IJPAM: Volume 90, No. 1 (2014)

TWO FIXED POINT THEOREMS OF MAPPINGS SATISFYING
CONTRACTIVE INEQUALITIES OF INTEGRAL TYPE

Zeqing Liu$^1$, Bi Xu$^2$, Shin Min Kang$^3$
$^{1,2}$Department of Mathematics
Liaoning Normal University
Dalian, Liaoning, 116029, P.R. CHINA
$^{3}$Department of Mathematics and RINS
Gyeongsang National University
Jinju, 660-701, KOREA


Abstract. Two fixed point theorems of mappings satisfying contractive inequalities of integral type in complete metric spaces are proved. The results presented in this paper improve, unify and include a few results existing in literature.

Two illustrative examples are also provided.

Received: November 29, 2013

AMS Subject Classification: 54H25

Key Words and Phrases: fixed point, contractive inequality of integral type, complete metric space

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DOI: 10.12732/ijpam.v90i1.11 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: 1