Existence of solutions of integral equations via fixed point theorems


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GÜLYAZ S. , ERHAN İ.

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume:
  • Publication Date: 2014
  • Doi Number: 10.1186/1029-242x-2014-138
  • Title of Journal : JOURNAL OF INEQUALITIES AND APPLICATIONS

Abstract

Existence and uniqueness of fixed points of a mapping defined on partially ordered G-metric spaces is discussed. The mapping satisfies contractive conditions based on certain classes of functions. The results are applied to the problems involving contractive conditions of integral type and to a particular type of initial value problems for the nonhomogeneous heat equation in one dimension. This work is a generalization of the results published recently in (Gordji et al. in Fixed Point Theory Appl. 2012:74, 2012, doi:10.1186/1687-1812-2012-74) to G-metric space.