Convergence of modified S -iteration process for two asymptotically quasi-nonexpansive type mappings in CAT (0) spaces
Abstract: The purpose of this paper is to study convergence of a newly defined modified S-iteration process to a common fixed point of two asymptotically quasi-nonexpansive type mappings in the setting of CAT (0) space. We give a suffcient condition for convergence to a common fixed point and establish some strong convergence theorems for the said iteration process and mappings under suitable conditions. Our results extend and improve many known results from the existing literature.
- Location
-
Deutsche Nationalbibliothek Frankfurt am Main
- Extent
-
Online-Ressource
- Language
-
Englisch
- Bibliographic citation
-
Convergence of modified S -iteration process for two asymptotically quasi-nonexpansive type mappings in CAT (0) spaces ; volume:49 ; number:1 ; year:2016 ; pages:107-118 ; extent:12
Demonstratio mathematica ; 49, Heft 1 (2016), 107-118 (gesamt 12)
- Creator
-
Saluja, G. S.
- DOI
-
10.1515/dema-2016-0010
- URN
-
urn:nbn:de:101:1-2411181448541.028149718561
- Rights
-
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
-
15.08.2025, 7:34 AM CEST
Data provider
This object is provided by:
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Associated
- Saluja, G. S.
Other Objects (12)
Mixed type iteration for total asymptotically nonexpansive mappings in hyperbolic spaces
Convergence of Fibonacci–Ishikawa iteration procedure for monotone asymptotically nonexpansive mappings
Mixed-type SP-iteration for asymptotically nonexpansive mappings in hyperbolic spaces
Convergence of an implicit iteration process with errors for two asymptotically nonexpansive mappings
Convergence of modified S-iteration process for two asymptotically nonexpansive mappings in the intermediate sense in CAT ( 0 ) spaces
Convergence theorems for total asymptotically nonexpansive mappings in CAT ( κ ) $\operatornameCAT} (\kappa )$ spaces
On the strong convergence of a modified S-iteration process for asymptotically quasi-nonexpansive mappings in a CAT ( 0 ) space
Convergence of perturbed composite implicit iteration process for a finite family of asymptotically nonexpansive mappings
GENERALIZED THREE-STEP ITERATION SCHEMES AND COMMON FIXED POINTS OF THREE ASYMPTOTICALLY QUASI-NONEXPANSIVE MAPPINGS
The modified S-iteration process for nonexpansive mappings in CAT ( κ ) $\operatornameCAT}(\kappa)$ spaces
Fixed Point Theorems for Nonself Asymptotically Nonexpansive type Mappings in CAT(0) Spaces
Convergence theorems for total asymptotically nonexpansive non-self mappings in CAT ( 0 ) spaces
Mixed type iteration for total asymptotically nonexpansive mappings in hyperbolic spaces
Convergence of Fibonacci–Ishikawa iteration procedure for monotone asymptotically nonexpansive mappings
Mixed-type SP-iteration for asymptotically nonexpansive mappings in hyperbolic spaces
Convergence of an implicit iteration process with errors for two asymptotically nonexpansive mappings
Convergence of modified S-iteration process for two asymptotically nonexpansive mappings in the intermediate sense in CAT ( 0 ) spaces
Convergence theorems for total asymptotically nonexpansive mappings in CAT ( κ ) $\operatornameCAT} (\kappa )$ spaces
On the strong convergence of a modified S-iteration process for asymptotically quasi-nonexpansive mappings in a CAT ( 0 ) space
Convergence of perturbed composite implicit iteration process for a finite family of asymptotically nonexpansive mappings
GENERALIZED THREE-STEP ITERATION SCHEMES AND COMMON FIXED POINTS OF THREE ASYMPTOTICALLY QUASI-NONEXPANSIVE MAPPINGS
The modified S-iteration process for nonexpansive mappings in CAT ( κ ) $\operatornameCAT}(\kappa)$ spaces
Fixed Point Theorems for Nonself Asymptotically Nonexpansive type Mappings in CAT(0) Spaces
Convergence theorems for total asymptotically nonexpansive non-self mappings in CAT ( 0 ) spaces
Mixed type iteration for total asymptotically nonexpansive mappings in hyperbolic spaces
Convergence of Fibonacci–Ishikawa iteration procedure for monotone asymptotically nonexpansive mappings
Mixed-type SP-iteration for asymptotically nonexpansive mappings in hyperbolic spaces
Convergence of an implicit iteration process with errors for two asymptotically nonexpansive mappings
Convergence of modified S-iteration process for two asymptotically nonexpansive mappings in the intermediate sense in CAT ( 0 ) spaces
Convergence theorems for total asymptotically nonexpansive mappings in CAT ( κ ) $\operatornameCAT} (\kappa )$ spaces
On the strong convergence of a modified S-iteration process for asymptotically quasi-nonexpansive mappings in a CAT ( 0 ) space
Convergence of perturbed composite implicit iteration process for a finite family of asymptotically nonexpansive mappings
GENERALIZED THREE-STEP ITERATION SCHEMES AND COMMON FIXED POINTS OF THREE ASYMPTOTICALLY QUASI-NONEXPANSIVE MAPPINGS
The modified S-iteration process for nonexpansive mappings in CAT ( κ ) $\operatornameCAT}(\kappa)$ spaces
Fixed Point Theorems for Nonself Asymptotically Nonexpansive type Mappings in CAT(0) Spaces