IJPAM: Volume 97, No. 1 (2014)

THE EXISTENCE OF COMMON FIXED POINTS FOR
FAINTLY COMPATIBLE MAPPINGS IN MENGER SPACES

Shin Min Kang$^1$, Vishal Gupta$^2$, Balbir Singh$^3$, Sanjay Kumar$^{4}$
$^1$Department of Mathematics
Gyeongsang National University
Jinju, 660-701, KOREA
$^{2,3}$Department of Mathematics
Maharishi Markandeshwar University
Mullana, Ambala, Haryana, INDIA
$^{4}$Department of Mathematics
Deenbandhu Chhotu Ram University of Science and Technology
Murthal, Sonipat, Haryana, INDIA


Abstract. In this paper, we prove the existence of common fixed points of noncompatible faintly compatible mappings in Menger spaces. We also provide examples in support of our results.

Received: June 24, 2014

AMS Subject Classification: 47H10, 54H25

Key Words and Phrases: Menger space, faintly compatible mapping, noncompatible mapping, common fixed point, coincidence point

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DOI: 10.12732/ijpam.v97i1.5 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2014
Volume: 97
Issue: 1
Pages: 37 - 48


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