Fixed Point Theorems for Weakly Generalized $w$-Contraction Mappings and Applications


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Authors

  • M. Menaka Department of Mathematics, Bharathidasan University, Tiruchirappalli, Tamil Nadu, India
  • M. Marudai Department of Mathematics, Bharathidasan University, Tiruchirappalli, Tamil Nadu, India

Keywords:

Fixed point, $w$-distances, Contraction mappings

Abstract

In this paper, we prove fixed point theorems for weakly generalized $w$-contraction mappings in the setting of $w$-distances which generalize results of Wongyat and Sintunavarat [16]. As an application, we obtain the existence and uniqueness solutions for nonlinear Fredholm and Volterra integral equations.

 

Author Biographies

M. Menaka, Department of Mathematics, Bharathidasan University, Tiruchirappalli, Tamil Nadu, India

 

 

M. Marudai, Department of Mathematics, Bharathidasan University, Tiruchirappalli, Tamil Nadu, India

 

 

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Published

15-02-2018

How to Cite

M. Menaka, & M. Marudai. (2018). Fixed Point Theorems for Weakly Generalized $w$-Contraction Mappings and Applications. International Journal of Mathematics And Its Applications, 6(1 - C), 471–481. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/1091

Issue

Vol. 6 No. 1 - C (2018)

Section

Research Article

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