A fixed point theory for S -contractions in generalized Kasahara spaces

Filip, Alexandru-Darius

doi:10.22436/jnsa.006.02.07

Cited by 4 publications

(6 citation statements)

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“…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:…”

Section: From a Dislocated Metric Space To A Kasahara Spacementioning

confidence: 99%

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

Filip

2021

CJM

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In this paper we discuss similar problems posed by I. A. Rus in Fixed point theory in partial metric spaces (Analele Univ. de Vest Timişoara, Mat.-Inform., 46 (2008), 149–160) and in Kasahara spaces (Sci. Math. Jpn., 72 (2010), No. 1, 101–110). We start our considerations with an overview of generalized metric spaces with \mathbb{R}_+-valued distance and of generalized contractions on such spaces. After that we give some examples of conversions between generalized metric spaces and standard metric spaces with applications in fixed point theory. Some possible applications to theoretical informatics are also considered.

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Section: From a Dislocated Metric Space To A Kasahara Spacementioning

confidence: 99%

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

Filip

2021

CJM

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“…Let > 0 and , : → . We say that ( , ) is a -weakly Picard pair if there exists a weakly Picard operator ℎ : → such that More results on these as well as related problems can be found in [81][82][83][84][85][86][87][88][89][90][91][92][93][94][95].…”

Section: Stability Of the Fixed Point Equation And Its Generalizationmentioning

confidence: 99%

Fixed Point Theory and the Ulam Stability

Brzdęk

Cădariu

Ciepliński

2014

Journal of Function Spaces

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The fixed point method has been applied for the first time, in proving the stability results for functional equations, by Baker (1991); he used a variant of Banach's fixed point theorem to obtain the stability of a functional equation in a single variable. However, most authors follow the approaches involving a theorem of Diaz and Margolis. The main aim of this survey is to present applications of different fixed point theorems to the theory of stability of functional equations, motivated by a problem raised by Ulam in 1940.

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

Section: Introductionmentioning

confidence: 99%

“…In this paper we will use the notations and terminology given in [3] and [19]. The notions of comparison function, L-space and large Kasahara space are recalled below.…”

Section: Introductionmentioning

confidence: 99%