Title of article
Weak Ө-Φ contraction and discontinuity
Author/Authors
Zheng ، Dingwei - Guangxi University , Wang ، Pei - Yulin Normal University
Pages
6
From page
2318
To page
2323
Abstract
In this paper, we introduce the notion of weak Ө-Φ 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].
Keywords
Fixed point , discontinuity , weak Ө , Φ contraction
Journal title
Journal of Nonlinear Science and Applications
Serial Year
2017
Journal title
Journal of Nonlinear Science and Applications
Record number
2476554
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