논문KCI 등재
Compatible maps and common fixed points in Menger probabilistic metric spaces
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초록
In the present work, we introduce two types of compatible maps and prove a common fixed point theorem for such maps in Menger probabilistic metric spaces. Our result generalizes and extends many known results in metric spaces and fuzzy metric spaces.
Abstract
In the present work, we introduce two types of compatible maps and prove a common fixed point theorem for such maps in Menger probabilistic metric spaces. Our result generalizes and extends many known results in metric spaces and fuzzy metric spaces.
참고문헌 (4)
- Y. J. Cho, "Common fixed points of compatible maps of type (β) on fuzzy metric spaces", Fuzzy Sets and Systems, 93, pp.99~111 (1998)
- G. Constantin, "Elements of Probabilistic Analysis" (1989), Ed. Acad. Bucureşti and Kluwer Acad. Publ.
- O. Hadzic, "Common fixed point theorems for families of mapping in complete metric space", Math. Japon, 29, pp.127~134 (1984)
- T. L. Hicks, "Fixed point theory in probabilistic metric spaces", Rev. Res. Novi Sad, 13, pp.63~72 (1983)
관련 논문AI추천
Common fixed point of weakly compatible maps without continuity in menger spacesKhushal Devdhare, Meenakshi Rawal, Sushil Sharma영남수학회 · East Asian Mathematical Journal2011 · 제27권 제5호Common fixed point of compatible maps of type $(\gamma)$ on complete fuzzy metric spacesDuran Turkoglu, Nabi Shobe, Shaban Sedghi대한수학회 · 대한수학회논문집2009 · 제24권 제4호Some results on common best proximity point and common fixed point theorem in probabilistic Menger spaceHamid Shayanpour대한수학회 · 대한수학회지2016 · 제53권 제5호A common fixed point theorem for a sequence of maps in a generalized Menger spaceLal Bahdhur, Shishi Jain, Shobha Jain영남수학회 · East Asian Mathematical Journal2008 · 제24권 제4호Fixed points of generalized Kannan type mappings in generalized Menger spacesBinayak Samadder Choudhury, Krishnapada Das대한수학회 · 대한수학회논문집2009 · 제24권 제4호Variants of compatible mappings in fuzzy metric spacesBalbir Singh, Pawan Kumar, Z. K. Ansari기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2018 · 제15권 제2호
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