Displaying similar documents to “Coincidence and fixed points of nonlinear hybrid contractions.”

Coincidence and fixed point theorems for nonlinear hybrid generalized contractions

H. K. Pathak, Shin Min Kang, Yeol Je Cho (1998)

Czechoslovak Mathematical Journal

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In this paper we first prove some coincidence and fixed point theorems for nonlinear hybrid generalized contractions on metric spaces. Secondly, using the concept of an asymptotically regular sequence, we give some fixed point theorems for Kannan type multi-valued mappings on metric spaces. Our main results improve and extend several known results proved by other authors.

Coincidence points and R -weakly commuting maps

Naseer Shahzad, Tayyab Kamran (2001)

Archivum Mathematicum

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In this paper we extend the concept of R -weak commutativity to the setting of single-valued and multivalued mappings. We also establish a coincidence theorem for pairs of R -weakly commuting single-valued and multivalued mappings satisfying a contractive type condition.