INTERNATIONAL RESEARCH JOURNAL OF SCIENCE ENGINEERING AND TECHNOLOGY

( Online- ISSN 2454 -3195 ) New DOI : 10.32804/RJSET

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SOME COMMON FIXED POINT FOR WEAKLY COMMUTING MAPPING

    1 Author(s):  C D BELE

Vol -  11, Issue- 2 ,         Page(s) : 87 - 90  (2021 ) DOI : https://doi.org/10.32804/RJSET

Abstract

Number of interesting results obtained by various authors by study of common fixed point of mappings satisfying some contractive type condition. Common fixed point is center of vigorous research activity and most of these results deal with commuting mappings. Concept of commuting mapping has useful for generalizing in the context of metric space for proving fixed point. Generalized theorem is a major research activity in fixed point theory and its applications.

[1] Das G. and J. P. Dabata, “A note on fixed points of commuting mappings of  contractive type” , India J.Math.27 (1985), 49-51
[2] Jungck  Gerald , “Commuting mappings and fixed points”, Amer Math.Monthly 83 (1976), 261-263 MR 53 # 4031.
[3] Jungck G.(1986) “ Compatible mapping and common fixed  points” Int.  Indian Math and Math Sci, vol. 9,  pp.  771-779.

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