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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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참고문헌 (30)
참고문헌 신청
C.T. Aage / 2017 / Some xed point results in fuzzy metric spaces using a control function / Surveys in Mathematics and its Applications 12:23~34
B.S. Choudhury / 2008 / A new contraction principle in Menger spaces / Acta Mathematica Sinica 24(8):1379~1386
B.S. Choudhury / 2008 / A fixed points result in Menger space using a real function / Acta. Math. Hungar 122:203~216
B.S. Choudhury / 2009 / A coincidence point result in Menger spaces using a control function / Chaos, Solitons and Fractals 42:3058~3063
B.S. Choudhury / 2013 / Coupled coincidence point results for compatible mappings in partially ordered fuzzy metric spaces / Fuzzy Sets and Systems 222:84~97
B.S. Choudhury / 2008 / A new contraction principle in Menger spaces / Acta Mathematica Sinica 24(8):1379~1386
B.S. Choudhury / 2008 / A fixed points result in Menger space using a real function / Acta. Math. Hungar 122:203~216
B.S. Choudhury / 2009 / A coincidence point result in Menger spaces using a control function / Chaos, Solitons and Fractals 42:3058~3063
B.S. Choudhury / 2013 / Coupled coincidence point results for compatible mappings in partially ordered fuzzy metric spaces / Fuzzy Sets and Systems 222:84~97
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