Some Fixed Point Theorems Via Combination of Weak Contraction and Caristi Contractive Mapping

• Autorzy: Kushal Roy , Sayantan Panja , Mantu Saha , Zoran Dmitrović
• Języki publikacji: EN

Abstrakty

EN

In this paper we introduce some new types of contractive mappings by combining Caristi contraction, Ćirić-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 φ-diminishing property. Some examples are given in strengthening the hypothesis of our established theorems.(original abstract)

Słowa kluczowe

EN

Mathematics; Functions

PL

Matematyka; Funkcje

• Czasopismo: Annales Mathematicae Silesianae
• Rocznik: 2021
• Tom: 35 (2)
• Strony: 289--301

Twórcy

autor

Kushal Roy

• The University of Burdwan Purba Bardhaman, West Bengal, India

autor

Sayantan Panja

• The University of Burdwan Purba Bardhaman, West Bengal, India

autor

Mantu Saha

• The University of Burdwan Purba Bardhaman, West Bengal, India

autor

Zoran Dmitrović

• University of Banja Luka, Banja Luka Bosnia and Herzegovina

Bibliografia

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• Caristi J., Fixed point theorems for mappings satisfying inwardness conditions, Trans. Amer. Math. Soc. 215 (1976), 241-251.
• Ćirić L.B., Generalized contractions and fixed-point theorems, Publ. Inst. Math. (Beograd) (N.S.) 12(26) (1971), 19-26.
• Ćirić L.B., A generalization of Banach's contraction principle, Proc. Amer. Math. Soc. 45 (1974), 267-273.
• Jeong G.S. and B.E. Rhoades, Maps for which F(T) = F(Tn), in: Y.J. Cho et al. (eds.), Fixed Point Theory and Applications, 6, Nova Sci. Publ., New York, 2007, pp. 71-104.
• Karapınar E., Khojasteh F., and Mitrović Z.D., A proposal for revisiting Banach and Caristi type theorems in b-metric spaces, Mathematics 7 (2019), no. 4, 308, 4 pp. DOI:10.3390/math7040308.
• Karapınar E., Khojasteh F., and Shatanawi W., Revisiting Ćirić-type contraction with Caristi's approach, Symmetry 11 (2019), no. 6, 726, 7 pp. DOI:10.3390/sym11060726.
• Roy K. and Saha M., Fixed point theorems for generalized contractive and expansive type mappings over a C∗-algebra valued metric space, Sci. Stud. Res. Ser. Math. Inform. 28 (2018), no. 1, 115-129.
• Roy K. and Saha M., Fixed point theorems for a pair of generalized contractive map- pings over a metric space with an application to homotopy, Acta Univ. Apulensis Math. Inform. 60 (2019), 1-17.

Identyfikatory

DOI

10.2478/amsil-2021-0003