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In this paper, we establish the existence of a fixed point for generalized nonexpansive multivalued mappings in hyperbolic spaces and we prove some [Formula: see text]-convergence and strong convergence theorems for the iterative scheme proposed by Chang et al. (Appl Math Comp 249:535-540, 2014) to approximate a fixed point for generalized nonexpansive multivalued mapping under suitable conditions. Our results are the extension and improvements of the recent well-known results announced in the current literature.

Adenoid hypertrophy is a normal phenomenon seen in young children. Adenoids may however be of large size or may not reduce in size in adulthood. Large adenoids may cause mouth breathing, overcrowding of teeth or otological symptoms. When adenoids are large and producing these effects, adenoidectomy is necessary. Adenoidectomy immensely benefits such patients but they may still continue to be habitual mouth breathers. This can lead to formation of long narrow face, labially protruded maxillary incisors and class 2 malocclusion. Immediate orthodontic treatment of such patients will improve facial profile and lead to class 1 (Angle) occlusion. We present here a study of 20 patients who were given early orthodontic treatment in postadenoidectomy period as compared to those patients who were not treated by orthodontist.