# Common Fixed Point Theorem for Uniformly R-subweakly Commuting Mappings in Hausdorff Locally Convex Space

Volume 7, Issue 3, pp 196-204
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### Authors

H. Shojaei - Department of Mathematics, Payame Noor Universi Theran, Iran. S. Dehghani - Department of Mathematics, Payame Noor Universi Theran, Iran.

### Abstract

We show common fixed point theorem for generalized non-expansive and uniformly R-subweakly commuting mappings satisfying a more uniformly asymptotically regular condition in Hausdorff locally convex space.

### Share and Cite

##### ISRP Style

H. Shojaei, S. Dehghani, Common Fixed Point Theorem for Uniformly R-subweakly Commuting Mappings in Hausdorff Locally Convex Space, Journal of Mathematics and Computer Science, 7 (2013), no. 3, 196-204

##### AMA Style

Shojaei H., Dehghani S., Common Fixed Point Theorem for Uniformly R-subweakly Commuting Mappings in Hausdorff Locally Convex Space. J Math Comput SCI-JM. (2013); 7(3):196-204

##### Chicago/Turabian Style

Shojaei, H., Dehghani, S.. "Common Fixed Point Theorem for Uniformly R-subweakly Commuting Mappings in Hausdorff Locally Convex Space." Journal of Mathematics and Computer Science, 7, no. 3 (2013): 196-204

### Keywords

• Uniformly R-subweakly commuting mapping
• non-expansive
• uniformly asymptotically regular.

•  54H25
•  47H10
•  52A07

### References

• [1] F. Akbar, A. R. Khan, Common fixed point and approximation results for noncommuting maps on locally convex spaces, Fixed point theory and applications, article ID 207503, (2009), 14 pages

• [2] I. Beg, D. R. Sahu, S. D. Diwan, Approximation of fixed points of uniformly R-subweakly commuting mappings, J.Math,Anal.appl. , 1105–1114 (2006)

• [3] Y. J. Cho, D. R. Sahu, J. S. Jung, Approximation of fixed points of asymptotically pseudocontractiv mappings in Banach Spaces, Southwest.J.Pure.Appl.Math, 2 (2003), 49-59

• [4] K. Goebel, W. A. Kirk, A fixed point theorem for asymptotically nonexpansive mappings, Proc.Amer.Math.Soc., 35 (1972), 171-174

• [5] N. Hussain, G. Jungck, Common fixed points and invariant approximation results for noncommuting generalized (f, g) nonxpansive maps, J. Math. Anal. Appl. , 851–861 (2006)

• [6] N. Hussain, V. Berinde, Common fixed point theorem for $C_q$-commuting mappings in certain metrizable topological vector spaces, Fixed point Theorey and applications, article ID 23582, 552 (2006), 1-13

• [7] G. Kothe, Topological Vector Spaces, Springer verlag, New York (1969)

• [8] H. Shojaei, R. Mortezaei , common fixed point for affine self-maps invariant approximation in p- normed space, J. Math. Computer Sci., 6 (2013), - 201

• [9] H. Shojaei, K. Banaei, N. Shojaei, , J. Math. Computer Sci., 6 (2013), 118-128

• [10] H. Shojaei, R. Mortezaei, , j. Math. . Computer Sci., 6 (2013), 201-209

• [11] J. Schu, Iterative approximation of fixed points of nonexpansive mappings with starshaped domain, Comment.Math Univ.Carolin, 31(2) (1990), 277-282

• [12] J. Schu, , Proc. Amer. Math. Soc., 112(1) (1991), 143-151

• [13] N. Shahzad, Invariant approximations, generalized I-contractions, and R-subweakly commuting maps, Fixed Point Theory and Applications, (2005), 79-86