Pentagonal Cone b-metric Spaces over Banach Algebras and Fixed Point Theorem of Generalized Lipschitz Mapping

Abba Auwalu, T. Mekkaoui, H.M. Baskonus, Z. Hammouch, S. Agoujil, A. Atangana, C. Cattani, H. Bulut
2018 ITM Web of Conferences  
In this paper, we introduce the concept of pentagonal cone b-metric space over Banach algebras as a generalization of cone metric space over Banach algebras and many of its generalizations. Furthermore, we prove Banach fixed point theorem in such a space. Our result unify, complement and/or generalized some recent results in the papers [1] [2] [3] [4] [5] [6] [7] , and many others. We provide some examples to elucidate the validity and superiority of our results. *
doi:10.1051/itmconf/20182201003 fatcat:67rgaqvqevfabhxlno47xmcciq