Fixed Point and Common Fixed Point Results of \(D_F\)-Contractions via Measure of Non-compactness with Applications

Authors

  • Asmat Ullah Department of Mathematics and Statistics, International Islamic University, Islamabad
  • Israr Ali Khan Department of Electrical Engineering, Namal College Mianwali, Talagang Road, Mianwali 42250
  • Nayyar Mehmood Department of Mathematics and Statistics, International Islamic University, Islamabad

DOI:

https://doi.org/10.26713/cma.v9i1.926

Keywords:

\(D_F\)-contraction, Fixed point, Common fixed points, Measure of non-compactness

Abstract

In this paper, we study a new contraction mapping inspired by the concept of \(F\)-contraction, which was recently introduced by Wardowski [20]. We find common fixed points for a sequence of mappings by introducing \(D_F\)-contractive operators in Banach space using the concept of measure of
non-compactness. As an application, we prove some results on the existence of solutions for a system of an infinite fractional order differential equations in the space \(c\), where space \(c\) consists of real sequences having the finite limits.

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References

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Published

30-04-2018
CITATION

How to Cite

Ullah, A., Khan, I. A., & Mehmood, N. (2018). Fixed Point and Common Fixed Point Results of \(D_F\)-Contractions via Measure of Non-compactness with Applications. Communications in Mathematics and Applications, 9(1), 53–62. https://doi.org/10.26713/cma.v9i1.926

Issue

Vol. 9 No. 1 (2018)

Section

Research Article

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