IJPAM: Volume 90, No. 2 (2014)

FIXED POINT THEOREMS FOR $\phi$-WEAKLY
EXPANSIVE MAPPINGS IN METRIC SPACES

Shin Min Kang$^1$, Manoj Kumar$^2$, Pankaj Kumar$^3$, Sanjay Kumar$^{4}$
$^{1}$Department of Mathematics and RINS
Gyeongsang National University
Jinju, 660-701, KOREA
$^{2}$Department of Mathematics
Delhi Institute of Technology and Management
Gannaur, Sonipat 131001, India
Guru Jambheshwar University of Science and Technology
Hisar, 125001, INDIA
$^{3}$Department of Mathematics
Guru Jambheshwar University of Science and Technology
Hisar, 125001, INDIA
$^{4}$Department of Mathematics
Deenbandhu Chhotu Ram University of Science and Technology
Murthal, 131039, INDIA


Abstract. In this paper, we introduce the concept of $\phi$-weakly expansive mappings

Received: August 26, 2013

AMS Subject Classification: 47H10, 54H25

Key Words and Phrases: $\phi$-weakly expansive mapping, weak reciprocal continuity, compatible mapping, $R$-weakly commuting mapping, $R$-weakly commuting mapping of type $(A_f)$, of type $(A_g)$ and of type $(P)$

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DOI: 10.12732/ijpam.v90i2.4 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: 90
Issue: 2