IJPAM: Volume 100, No. 3 (2015)

COMMON FIXED POINT THEOREMS FOR INTEGRAL
APPINGS SATISFYING IMPLICIT RELATIONS
IN MENGER SPACES

Shin Min Kang$^1$, Vishal Gupta$^2$, Balbir Singh$^3$, Sanjay Kumar$^4$
$^{1}$Department of Mathematics
Research Institute of Natural Science
Gyeongsang National University
Jinju, 660-701, KOREA
$^{2,3}$Department of Mathematics
Maharishi Markandeshwar University
Mullana, Ambala, Haryana, INDIA
$^{4}$Department of Mathematics
Deenbandhu Chhotu Ram University of Science and Technology
Murthal, Sonipat, Haryana, INDIA


Abstract. In this paper, we prove a common fixed point theorems using weakly reciprocally continuous, non-compatible self-mappings for integral mappings satisfying some implicit relations in Menger spaces.

Received: December 26, 2014

AMS Subject Classification: 47H10, 54H25

Key Words and Phrases: reciprocal continuity, weakly reciprocal continuity, $R$-weakly commuting mappings, $R$-weakly commuting of the type $(A_f),$ of the type $(A_g)$ and of the type $(P)$

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DOI: 10.12732/ijpam.v100i3.10 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: 2015
Volume: 100
Issue: 3
Pages: 423 - 433


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