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

Demonstratio mathematica

article

J. K. Kohli¹  Durgesh Kumar² 

[1] Department of Mathematics, Hindu College, University of Delhi;Department of Mathematics, Motilal Nehru College, University of Delhi

关键词: common fixed point;    R-weakly commuting mappings;    R-weakly commuting mappings of type (Ag) (or type (Af);    or type (Afg));    Cauchy filter;    contraction mapping;    complete uniform space;   

DOI  :  10.1515/dema-2013-0355

学科分类：外科医学

来源: De Gruyter

【 摘 要 】

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.

【 授权许可】

CC BY