Geodesic
A unified common fixed point theorem for a family of mappings
Filomat, Tome 35 (2021) no. 3, p. 759

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DOI

The main objective of the paper is to prove some unified common fixed point theorems for a family of mappings under a minimal set of sufficient conditions. Our results subsume and improve a host of common fixed point theorems for contractive type mappings available in the literature of the metric fixed point theory. Simultaneously, we provide some new answers in a general framework to the problem posed by Rhoades (Contemp Math 72, 233-245, 1988) regarding the existence of a contractive definition which is strong enough to generate a fixed point, but which does not force the mapping to be continuous at the fixed point. Concrete examples are also given to illustrate the applicability of our proved results
DOI : 10.2298/FIL2103759D
Keywords: Upper-semi continuity, fixed point, φ− contraction, ( ε− δ)−contraction 
Vijay Dalakoti; Ravindra K Bisht; R P Pant; Mahesh C Joshi. A unified common fixed point theorem for a family of mappings. Filomat, Tome 35 (2021) no. 3, p. 759 . doi: 10.2298/FIL2103759D
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     title = {A unified common fixed point theorem for a family of mappings},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2103759D/}
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