TY - JOUR AU - Roshan, Jamal Rezaei AU - Parvaneh, Vahid AU - Kadelburg, Zoran PY - 2014 TI - Common fixed point theorems for weakly isotone increasing mappings in ordered b-metric spaces JO - Journal of Nonlinear Sciences and Applications SP - 229--245 VL - 7 IS - 4 AB - The aim of this paper is to present some common fixed point theorems for g-weakly isotone increasing mappings satisfying a generalized contractive type condition under a continuous function in the framework of ordered b-metric spaces. Our results extend the results of Nashine et al. [H. K. Nashine, B. Samet, C. Vetro, Monotone generalized nonlinear contractions and fixed point theorems in ordered metric spaces, Math. Comput. Modelling 54 (2011) 712-720] from the context of ordered metric spaces to the setting of ordered b-metric spaces. Moreover, some examples of applications of the main result are given. Finally, we establish an existence theorem for a solution of an integral equation. SN - ISSN 2008-1901 UR - http://dx.doi.org/10.22436/jnsa.007.04.01 DO - 10.22436/jnsa.007.04.01 ID - Roshan2014 ER -