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New fixed point theorems for asymptotically regular multi-valued maps

✍ Scribed by S.L. Singh; S.N. Mishra; Rajendra Pant

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
387 KB
Volume
71
Category
Article
ISSN
0362-546X

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✦ Synopsis

Recently, extending Ćirić's quasi-contraction to a very general setting, Proinov [Petko D. Proinov, Fixed point theorems in metric spaces, Nonlinear Anal. 64 (2006) 546-557] obtained a remarkable fixed point theorem. We utilize Proinov's contractive type hypotheses for a self-map of a metric space to obtain very general fixed point theorems for multi-valued maps in metric spaces.

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