An extension of Lakzian-Rhoades results in the structure of ordered b-metric spaces via wt-distance with an application

On Existence of Fixed Points for Multivalued Generalized wb‐Contractive Mappings and Applications

“…Recently, fixed-point theory for metric-type spaces studied and developed by many authors, for example, see [5,7,28,32] and references therein.…”

“…In general, w b -distance is not symmetric, see [25]. In fact, the class of w b -distances is much larger than the class of w-distance, see [28]. Every b-metric is w b -distance [25], but the converse is not true, see [28].…”

“…Recently, some interesting results appeared in metric fixed-point theory with respect to w b -distance on metrictype spaces; for example, see [25][26][27][28] and references therein.…”

“…In [25], Hussain et al defined w-distance on metric-type spaces called wt-distance (here, we call it w b -distance), and they proved fixed-point and common fixed-point results for single-valued mappings with respect to w b -distance. A number of articles with applications on this topic can also be found in [26][27][28][29] and references therein.…”