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Volume 20 (2024)
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JP Journal of Fixed Point Theory and Applications
JP Journal of Fixed Point Theory and Applications
Volume 3, Issue 2, Pages 105 - 122 (August 2008)
COMMON FIXED POINT THEOREMS FOR SINGLE AND SET-VALUED
D
-
MAPS
H. Bouhadjera (Algérie), A. Djoudi (Algérie ) and Brian Fisher (U. K.)
Abstract:
The authors state and prove a common fixed point theorem for two pairs of weakly compatible
D
-maps satisfying an implicit relation in a metric space. This result generalizes and extends results of Aliouche [1], Aliouche and Djoudi [2] and others to the setting of single and set-valued maps. Also, another common foxed point theorem for four weakly compatible
D
-maps of Greguš type is obtained which unifies, improves, extends and complements the results of Djoudi ans Nisse [4] and references therein.
Keywords and phrases:
compatible maps,
d
-compatible maps, weakly compatible maps,
D
-maps, implicit relation, metric space, common fixed point theorems, Greguš type.
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