alexa COMMON FIXED POINT THEOREMS FOR SIX SELF MAPS UNDER SUB COMPATIBLE AND SUB SEQUENTIALLY CONTINUOUS MAPS IN FUZZY METRIC SPACES BY USING IMPLICIT RELATION
ISSN ONLINE(2319-8753)PRINT(2347-6710)

International Journal of Innovative Research in Science, Engineering and Technology
Open Access

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Research Article

COMMON FIXED POINT THEOREMS FOR SIX SELF MAPS UNDER SUB COMPATIBLE AND SUB SEQUENTIALLY CONTINUOUS MAPS IN FUZZY METRIC SPACES BY USING IMPLICIT RELATION

M. Rangamma 2 , G. Mallikarjun Reddy1 , P. Srikanth Rao 3
  1. Assistant professor, Department of Mathematics, CVR Engineering College, Ibrahimpatan, Hyderabad, India
  2. Professor, Department of Mathematics, O.U., Hyderabad, India
  3. Professor, Department of Mathematics, B.V.Raju Engineering College, Narsapur, Hyderabad, India
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Abstract

The purpose of this paper is to prove common fixed point theorems for the new concepts of sub compatibility and sub sequential continuity in fuzzy metric spaces using Implicit Relation for six self mappings which are weaker than occasionally weak compatibility and reciprocal continuity. In general all known results on commuting, weakly commuting, compatible, weak compatible, semi compatible and occasionally weak compatible maps in fuzzy metric spaces are generalized in this note.

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