Invariant approximations, generalized -contractions, and -subweakly commuting maps.

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.

Remarks on recent fixed point theorems.

Singh, S.L., Mishra, S.N. (2010)

Fixed Point Theory and Applications [electronic only]

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Fixed and coincidence points of hybrid mappings

H. K. Pathak, M. S. Khan (2002)

Archivum Mathematicum

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The purpose of this note is to provide a substantial improvement and appreciable generalizations of recent results of Beg and Azam; Pathak, Kang and Cho; Shiau, Tan and Wong; Singh and Mishra.

Remarks on a fixed-point theorem of Gerald Jungck.

Singh, Maibam Ranjit (1990)

International Journal of Mathematics and Mathematical Sciences

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Displaying similar documents to “Invariant approximations, generalized I -contractions, and R -subweakly commuting maps.”

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