Some Results Regarding \(\varphi\) -maps on G-Cone Metric Spaces with Banach Algebra
Anil Kumar Mishra *
Department of Mathematics, Govt. V.Y.T.P.G. Auto. College, Durg, Chhattisgarh, India.
Padmavati
Department of Mathematics, Govt. V.Y.T.P.G. Auto. College, Durg, Chhattisgarh, India.
*Author to whom correspondence should be addressed.
Abstract
Aims/ objectives: In our study, we used generalized contraction mapping in G-cone metric space with Banach algebras to establish various fixed point and common fixed point results. Beg [1] defines this space in terms of a few contractive conditions on \(\varphi\) -maps. Our outcomes are a generalization and an extension of several well-known fixed point results.
Keywords: Banach algebras, common fixed point, G-cone metric spaces, generalized Lipschitz conditions