Fixed points of \'{C}iri\'{c} and Caristi-type multivalued contractions
محورهای موضوعی : Fixed point theory
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)
کلید واژه: Fixed point, Caristi contraction, multivalued mapping, metric space, \'{C}iri\'{c} contraction,
چکیده مقاله :
‎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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