Some Fixed Point Theorems Via Combination of Weak Contraction and Caristi Contractive Mapping-Reference-Cited by-同舟云学术

Some Fixed Point Theorems Via Combination of Weak Contraction and Caristi Contractive Mapping

Published:2021-04-13 Issue:0 Volume:0 Page:
ISSN:2391-4238
Container-title:Annales Mathematicae Silesianae
language:en
Short-container-title:

Author:

Roy Kushal¹,Panja Sayantan¹,Saha Mantu¹,Mitrović Zoran D.²

Affiliation:

1. Department of Mathematics , The University of Burdwan , Purba Bardhaman-713104 , West Bengal , India

2. University of Banja Luka , Faculty of Electrical Engineering , patre 5, 78000 Banja Luka , Bosnia and Herzegovina

Abstract

Abstract In this paper we introduce some new types of contractive mappings by combining Caristi contraction, Ćirić-quasi contraction and weak contraction in the framework of a metric space. We prove some fixed point theorems for such type of mappings over complete metric spaces with the help of φ-diminishing property. Some examples are given in strengthening the hypothesis of our established theorems.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.sciendo.com/pdf/10.2478/amsil-2021-0003

Reference10 articles.

1. [1] S. Banach, Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales, Fund. Math. 3 (1922), 133–181.

2. [2] V. Berinde, Approximating fixed points of weak contractions using the Picard iteration, Nonlinear Anal. Forum 9 (2004), no. 1, 43–53.

3. [3] J. Caristi, Fixed point theorems for mappings satisfying inwardness conditions, Trans. Amer. Math. Soc. 215 (1976), 241–251.

4. [4] L.B. Ćirić, Generalized contractions and fixed-point theorems, Publ. Inst. Math. (Beograd) (N.S.) 12(26) (1971), 19–26.

5. [5] L.B. Ćirić, A generalization of Banach’s contraction principle, Proc. Amer. Math. Soc. 45 (1974), 267–273.

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