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Abstrakty
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)
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autor
- The University of Burdwan Purba Bardhaman, West Bengal, India
autor
- The University of Burdwan Purba Bardhaman, West Bengal, India
autor
- The University of Burdwan Purba Bardhaman, West Bengal, India
autor
- University of Banja Luka, Banja Luka Bosnia and Herzegovina
Bibliografia
- Banach S., Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales, Fund. Math. 3 (1922), 133-181.
- Berinde V., Approximating fixed points of weak contractions using the Picard iteration, Nonlinear Anal. Forum 9 (2004), no. 1, 43-53.
- 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.
Typ dokumentu
Bibliografia
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Identyfikator YADDA
bwmeta1.element.ekon-element-000171629160