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In this section the notion of D α L distance is used to study coincidence theorems concerning L-fuzzy mappings.
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Jungck [3] studied coincidence and common fixed points of commuting mappings and improved the Banach contraction principle.
The birthday problem has also shed light on coincidences in daily life; see P. Diaconis and F. Mosteller, "Methods for studying coincidences," Journal of the American Statistical Association, Vol. 84, No. 408 (December 1989) pp. 853 861.
We started by studying coincidences.
Gogol obeyed, and at 3am on the night of 24 February 1852 he started feeding the pages of his manuscript into the fire of his Moscow study (by coincidence I am writing these words on the 160th anniversary of this deed).
We study Nielsen coincidence theory for maps between manifolds of same dimension regardless of orientation.
This section deals with the study of coincidence theorems in connection with the notion of d L ∞ -distance.
Very recently, this work has been extended by Berzig in [2] to study the coincidence and common fixed points.
The study of coincidence point and common fixed points of hybrid pair of mappings in Banach spaces and metric spaces is interesting and well developed.
Next, we shall study the coincidence point without considering the continuity of F p. However, we need to introduce the concept of monotone convergence given below.
Next, we shall study the coincidence point without considering the continuity of F p. However, we need to introduce the concept of mixed-monotone convergence given below.
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