Approximating Fixed Points of Nonlinear Mappings in Convex Metric Space

Chao Wang

Abstract


In this paper, we prove an existence fixed point theorem for a generalized nonlinear mapping in complete convex metric spaces. We introduce a family iterations to approximate fixed points of the generalized nonlinear mapping and discuss the effectiveness of these iterations. Some examples are also given to illustrate our results.

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The Thai Journal of Mathematics organized and supported by The Mathematical Association of Thailand and Thailand Research Council and the Center for Promotion of Mathematical Research of Thailand (CEPMART).

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|ISSN 1686-0209|