EMIS ELibM Electronic Journals Publications de l’Institut Mathématique, Nouvelle Série
Vol. 101[115], pp. 197–204 (2017)

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A NEW PERSPECTIVE FOR MULTIVALUED WEAKLY PICARD OPERATORS

Gonca Durmaz, Ishak Altun

Department of Mathematics, Faculty of Science, Çankırı Karatekin University, Çankırı, Turkey; King Saud University, College of Science, Riyadh, Saudi Arabia; Department of Mathematics, Faculty of Science and Arts, Kirikkale University, Kirikkale, Turkey

Abstract: This research contains some recent developments about multivalued weakly Picard operators on complete metric spaces. In addition, taking into account both multivalued θ-contraction and almost contraction on complete metric spaces, we present a new perspective for multivalued weakly Picard operators. Finally, we give a nontrivial example showing that the investigation of this paper is significant.

Keywords: fixed point; weakly Picard operator; multivalued almost contraction; multivalued almost θ-contraction

Classification (MSC2000): 47H10; 54H25

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