Banach Journal of Mathematical Analysis

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

Abstract

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.

Article information

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

Dates
First available in Project Euclid: 14 August 2011

https://projecteuclid.org/euclid.bjma/1313362986

Digital Object Identifier
doi:10.15352/bjma/1313362986

Mathematical Reviews number (MathSciNet)
MR2738526

Zentralblatt MATH identifier
1226.47061

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

Citation

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. https://projecteuclid.org/euclid.bjma/1313362986

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