Common Fixed Point as a Contractive Fixed Point

T. Phaneendra, M. Chandra Shekhar

Abstract


In this paper, we prove a common fixed point theorem for a wider class of generalized contraction type mappings relative to a self-map and show that the common fixed point will be a contractive fixed point of the reference map under certain condition on contraction constant. Our result is a generalization of common fixed point theorems of first author, and of Akkouchi.

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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|