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(DS)-WEAK COMMUTATIVITY CONDITION AND COMMON FIXED POINT IN INTUITIONISTIC MENGER SPACES

Bhavana Deshpande|Suresh Chouhan|Sushil Sharma
한국수학교육학회|2011.08|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제18권 제3호|pp. 201-217

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참고문헌

키워드

common fixed pointintutionistic Menger space(DS)-weak commutativ-ityIM-strongly bounded set.
주제분류수학

초록

The aim of this paper is to de¯ne a new commutativity condition for a pair of self mappings i.e., (DS)-weak commutativity condition, which is weaker that compatibility of mappings in the settings of intuitionistic Menger spaces. We show that a common ¯xed point theorem can be proved for nonlinear contractive condition in intuitionistic Menger spaces without assuming continuity of any mapping. To prove the result we use (DS)-weak commutativity condition for mappings. We also give examples to validate our results.

Abstract

The aim of this paper is to de¯ne a new commutativity condition for a pair of self mappings i.e., (DS)-weak commutativity condition, which is weaker that compatibility of mappings in the settings of intuitionistic Menger spaces. We show that a common ¯xed point theorem can be proved for nonlinear contractive condition in intuitionistic Menger spaces without assuming continuity of any mapping. To prove the result we use (DS)-weak commutativity condition for mappings. We also give examples to validate our results.

참고문헌 (49)

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