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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

Issue:

SSRSMI, Number 2, Volume XXIII

Section:

Volume 23, Number 2

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.

Code [ID]:

SSRSMI20130223V23S01A0001 [0004048]

Full paper:

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