IJPAM: Volume 108, No. 4 (2016)

COMMON COUPLED FIXED POINTS FOR FOUR
MAPS USING $\alpha$-ADMISSIBLE FUNCTIONS IN
COMPLEX VALUED $b$- METRIC SPACES

K.P.R. Rao$^1$, V.C.C. Raju$^2$, P. Ranga Swamy$^3$, Sk. Sadik$^4$
$^1$Department of Mathematics
Acharya Nagarjuna University
Nagarjuna Nagar, 522 510, A.P., INDIA
$^2$Department of Mathematics
University of Botswana
Private Bag, UB 00704, Gaborone, BOTSWANA
$^3$Department of Mathematics
St. Ann's College of Engineering and Technology,
Chirala, 523 187, Prakasam (Dt.), A.P., INDIA
$^4$Department of Mathematics
Sir CRR College of Engineering, Eluru
West Godhawari, 534007, Andhra Pradesh, INDIA


Abstract. In this paper, we obtain a unique common coupled fixed point theorem for four self maps using $\alpha$-admissible function in complex valued $b$-metric spaces. Also we give an example to illustrate our main theorem.

Received: November 25, 2015

AMS Subject Classification: 54H25, 47H10

Key Words and Phrases: complete metric spaces, $\alpha$-admissible functions, compatible mappings

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DOI: 10.12732/ijpam.v108i4.2 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: 108
Issue: 4
Pages: 751 - 766


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