Fixed point theory for nonself generalized contractions in Kasahara spaces

Abstract

In this paper we extend some results of V. Berinde, Şt. Măruşter and I.A. Rus (Saturated contraction principles for nonself operators, generalizations and applications, Filomat, 31:11(2017), 3391-3406), which were given in metric spaces, to Kasahara spaces. Some research directions are also presented.

2022/07/26 "Fixed point theorems for nonself generalized contractions on a large Kasahara space"

“…Example 1.4 (See [10], [18], [5]). Let (X, ρ) be a complete metric space and (X, d) be a metric space, where ρ, d : X × X → R m + .…”

“….). Some results are given in the case of Kasahara spaces ( [4], [5], [14]). By following the papers of S. Reich and A.J.…”

Conversions between generalized metric spaces and standard metric spaces with applications in fixed point theory

“…A. Rus in [29]. More considerations on these spaces can be found in [8]- [10]. In this paper, by a Kasahara space we understand a mixed structure, denoted by (X, F →, ρ), in which the following conditions hold:…”

Fixed point theorems for nonself operators on a large Kasahara space

“….). Some results are given in the case of Kasahara spaces ( [3], [4], [13]). By following the papers of S. Reich and A.J.…”

“…Example 1.2. (See [9], [17], [4]). Let (X, ρ) be a complete metric space and (X, d) be a metric space.…”