obtained, respectively. Our results extend and improve a number of recent results.

πŸ“œ SIMILAR VOLUMES

Convergence of iterative processes with
Convergence of iterative processes with errors for set-valued pseudocontractive and accretive type mappings in Banach spaces
✍ Nan Jing Huang; Y.J. Cho; B.S. Lee; J.S. Jung πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 677 KB

In this paper, some new results on convergence of iterative processes with errors for setvalued pseudocontractive and accretive mappings in Banach spaces are obtained. Our results extend and improve a number of the recent results.

Convergence theorems, best approximation
Convergence theorems, best approximation and best proximity for set-valued dynamic systems of relatively quasi-asymptotic contractions in cone uniform spaces
✍ Kazimierz WΕ‚odarczyk; Robert Plebaniak; Cezary ObczyΕ„ski πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 1004 KB

In cone uniform spaces X , using the concept of the D-family of cone pseudodistances, the distance between two not necessarily convex or compact sets A and B in X is defined, the concepts of cyclic and noncyclic set-valued dynamic systems of D-relatively quasiasymptotic contractions T : A βˆͺ B β†’ 2 Aβˆͺ