A COMMON FIXED POINT THEOREM FOR WEAKLY COMPATIBLE MAPPINGS IN SYMMETRIC SPACES SATISFYING AN IMPLICIT RELATION

Turkoglu D., ALTUN İ.

BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, cilt.13, sa.1, ss.195-205, 2007 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 13 Sayı: 1
  • Basım Tarihi: 2007
  • Dergi Adı: BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.195-205
  • Anahtar Kelimeler: common fixed point, weakly compatible mappings, symmetric space, implicit relation
  • Gazi Üniversitesi Adresli: Evet

Özet

In this paper, we prove a common fixed point theorem for weakly compatible mappings in symmetric spaces satisfying an implicit relation and a fixed point thorems under strict contractive conditions, J. Math. Anal. Appl. 270 (2002) 181-188]. Our theorem generalizes Theorem 1 of [A. Aliouche, A common fixed point theorem for weakly compatible mappings in symmetric spaces satisfying a contractive condition of integral type Theorem 2.2 of [M. Aamri, D. El Moutawakil, Common fixed points under contractive conditions in symmetric spaces, Appl. Math. E-Notes 3 (2003) 156-162] and Theorem 2 of [M. Aamri, D. El Moutawakil, Some new common fixed point thorems under strict contractive conditions, J. Math. Anal. Appl. 270 (2002) 181-188].