scholarly journals Common fixed point theorems for a finite family of multivalued mappings in an ordered Banach space

2018 ◽  
Vol 2018 (1) ◽  
Author(s):  
Mohamed Amine Farid ◽  
Karim Chaira ◽  
El Miloudi Marhrani ◽  
Mohamed Aamri
2003 ◽  
Vol 16 (3) ◽  
pp. 243-248 ◽  
Author(s):  
B. C. Dhage ◽  
Donal O'Regan ◽  
Ravi P. Agarwal

In this paper some common fixed point theorems for a pair of multivalued weakly isotone mappings on an ordered Banach space are proved.


2012 ◽  
Vol 2012 ◽  
pp. 1-15 ◽  
Author(s):  
Ravi P. Agarwal ◽  
Nawab Hussain ◽  
Mohamed-Aziz Taoudi

We present some new common fixed point theorems for a pair of nonlinear mappings defined on an ordered Banach space. Our results extend several earlier works. An application is given to show the usefulness and the applicability of the obtained results.


2018 ◽  
Vol 7 (3) ◽  
pp. 51
Author(s):  
KUMAR DAS APURVA ◽  
DHAR DIWAN SHAILESH ◽  
JAIN SWATI ◽  
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...  

Author(s):  
A. R. Khan ◽  
F. Akbar ◽  
N. Sultana ◽  
N. Hussain

The main purpose of this paper is to prove some new coincidence and common fixed point theorems for noncommuting generalizedf-nonexpansive multivalued mappings on non-starshaped domain in the framework of a Banach space. As applications, related common fixed point, invariant approximation, and random coincidence point results are established. This work provides extension as well as substantial improvement of several results in the existing literature.


Mathematics ◽  
2019 ◽  
Vol 7 (8) ◽  
pp. 754 ◽  
Author(s):  
Reny George ◽  
Hossam A Nabwey ◽  
Rajagopalan Ramaswamy ◽  
Stojan Radenović

We have introduced the new notions of R-weakly graph preserving and R-weakly α -admissible pair of multivalued mappings which includes the class of graph preserving mappings, weak graph preserving mappings as well as α -admissible mappings of type S, α * -admissible mappings of type S and α * - orbital admissible mappings of type S respectively. Some generalized contraction and rational contraction classes are also introduced for a pair of multivalued mappings and common fixed point theorems are proved in a b-metric space endowed with a graph. We have also applied our results to obtain common fixed point theorems for R-weakly α -admissible pair of multivalued mappings in a b-metric space which are the proper extension and generalization of many known results. Proper examples are provided in support of our results. Our main results and its consequences improve, generalize and extend many known fixed point results existing in literature.


Axioms ◽  
2019 ◽  
Vol 8 (3) ◽  
pp. 99
Author(s):  
Ram Daripally ◽  
Naveen Gajula ◽  
Hüseyin Işık ◽  
Srinuvasa Bagathi ◽  
Adi Gorantla

In this paper, we establish some results on coincidence point and common fixed point theorems for a hybrid pair of single valued and multivalued mappings in complete C * -algebra valued fuzzy soft metric spaces. In addition, we provided some coupled fixed point theorems. Finally, we have given examples which support our main results.


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