Banach Journal of Mathematical Analysis

A Gregus type common fixed point theorem in normed spaces with application

Hemant Kumar Pathak and Rakesh Tiwari

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n this paper, we introduce the notion of $\phi$-weakly compatible mapping for a pair of mappings. A fixed point theorem for two pairs of $\phi$-weakly compatible mappings satisfying a rational type contraction in a normed space is also established. Subsequently we use our result to find existence of solutions of variational inequalities.

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Banach J. Math. Anal., Volume 5, Number 1 (2011), 136-147.

First available in Project Euclid: 14 August 2011

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Zentralblatt MATH identifier

Primary: 22-xx
Secondary: 46H05: General theory of topological algebras

\phi-weakly compatible mappings variational inequality


Pathak, Hemant Kumar; Tiwari, Rakesh. A Gregus type common fixed point theorem in normed spaces with application. Banach J. Math. Anal. 5 (2011), no. 1, 136--147. doi:10.15352/bjma/1313362986.

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