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

Journal of Linear and Topological Algebra

دوره 12، شماره 03، دی 2023، صفحه 201-209   

نوع مقاله: Research Paper

شناسه دیجیتال (DOI): 10.30495/jlta.2023.707067

نویسندگان

S Yahaya^{* 1}؛ M. S. Shagari²؛ A. T. Imam²

¹Department of Mathematics and Statistics‎, ‎American University of Nigeria‎, ‎PMB 2250‎, ‎Yola‎, ‎Nigeria

²Department of Mathematics‎, ‎Faculty of Physical Sciences‎, ‎Ahmadu Bello University‎, ‎Zaria‎, ‎Nigeria

چکیده

‎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.

کلیدواژه‌ها

Fixed point‎؛ ‎\'{C}iri\'{c} contraction‎؛ ‎Caristi contraction‎؛ ‎multivalued mapping‎؛ ‎metric space

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