New Fixed Point Results under Generalized C-Distance in tvs-Cone B-Metric Spaces with an Application to Systems of Fredholm Integral Equations

In this paper, we define a generalized c-distance in tvs-cone b-metric spaces and introduce some results about its properties. Then we prove some new fixed point and common fixed point results (with the underlying cone which is not normal). Respective results concerning mappings without periodic points are also deduced. Some examples are presented to validate our obtained results. An application to system of Fredholm integral equations is presented.