In this work, we introduce weak Pata convex contractions and E -Pata via simulation functions in metric spaces to prove some fixed point results for such mappings. Also, consider an example related contractions. Consequently, our generalize unify the literature.

We consider 3-dimensional (3-D) mappings which are reversible, i.e. possess a time-reversal symmetry. In the mappings studied here, the reversibility is such that it guarantees the existence of one-parameter families (curves) of symmetric periodic orbits in the phase space. It is found that such curves can often intersect one another. In particular, a curve of n-cycles can intersect a curve of ...