Author:
Bouhadjera Hakima,Beloul Said,Tabet Achref
Abstract
In this contribution, three new concepts called reciprocally continuous, strictly subweakly compatible and strictly subreciprocally continuous single and multivalued mappings are given for obtention some common fixed point theorems in a metric space. Our results improve and complement the results of Aliouche and Popa, Azam and Beg, Deshpande and Pathak, Kaneko and Sessa, Popa and others.
Publisher
Centre for Evaluation in Education and Science (CEON/CEES)
Reference13 articles.
1. R. P. Agarwal, R. K. Bisht, N. Shahzad, A comparison of various noncommuting conditions in metric fixed point theory and their applications, Fixed Point Theory and Applications, 38 (2014), 1-33.;
2. A. Aliouche, V. Popa, Coincidence and common fixed point theorems for hybrid mappings, Mathematica Moravica, 12 (1) (2008), 1-13.;
3. A. Azam, I. Beg, Coincidence points of compatible multivalued mappings, Demonstratio Mathematica, 29 (1) (1996), 17-22.;
4. R. Deshpande, R. Pathak, Common fixed point theorems for hybrid pairs of mappings using implicit relations, Mathematica Moravica, 18 (1) (2014), 9-20.;
5. G. Jungck, Compatible mappings and common fixed points, International Journal of Mathematics and Mathematical Sciences, 9 (4) (1986), 771-779.;