Nadler’s fixed point theorem in ν-generalized metric spaces

AbstractWe prove a fixed point theorem for contractive mappings of Boyd and Wong type in generalized metric spaces, a concept recently introduced in [BRANCIARI, A.: A fixed point theorem of Banach-Caccioppoli type on a class of generalized metric spaces, Publ. Math. Debrecen 57 (2000), 31–37].

Download Full-text

Fixed point theorems for a system of transformations in generalized metric spaces

Asian-European Journal of Mathematics ◽

10.1142/s1793557115500680 ◽

2015 ◽

Vol 08 (04) ◽

pp. 1550068 ◽

Cited By ~ 2

Author(s):

Stefan Czerwik ◽

Krzysztof Król

Keyword(s):

Fixed Point ◽

Fixed Point Theorem ◽

Fixed Points ◽

Point Theorem ◽

Fixed Point Theorems ◽

Metric Spaces ◽

Banach Fixed Point Theorem ◽

Generalized Metric Spaces ◽

Generalized Metric

In this paper we present the results on the existence of fixed points of system of mappings in generalized metric spaces generalizing the result of Diaz and Margolis. Also the “local fixed point theorems” of a system of such mappings both in generalized and ordinary metric spaces are stated. Banach fixed point theorem and many others are consequences of our results.

Download Full-text

Fixed Point Theorems for L-Contractions in Generalized Metric Spaces

Abstract and Applied Analysis ◽

10.1155/2018/1327691 ◽

2018 ◽

Vol 2018 ◽

pp. 1-6 ◽

Cited By ~ 2

Author(s):

Seong-Hoon Cho

Keyword(s):

Fixed Point ◽

Fixed Point Theorem ◽

Point Theorem ◽

Fixed Point Theorems ◽

Metric Spaces ◽

Generalized Metric Spaces ◽

Generalized Metric

In this paper, the notion of L-contractions is introduced and a new fixed point theorem for such contractions is established.

Download Full-text

Fisher Fixed Point Results in Generalized Metric Spaces with a Graph

International Journal of Mathematics and Mathematical Sciences ◽

10.1155/2020/7253759 ◽

2020 ◽

Vol 2020 ◽

pp. 1-8

Author(s):

Karim Chaira ◽

Abderrahim Eladraoui ◽

Mustapha Kabil ◽

Abdessamad Kamouss

Keyword(s):

Fixed Point ◽

Fixed Point Theorem ◽

Point Theorem ◽

Metric Space ◽

Metric Spaces ◽

Banach Contraction Principle ◽

Generalized Metric Space ◽

Generalized Metric Spaces ◽

Generalized Metric ◽

Banach Contraction

We discuss Fisher’s fixed point theorem for mappings defined on a generalized metric space endowed with a graph. This work should be seen as a generalization of the classical Fisher fixed point theorem. It extends some recent works on the enlargement of Banach Contraction Principle to generalized metric spaces with graph. An example is given to illustrate our result.

Download Full-text

A fixed point theorem in generalized metric spaces

Demonstratio Mathematica ◽

10.1515/dema-2013-0432 ◽

2013 ◽

Vol 46 (1) ◽

Cited By ~ 1

Author(s):

Luljeta Kikina ◽

Kristaq Kikina

Keyword(s):

Fixed Point ◽

Fixed Point Theorem ◽

Point Theorem ◽

Metric Space ◽

Fixed Point Theorems ◽

Triangle Inequality ◽

Metric Spaces ◽

Generalized Metric Space ◽

Generalized Metric Spaces ◽

Generalized Metric

AbstractA generalized metric space has been defined by Branciari as a metric space in which the triangle inequality is replaced by a more general inequality. Subsequently, some classical metric fixed point theorems have been transferred to such a space. In this paper, we continue in this direction and prove a version of Fisher’s fixed point theorem in generalized metric spaces.

Download Full-text

A fixed point theorem for generalized $(\psi ,\varphi )$-weak contractions in Branciari type generalized metric spaces

Fixed Point Theory and Algorithms for Sciences and Engineering ◽

10.1186/s13663-021-00688-2 ◽

2021 ◽

Vol 2021 (1) ◽

Author(s):

Zhiqun Xue ◽

Guiwen Lv

Keyword(s):

Fixed Point ◽

Fixed Point Theorem ◽

Fixed Points ◽

Point Theorem ◽

Convergence Theorem ◽

Metric Spaces ◽

Generalized Metric Spaces ◽

Generalized Metric ◽

Weaker Conditions

AbstractIn this paper, we obtain a new convergence theorem for fixed points of weak contractions in Branciari type generalized metric spaces under weaker conditions. The proof process of the theorem is new and different from that of other authors. An illustrative example of this theorem is to show how the new conditions extend known results.

Download Full-text