Geraghty and Ćirić type fixed point theorems in b-metric spaces


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


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