GENERALIZED RATIONAL CONTRACTIONS ENDOWED WITH A GRAPH AND AN APPLICATION TO A SYSTEM OF INTEGRAL EQUATIONS

Isik H., Hussain N., Kutbi M. A.

JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, cilt.22, sa.6, ss.1158-1175, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 22 Sayı: 6
  • Basım Tarihi: 2017
  • Dergi Adı: JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1158-1175
  • Gazi Üniversitesi Adresli: Evet

Özet

In the present paper, we introduce the notion of generalized rational contraction including admissible mappings and establish coincidence point and common fixed point results for this class of mappings defined on ordinary as well as ordered metric spaces. Our results extend, generalize and unify comparable results in the existing literature. Applying these results, we deduce fixed point results on metric spaces endowed with graph. An example and application to obtain the existence of common solution for a system of integral equations are also given in order to illustrate the effectiveness of the offered results.