Geraghty and Ćirić type fixed point theorems in b-metric spaces
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Authors
Rajendra Pant
- Department of Mathematics, Visvesvaraya National Institute of Technology, Nagpur 440010, India.
R. Panicker
- Department of Mathematical Sciences and Computing, Walter Sisulu University, Mthatha 5117, South Africa.
Abstract
In this paper, we obtain some بهxed point theorems for admissible mappings in b-metric spaces. Some
useful examples are given to illustrate the facts. We also discuss an application to a nonlinear quadratic
integral equation. Our results complement, extend and generalize a number of بهxed point theorems including
the well-known Geraghty [M. A. Geraghty, Proc. Amer. Math. Soc., 40 (1973), 604-608] and Ćirić[L.
B. Ćirić, Proc. Amer. Math. Soc., 45 (1974), 267-273] theorems on b-metric spaces.
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ISRP Style
Rajendra Pant, R. Panicker, Geraghty and Ćirić type fixed point theorems in b-metric spaces, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 11, 5741--5755
AMA Style
Pant Rajendra, Panicker R., Geraghty and Ćirić type fixed point theorems in b-metric spaces. J. Nonlinear Sci. Appl. (2016); 9(11):5741--5755
Chicago/Turabian Style
Pant, Rajendra, Panicker, R.. "Geraghty and Ćirić type fixed point theorems in b-metric spaces." Journal of Nonlinear Sciences and Applications, 9, no. 11 (2016): 5741--5755
Keywords
- Fixed point
- b-metric spaces
- generalized \(\alpha\)-quasi-contraction
- (\(\alpha،\beta\))- Geraghty type contractive mapping
MSC
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