( ISSN 2277 - 9809 (online) ISSN 2348 - 9359 (Print) ) New DOI : 10.32804/IRJMSH

Impact Factor* - 6.2311


**Need Help in Content editing, Data Analysis.

Research Gateway

Adv For Editing Content

   No of Download : 148    Submit Your Rating     Cite This   Download        Certificate

SOME COMMON FIXED POINT THEOREMS FOR A PAIR OF MAPS IN G-METRIC SPACES USING THE CONCEPT OF COMPATIBLE CONTINUITY

    2 Author(s):  SUKH RAJ SINGH , DR. R.D. DAHERIYA

Vol -  6, Issue- 1 ,         Page(s) : 33 - 38  (2015 ) DOI : https://doi.org/10.32804/IRJMSH

Abstract

Abstract: In this paper, we prove common fixed point theorems using the concept of compatible maps and also to introduce the (E.A.) property and weak compatibility of mappings in G-metric spaces.

1. Jungck,G: Commuting mappings and fixed points. Am.Math. Mon. 83, 261-263 (1976)
2. Jungck, G: Compatible mappingsand common fixed points. Int. J. Math. Math. Sci. 9, 771-779 (1986)
3. Dhage, BC: Generalized metric spaces and mappings with fixed point. Bull. Cacutta Math. Soc. 84, 329-336 (1992)
4. Mustafa, Z, Sims, B: Some remarks concerning D-metric spaces. In proceeding of international conference on Fixed Point Theory and Applications, Valencia, Spain, 13-19 July, pp. 189-198. Yokohama Publishers, Yokohama (2004)
5. Mustafa, Z, Sims, B: A new approach to generalized metric spaces. J. Nonlinear. Convex Anal. 7, 289-297 (2006) 
6. Mustafa, Z, Sims, B: Fixed point theorems for contractive mappings in complete G-metric spaces. Fixed Point Theory Appl. 2009, Article ID 917175 (2009)
7. Mustafa, Z, Obiedat, H, Awawdeh, F: Some fixed point theorems for mappings on complete G-metric space. Fixed Point Theory Appl. 2008, Article ID 18970 (2008)
8. Manro, S, Bhatia, SS, Kumar, S: Expansion mapping theorems in G-metric spaces. Int. J. Contemp. Math. Sci. 5(51), 2529-2535 (2010) 
9. Manro, S, Kumar, S, Bhatia, S: R weakly commuting maps in G-metric spaces. Fasc. Math. 47, 11-17 (2011)
10. Aamari, M, Moutawaki, D.El; Some new common fixed point theorems under strict contractive condition. J. Math. Anal. Appl. 270 (2002), 181-188
11. Pathak, H.K., Rodriguez-Lopez, R., Verma, H.K: A common fixed point theorem using implicit relation and E.A. property in metric spaces. Filomat, 21 (2007),211-234

*Contents are provided by Authors of articles. Please contact us if you having any query.






Bank Details