Weak \(\theta-\phi-\)contraction and discontinuity
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Authors
Dingwei Zheng
- College of Mathematics and Information Science, Guangxi University, Nanning, Guangxi 530004, P. R. China.
Pei Wang
- School of Mathematics and Information Science, Yulin Normal University, Yulin, Guangxi 537000, P. R. China.
Abstract
In this paper, we introduce the notion of weak \(\theta-\phi-\)contraction ensuring a convergence of successive approximations but
does not force the mapping to be continuous at the fixed point. Thus, we answer one more solution to the open question raised
by Rhoades in [B. E. Rhoades, Fixed point theory Appl, Berkeley, CA, (1986), Contemp. Math., Amer. Math. Soc., Providence,
RI, 72 (1988), 233–245].
Share and Cite
ISRP Style
Dingwei Zheng, Pei Wang, Weak \(\theta-\phi-\)contraction and discontinuity, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 5, 2318--2323
AMA Style
Zheng Dingwei, Wang Pei, Weak \(\theta-\phi-\)contraction and discontinuity. J. Nonlinear Sci. Appl. (2017); 10(5):2318--2323
Chicago/Turabian Style
Zheng, Dingwei, Wang, Pei. "Weak \(\theta-\phi-\)contraction and discontinuity." Journal of Nonlinear Sciences and Applications, 10, no. 5 (2017): 2318--2323
Keywords
- Fixed point
- discontinuity
- weak \(\theta-\phi-\)contraction.
MSC
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