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In this paper we shall introduced the class of $d-CS$ spaces and so we shallobtained topological approach to large Kasahara spaces. This class includecomplete symmetric spaces, complete quasi $b$-metric spaces and complete$b$-spaces, but not include $d^*$-complete topological spaces and $d$-completetopological spaces. Further will be presented fixed theorem for nonlinearextended-contraction defined on this spaces, which generalize earlier resultsobtaned by Browder, Matkowski, Jachymski, Matkowski and \'Swiatkowski,Aran{\dj}elovi\'{c} and Ke\v{c}ki\'{c} and Alshehri, Aran{\dj}elovi\'c andShahzad. Also, we obtain the fixed point theorem for nonlinearextended-contraction defined on quasi-metric spaces which extended recentresult's of Pasicki, obtained for pseudo-metric spaces.

Some fixed points results for extended nonlinear contractions defined on $d-CS$ spaces