Some fixed point theorems via combination of weak contraction and Caristi contractive mapping
Abstract
In this paper we introduce some new types of contractive mappings by combining Caristi contraction, Ciric-quasi contraction and weak contraction in the framework of a metric space. We prove some fixed point theorems for such type of mappings over complete metric spaces with the help of '-diminishing property. Some examples are given in strengthening the hypothesis of our established theorems.
Keywords
fixed point; metric space; orbital Banach–Caristi contractive map; weak Banach–Caristi contractive map; weak Ćirić–Caristi contractive map
References
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Department of Mathematics, The University of Burdwan, India India
Department of Mathematics, The University of Burdwan, India India
https://orcid.org/0000-0002-4404-131X
Department of Mathematics, The University of Burdwan, India India
University of Banja Luka, Faculty of Electrical Engineering, Bosnia and Herzegovina Bosnia and Herzegovina
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