Some Fixed Point Theorems in Cone Banach Spaces Using $\Phi_p$ Operator


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Authors

  • R. Krishnakumar Department of Mathematics, Urumu Dhanalakshmi College, Tiruchirappalli, Tamilnadu, India
  • D. Dhamodharan Department of Mathematics, Jamal Mohamed College (Autonomous), Tiruchirappalli, Tamilnadu, India

Keywords:

Cone Banach Space, Fixed point, $\Phi_p$ operator

Abstract

In this paper, some contraction principles of Cone Banach Space(CBS) are stated and proved with the help of $\Phi_p$ operator and also some fixed point theorems related to the above concepts are studied.

 

Author Biographies

R. Krishnakumar, Department of Mathematics, Urumu Dhanalakshmi College, Tiruchirappalli, Tamilnadu, India

 

 

D. Dhamodharan, Department of Mathematics, Jamal Mohamed College (Autonomous), Tiruchirappalli, Tamilnadu, India

 

 

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Published

15-05-2016

How to Cite

R. Krishnakumar, & D. Dhamodharan. (2016). Some Fixed Point Theorems in Cone Banach Spaces Using $\Phi_p$ Operator. International Journal of Mathematics And Its Applications, 4(2 - B), 105–112. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/1031

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Section

Research Article