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Common fixed point results for non-compatible R-weakly commuting mappings in probabilistic semimetric spaces using control functions

Krishnapada Das
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2019.09|한국수학논문집 (Korean Journal of Mathematics)|제27권 제3호|pp. 629-643

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참고문헌

키워드

Menger spacecompatible mapsphifixed point.($R$)-weakly commuting maps
주제분류수학

초록

In common fixed point problems in metric spaces several versions of weak commutativity have been considered. Mappings which are not compatible have also been discussed in common fixed point problems. Here we consider common fixed point problems of non-compatible and R-weakly commuting mappings in probabilistic semimetric spaces with the help of a control function. This work is in line with research in probabilistic fixed point theory using control functions. Further we support our results by examples.

Abstract

In common fixed point problems in metric spaces several versions of weak commutativity have been considered. Mappings which are not compatible have also been discussed in common fixed point problems. Here we consider common fixed point problems of non-compatible and R-weakly commuting mappings in probabilistic semimetric spaces with the help of a control function. This work is in line with research in probabilistic fixed point theory using control functions. Further we support our results by examples.

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