On generalized Suzuki-Proinov type (α,Z*E)−contractions in modular b−metric spaces-Reference-Cited by-同舟云学术

On generalized Suzuki-Proinov type (α,Z*E)−contractions in modular b−metric spaces

Published:2023 Issue:4 Volume:37 Page:1207-1222
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Büyükkaya Abdurrahman¹,Fulg Andreea²,Özturk Mahpeyker³

Affiliation:

1. Karadeniz Technical University, Department of Mathematics, Trabzon, Türkiye

2. Transylvania University of Brasov, Department of Mathematics and Computer Science, Brasov, Romania

3. Sakarya University, Department of Mathematics, Sakarya, Türkiye

Abstract

This paper?s objective is to put forward anewkind of E?type contraction, which includes rational expression, by considering Proinov type functions and CG?simulation functions. This type of contraction is termed as a Suzuki-Proinov type generalized (?,Z* E)?contraction mapping. Further, some common fixed point theorems using these new mappings, which are triangular ??admissible pairs, are demonstrated in the setting of modular b?metric space. Besides, the given example indicates the applicability and validity of the outcomes of this study.

Publisher

National Library of Serbia

Subject

General Mathematics

Reference38 articles.

1. S. Banach, Sur les operations dans les emsembles abstraits et leurs applications aux equations integrales, Fund. Math. 1 (1922) 133-181.

2. V.V. Chistyakov, Modular metric spaces generated by F-modulars, Folia Math. 15 (2008) 3-24.

3. V.V. Chistyakov, Modular metric spaces, I: Basic concepts, Nonlinear Anal. 72 (2010) 1-14.

4. V.V. Chistyakov, Modular metric spaces, II: Application to superposition operators, Nonlinear Anal. 72 (2010) 15-30.

5. V.V. Chistyakov, Fixed points of modular contractive maps, Dokl. Math., 86 (2012) 515-518.

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On Modified Interpolative Almost E−Type Contraction in Partial Modular b−Metric Spaces;Axioms;2023-07-07