New fixed point results for maps satisfying implicit relations on ordered metric spaces and application

作者：Nashine Hemant Kumar^*; Altun Ishak

来源：Applied Mathematics and Computation, 2014, 240: 259-272.

DOI：10.1016/j.amc.2014.04.073

• Fixed point
• Common fixed point
• Ordered metric space
• Implicit relation
• Weakly increasing maps
• Dominating map

We give some fixed point results for one and two mappings satisfying an implicit relation involving control function on ordered complete metric spaces. We furnish suitable examples to demonstrate the validity of the hypotheses of our results. We also give an application of our results to nonlinear Volterra integro-differential equations.

• 出版日期2014-8-1