Extended Partial Sb-Metric Spaces

Abstract

In this paper, we introduce the concept of extended partial S b -metric spaces, which is a generalization of the extended S b -metric spaces. Basically, in the triangle inequality, we add a control function with some very interesting properties. These new metric spaces generalize many results in the literature. Moreover, we prove some fixed point theorems under some different contractions, and some examples are given to illustrate our results.

Best Approximation Results in Various Frameworks

“…dist (A, B, C) = inf {D (x, y, z) : x ∈ A, y ∈ B and z ∈ C} . This paper aims to establish best proximity point results for subclasses of cyclic, noncyclic and tricylic mappings in the framework of partial dualistic metric spaces and the lately introduced extended partial S b -metric spaces [13].…”

On Fixed Points in the Setting of $C^*$-Algebra-Valued Controlled $F_c$-Metric Type Spaces

“…For more engrossing results in extended b-metric spaces, the reader may refer to [3][4][5][6][7][8][9]. In [2], Aiman Mukheimer have recently examined the hypothesis of extended partial S b -metric spaces.…”

Mathematical Analysis and Applications II

“…Web Site: http://www.math.uvic.ca/faculty/harimsri/ The present volume contains the invited, accepted and published submissions (see [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17]) to a Special Issue of the MDPI's journal, Axioms, on the subject-area of "Mathematical Analysis and Applications II". A successful predecessor of this volume happens to be the Special Issue of the MDPI's journal, Axioms, on the subject-area of "Mathematical Analysis and Applications" (see, for details, [18]).…”