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  1. Acasă
  2. Scientific Studies and Research. Series Mathematics and Informatics
  3. Volume 23, No. 2 (2013)
  4. 4048

A GENERAL COMMON FIXED POINT THEOREM FOR WEAKLY COMMUTING PAIRS OF TYPE (KB)

ABDELKRIM ALIOUCHE(1) and VALERIU POPA(2)

1. Department of Mathematics, University of Larbi Ben M' Hidi, Oum-El-Bouaghi 04000, ALGERIA, alioumath@yahoo.fr
2. "Vasile Alecsandri" University of Bacău, Calea Mărăşeşti 157, Bacău 600115, ROMANIA
vpopa@ub.ro

Abstract

We prove a general coincidence and a common fixed point theorem for two pairs of hybrid mappings satisfying an implicit relation using the concept of weak commutativity of type (KB) which generalizes Theorem 2 of S. Sharma and D. Bhavana, Common fixed point theorem for hybrid pairs of mappings with some weak conditions, Fasc. Math. 39(2008), Theorem 3 of I. Kubiaczyk and D. Bhavana, Noncompatibility, Discontinuity in Consideration of Common Fixed Point of Set and Single Valued Maps, Southeast Asian Bull. Math. 32 (2008) and a theorem of M. A. Ahmed, Common fixed point theorems for set valued and single valued mappings, Demonstr. Math. 36(2)(2003).

Keywords

Coincidence point common fixed point commutativity of type (KB) implicit relation.
Full article (PDF)

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