Share This Article:

Common Fixed Point Results for Occasionally Weakly Compatible Maps in G-Symmetric Spaces

Abstract Full-Text HTML XML Download Download as PDF (Size:256KB) PP. 744-752
DOI: 10.4236/am.2014.54071    4,249 Downloads   5,329 Views   Citations


The notion of a G-symmetric space is introduced and the common fixed points for some pairs of occasionally weakly compatible maps satisfying some contractive conditions in a G-symmetric space are proved. The results extend and improve some results in literature.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Eke, K. and Olaleru, J. (2014) Common Fixed Point Results for Occasionally Weakly Compatible Maps in G-Symmetric Spaces. Applied Mathematics, 5, 744-752. doi: 10.4236/am.2014.54071.


[1] Eke, K.S. and Olaleru, J.O. (2013) Some Fixed Point Results on Ordered G-Partial Metric Spaces. ICASTOR Journal of Mathematical Sciences, 7, 65-78.
[2] Cartan, E. (1929) Sur la Determination d’un Systeme Orthogonal Complet dans un Espace de Riemman Symetrique Clos. Rendiconti del Circolo Matematico di Palermo, 53, 217-252.
[3] Wilson, W.A. (1931) On Semi-Metric Spaces. American Journal of Mathematics, 53, 361-373.
[4] Hicks, T.I. and Rhoades, B.E. (1999) Fixed Point Theory in Symmetric Spaces with Applications to Probabilistic Spaces. Nonlinear Analysis, 36, 331-344.
[5] Mustafa, Z. and Sims, B. (2006) A New Approach to Generalized Metric Spaces. Journal of Nonlinear and Convex Analysis, 7, 289-297.
[6] Kannan, R. (1968) Some Results on Fixed Points. Bulletin Calcutta Mathematical Society, 10, 71-76.
[7] Jungck, G. (1976) Commuting Mappings and Fixed Points. American Mathematics Monthly, 73, 261-263.
[8] Sessa, S. (1982) On a Weak Commutativity Condition of Mappings in Fixed Point Considerations. Publications of Institutional Mathematics, 32, 149-153.
[9] Jungck, G. (1986) Compatible Mappings and Common Fixed Points. International Journal of Mathematics and Mathematical Science, 9, 771-779.
[10] Al-Thagafi, M.A. and Shahzad, N. (2008) Generalised I-Nonexpansive Selfmaps and Invariant Approximations. Acta Mathematica Sinica, 24, 867-876.
[11] Pant, R.P. (1998) Common Fixed Points of Four Maps. Bulletin Calcutta Mathematical Society, 90, 281-286.
[12] Aamri, M. and El Moutawakil, D. (2002) Some New Common Fixed Point Theorems under Strict Contractive Conditions. Journal Mathematical Analysis and Applications, 270, 181-188.
[13] Jungck, G. and Rhoades, B.E. (2006) Fixed Point Theorems for Occasionally Weakly Compatible Mappings. Fixed Point Theory, 7, 287-296.
[14] Imdad, M., Ali, J. and Khan, L. (2006) Coincidence and Fixed Points in Symmetric Spaces under Strict Contractions. Journal of Mathematical Analysis and Applications, 320, 352-360.
[15] Bhatt, A., Chandra, H. and Sahu, D.R. (2010) Common Fixed Point Theorems for Occasionally Weakly Compatible Mappings under Relaxed Conditions. Nonlinear Analysis, 73, 176-182.
[16] Abbas, M. and Rhoades, B.E. (2008) Common Fixed Point Theorems for Occasionally Weakly Compatible Mappings Satisfying a Generalized Contractive Condition. Mathematical Communication, 13, 295-301.

comments powered by Disqus

Copyright © 2020 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.