IJPAM: Volume 107, No. 2 (2016)

COMMON FIXED POINTS OF $R$-WEAKLY
COMMUTING MAPPINGS AND ITS VARIANTS FOR
MULTIPLICATIVE EXPANSIVE MAPPINGS

Poonam Nagpal$^1$, Sudhir Kumar Garg$^2$, Sanjay Kumar$^3$, Shin Min Kang$^4$
$^{1,2,3}$Department of Mathematics
Deenbandhu Chhotu Ram University of Science and Technology
Murthal, Sonipat, 131039, Haryana, INDIA
$^2$Department of Mathematics and RINS
Gyeongsang National University
Jinju, 52828, KOREA


Abstract. In this paper, we introduce the notions of $R$-weakly commuting and its variants for multiplicative expansive mappings in multiplicative metric spaces and prove common fixed point theorems for these mappings. Moreover, we prove a common fixed point theorem for weakly reciprocally continuous mappings. We also provide examples in support of our results.

Received: December 8, 2015

AMS Subject Classification: 47H10, 54H25

Key Words and Phrases: multiplicative metric spaces, multiplicative expansive mappings, $R$-weakly commuting mappings, $R$-weakly commuting mappings of types, weakly reciprocally continuous mappings

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DOI: 10.12732/ijpam.v107i2.5 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: 2016
Volume: 107
Issue: 2
Pages: 343 - 356


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