CONVERGENCE OF FIXED POINT OF ASYMPTOTICALLY QUASI-NONEXPANSIVE TYPE MAPPINGS IN CONVEX METRIC SPACE
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Authors
GURUCHARAN SINGH SALUJA
- Department of Mathematics & Information Technology, Govt. Nagarjun P.G. College of Science, Raipur (C.G.), India..
Abstract
In this paper, we give some necessary and sufficient conditions for
three-step iterative sequence with errors for asymptotically quasi-nonexpansive
type mapping converging to a fixed point in convex metric spaces. The results
presented in this paper extend the corresponding results of Kim et al. [9, 10] and
many others. Also the corresponding results in [1, 2, 3, 6, 12, 13, 14, 16, 18, 20]
are spcial cases of our results.
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ISRP Style
GURUCHARAN SINGH SALUJA, CONVERGENCE OF FIXED POINT OF ASYMPTOTICALLY QUASI-NONEXPANSIVE TYPE MAPPINGS IN CONVEX METRIC SPACE, Journal of Nonlinear Sciences and Applications, 1 (2008), no. 3, 132-144
AMA Style
SALUJA GURUCHARAN SINGH, CONVERGENCE OF FIXED POINT OF ASYMPTOTICALLY QUASI-NONEXPANSIVE TYPE MAPPINGS IN CONVEX METRIC SPACE. J. Nonlinear Sci. Appl. (2008); 1(3):132-144
Chicago/Turabian Style
SALUJA, GURUCHARAN SINGH. "CONVERGENCE OF FIXED POINT OF ASYMPTOTICALLY QUASI-NONEXPANSIVE TYPE MAPPINGS IN CONVEX METRIC SPACE." Journal of Nonlinear Sciences and Applications, 1, no. 3 (2008): 132-144
Keywords
- Asymptotically nonexpansive mapping
- asymptotically nonexpansive type mapping
- asymptotically quasi-nonexpansive type mapping
- convex metric space
- fixed point
- three-step iterative process with errors.
MSC
References
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