On a fixed point theorem of Pathak.

In this paper a new class of self-mappings on metric spaces, which satisfy the nonexpensive type condition (3) below is introduced and investigated. The main result is that such mappings have a unique fixed point. Also, a remetrization theorem, which is converse to Banach contraction principle is given.

A common fixed point theorem for compatible mappings on a normed vector space

H. K. Pathak, Brian Fisher (1997)

Archivum Mathematicum

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A common fixed theorem is proved for two pairs of compatible mappings on a normed vector space.

Remarks on a fixed-point theorem of Gerald Jungck.

Singh, Maibam Ranjit (1990)

International Journal of Mathematics and Mathematical Sciences

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