International Journal of Mathematics Trends and Technology
Volume 53 | Number 4 | Year 2018 | Article Id. IJMTT-V53P538 | DOI : https://doi.org/10.14445/22315373/IJMTT-V53P538
Savita Rathee, Priyanka Gupta, Eena Gupta, "Common Fixed Point Theorems for Four Maps in d-Complete Topological Spaces," International Journal of Mathematics Trends and Technology (IJMTT), vol. 53, no. 4, pp. 301-303, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V53P538
The purpose of this paper is to prove some common fixed point theorems for four self maps satisfying contractive conditions in d-complete topological spaces using w-continuity. Our results are generalization and enhancement of the results of Cho and Lee and also of Hicks and Rhoades.
[1] Aggarwal, R. P., Regan, D. O. and Shahzad, N.: Fixed point theorems for generalized contractive maps of Mei-Keeler type, Math. Nachr, 276 (2004), 3-12.
[2] Cho, S. H. and Lee, J.H.: Fixed point theorems in d-complete topological spaces, J. Appl. Math. & Informatics, 28(2010), 1009-1015.
[3] Hicks, T. L. and Crisler, W. R.: A note on T1 topologies, Proc. Amer. Math. Soc, 46(1974 ), 94-96.
[4] Hicks, T. L.: Fixed point theorems for d-complete topological spaces I, Int. J. Math. and Math. Sci., 15 (1992), 435-440.
[5] Hicks, T. L. and Rhoades, B. E.: Fixed point theorems for d-complete topological spaces II, Math. Japonica, 37(1992), 847-853.
[6] Hicks, T. L. and Rhoades, B. E.: Fixed points for pairs of mappings in d-complete topological spaces, Int. J. Math. and Math. Sci, 16(2)(1993), 259-266.
[7] Iseki, K.: An approach to fixed point theorems, Math. Seminar Notes, 3(1975), 193-202.
[8] Kasahara, S.: On some generalizations of the Banach contraction theorem, Math. Seminar Notes, 3(1975), 161-169.
[9] Park, S.: Fixed points and periodic points of contractive pairs of maps, Proc. College of Nat. Sci., Seoul National Univ, 5(1980), 9-22.
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