Fixed points of \'{C}iri\'{c} and Caristi-type multivalued contractions

الموضوعات :

S Yahaya ¹ (Department of Mathematics and Statistics, American University of Nigeria, PMB 2250, Yola, Nigeria)
M. S. Shagari ² (Department of Mathematics, Faculty of Physical Sciences, Ahmadu Bello University, Zaria, Nigeria)
A. T. Imam ³ (Department of Mathematics, Faculty of Physical Sciences, Ahmadu Bello University, Zaria, Nigeria)

تاريخ الإرسال : 11 الأحد , صفر, 1445 تاريخ التأكيد : 28 الجمعة , ربيع الأول, 1445 تاريخ الإصدار : 16 الأحد , ربيع الأول, 1445

الکلمات المفتاحية: Fixed point‎, ‎Caristi contraction‎, ‎multivalued mapping‎, ‎metric space, ‎\'{C}iri\'{c} contraction‎,

ملخص المقالة :

‎The aim of this paper is to introduce the concept of multi-valued contraction that combine a renowned \'{C}iri\'{c}-type contraction and Caristi-type contractions in the framework of metric spaces‎. ‎The existence of fixed points for such contractions equipped with some suitable hypotheses are proved and some analogues of the fixed point theorems presented herein are deduced as corollaries‎. ‎Moreover‎, ‎an example is given to illustrate the validity of obtained main result‎.

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