A new result on Branciari metric space using (α, γ)-contractive mappings

Abstract

In this work, a new common fixed point result by generalized contractive functions fulfilling the type of admissibility condition in a Hausdorff Branciari metric space with the support of C-functions, was obtained.

On Generalized Caristi Type Satisfying Admissibility Mappings

“…Newly, Isik et al [5,6] presented a new generalization of the BCP with an application, likewise, Biahdillah and Surjanto [7] introduced an application of the BCP in complexvalued Branciari b-MS, also Jleli et al [8] researched further generalizations of the BCP, and on the other hand, Patil et al [9][10][11][12] utilized the contractive, generalized contractive, Hardy-Rogers contractive, and generalized nonexpansive mappings on diferent spaces to get some new FPTs with applications.…”

New Common Uniqueness Results on Generalized Normed Space

“…Banach [1] is the first developer of this study and presented it in its basic form by presenting the Banach contraction principle, which is considered the raw material for all subsequent developments that appeared in this field. Banach proved his principle in a perfect one-dimensional space, and then more exciting results followed after that based on the development of space or the development of contraction, see ( [5], [7], [14][15][16][17][18]). In our study, we dealt with the development in space and the contraction as well.…”