Fixed Point of Cyclic Contraction Mappings in Banach Spaces Via $C$-Class Function


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Authors

  • Arslan Hojat Ansari Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran
  • R. Krishnakumar PG and Research Department of Mathematics, Urumu Dhanalakshmi College, Trichy, Tamil Nadu, India
  • K. Dinesh PG and Research Department of Mathematics, Urumu Dhanalakshmi College, Trichy, Tamil Nadu, India
  • D. Dhamodharan Department of Mathematics, Jamal Mohamed College (Autonomous), Trichy, Tamil Nadu, India

Keywords:

Fixed Point, Contractive Mapping, Cyclic Contraction, Banach spaces, C-class function

Abstract

In this paper, we discuss some fixed point theorems for cyclic mapping with contractive and non-expansive condition and $\varphi-\psi-$ contractive mappings in Banach space and analogous to the results presented in the literature.

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Published

15-03-2018

How to Cite

Arslan Hojat Ansari, R. Krishnakumar, K. Dinesh, & D. Dhamodharan. (2018). Fixed Point of Cyclic Contraction Mappings in Banach Spaces Via $C$-Class Function. International Journal of Mathematics And Its Applications, 6(1 - E), 1085–1092. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/1210

Issue

Section

Research Article