IJPAM: Volume 93, No. 2 (2014)

SOME COMMON FIXED POINT THEOREMS FOR WEAKLY
RECIPROCALLY CONTINUOUS MAPPINGS
IN A FUZZY METRIC SPACE

Shin Min Kang$^1$, Sanjay Kumar$^2$, Vishal Gupta$^{3}$, Balbir Singh$^4$
$^{1}$Department of Mathematics and RINS
Gyeongsang National University
Jinju, 660-701, KOREA
$^{2}$Department of Mathematics
Deenbandhu Chhotu Ram University of Science and Technology
Murthal, 131039, INDIA
$^{3}$Department of Mathematics
Maharishi Markandeshwar University
Mullana, 133203, INDIA
$^{4}$Department of Mathematics
Bhagwan Mahaveer Institute of Engineering and Technology
Sonipat, 131001, INDIA


Abstract. In this paper, we prove some common fixed point theorems for weakly reciprocally continuous mappings satisfying contractive conditions. Also, we prove a common fixed point theorems in a fuzzy metric space from the class of compatible mappings to non-compatible mappings in a fuzzy metric space.

Received: February 28, 2014

AMS Subject Classification: 47H10, 54H25

Key Words and Phrases: compatible mapping, non-compatible mapping, weakly reciprocally continuous mapping, $R$-weakly commuting mapping, $R$-weakly commuting of type $(A_f),$ of type $(A_g)$ and of type $(P)$

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DOI: 10.12732/ijpam.v93i2.10 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: 93
Issue: 2
Pages: 261 - 274

CC BY This work is licensed under the Creative Commons Attribution International License (CC BY).