TY - JOUR AU - Zheng, Dingwei AU - Wang, Pei PY - 2017 TI - Weak \(\theta-\phi-\)contraction and discontinuity JO - Journal of Nonlinear Sciences and Applications SP - 2318--2323 VL - 10 IS - 5 AB - 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]. SN - ISSN 2008-1901 UR - http://dx.doi.org/10.22436/jnsa.010.05.04 DO - 10.22436/jnsa.010.05.04 ID - Zheng2017 ER -