fixed point results via l-contractions on quasi w-distances

The concept of a w-distance on a metric space has been introduced by kada et al. [22]. they generalized caristi fixed point theorem, ekeland variational principle and the nonconvex minimization theorem according to takahashi. in the present paper, we first introduce the notion of quasi w-distances in quasi-metric spaces, and then we will prove some fixed point theorems for l-contractive mappings in the class of quasi-metric spaces with w-distances via a control function introduced by jleli and samet [20]. these results generalize many fixed point theorems by kada et al. [22], suzuki [33], ciri´c [15], aydi et al. [6], abbas and rhoades [1], kannan [23], hicks and rhoades [19], du [16], lakzian et al. [26], lakzian and rhoades [30] and others. finally, some examples in support of the concepts and presented results are given.