Two new generalizations for F-contraction on closed ball and fixed point theorems with application

Authors

  • Eskandar Ameer Department of Mathematics, Taiz University, Taiz, Yemen
  • Muhammad Arshad International Islamic university. Department of mathematics and Statistics H-10 Islamabad Pakistan

DOI:

https://doi.org/10.30495/jme.v11i0.530

Abstract

We introduce the notion of modified Hardy-Rogers type F-contraction on closed ball, F-multiplicative contraction on closed ball and obtain some new fixed point results for such contractions. Some comparative examples are constructed to illustrate these results. The existence of the solution of family of Volterra type integral equations is shown via fixed point methods.

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Published

2017-08-02

Issue

Vol. 11

Section

Vol. 11, No. 3, (2017)

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