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Zbl 1215.54026
Sintunavarat, W.; Kumam, P.
Gregus-type common fixed point theorems for tangential multivalued mappings of integral type in metric spaces. (English)
[J] Int. J. Math. Math. Sci. 2011, Article ID 923458, 12 p. (2011). ISSN 0161-1712; ISSN 1687-0425/e

Summary: The concept of tangential for single-valued mappings is extended to multivalued mappings and used to prove the existence of a common fixed point theorem of Gregus type for four mappings satisfying a strict general contractive condition of integral type. Consequently, several known fixed point results are generalized and improved as the corresponding recent results of {\it H. K. Pathak} and {\it N. Shahzad} [Bull. Belg. Math. Soc. - Simon Stevin 16, No.~2, 277--288 (2009; Zbl 1167.54016)] and many authors.

MSC 2000:: *54H25 Fixed-point theorems in topological spaces

Citations: Zbl 1167.54016

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Zentralblatt MATH Berlin [Germany]