Common fixed point theorems for variants of R-weakly commuting mappings in topologically complete tychonoff (uniform) spaces

• Autorzy: Kohli J. K. , Kumar D.
• Języki publikacji: EN

Abstrakty

EN

Three variants of R-weakly commuting mappings in the realm of uniform spaces are defined. Examples are included to reflect upon the distinctiveness of the notions so defined. Common fixed point theorems concerning these variants of R-weakly commuting mappings in the framework of uniform spaces are obtained. This generalizes several known results in the literature including those of Granas and Dugundji [3], Tarafdar [12] and others. Moreover, as a bi-product we obtain several common fixed point theorems which are well in contrast with a common fixed point theorem of Jungck [4] who proved the same for commuting mappings.

Słowa kluczowe

EN

common fixed point; R-weakly commuting mappings; Cauchy filter; contraction mapping; complete uniform space

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2012
• Tom: Vol. 45, nr 1
• Strony: 169--178
• Opis fizyczny: Bibliogr. 19 poz.

Twórcy

autor

Kohli J. K.

autor

Kumar D.

• Department Of Mathematics Hindu College, University Of Delhi Delhi 110007, India,

Bibliografia

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