Some Fixed-Point Results in Extended S-Metric Space of Type (α,β)

Abstract

In this paper, we introduce the notion of extended S-metric space of type (α,β). This extension is a generalization of S-metric space, defined by employing two functions instead of considering a constant in the second condition of the S-metric space definition. Accordingly, we prove some fixed-point results and give some examples to illustrate the validity of our work, along with giving an application of the Fredholm integral equation.

Metallic Structures for Tangent Bundles over Almost Quadratic ϕ-Manifolds

“…Tanno [10] studied complete and vertical lifts of an almost contact structure on TM and defined a tensor field J of type (1,1) and proved that it is an almost complex structure on TM. Numerous investigators have studied various geometric structures on TM-an almost complex structure by Yano [11], paracomplex structures by Tekkoyun [12], almost r-contact structures by Das and Khan [13], and many others [14][15][16][17][18][19].…”