On admissible hybrid Geraghty contractions-Reference-Cited by-同舟云学术

On admissible hybrid Geraghty contractions

Published:2020-09-30 Issue:3 Volume:36 Page:433-442
ISSN:1843-4401
Container-title:Carpathian Journal of Mathematics
language:
Short-container-title:CJM

Author:

KARAPINAR ERDAL¹,PETRUSEL ADRIAN²,PETRUSEL GABRIELA²

Affiliation:

1. DEPARTMENT OF MEDICAL RESEARCH CHINA MEDICAL UNIVERSITY CHINA MEDICAL UNIVERSITY HOSPITAL

2. DEPARTMENT OF MATHEMATICS BABES¸ -BOLYAI UNIVERSITY

Abstract

In this manuscript, we introduce the notion of admissible hybrid Geraghty contraction and we investigate the existence of fixed points of such mappings in the setting of complete metric spaces. Our results not only extend and generalize several results in the fixed point theory literature, but also unify most of them. We give some corollaries to illustrate the novelty of the main result.

Publisher

Technical University of Cluj Napoca, North University Center of Baia Mare

Subject

General Mathematics

Reference22 articles.

1. [1] Agarwal, R. and Karapınar, E., Interpolative Rus-Reich-Ciric type contractions via simulation functions, An. St. Univ. Ovidius Constanta, Ser. Mat., 27 (2019), No. 3, 137–152

2. [2] Aydi, H., Chen, C. M. and Karapınar, E., Interpolative Ciri´c-Reich-Rus type contractions via the Branciari distance, Mathematics, 7 (2019), No. 1, 84; https://doi.org/10.3390/math7010084

3. [3] Aydi, H., Karapınar, E. and Roldan Lopez de Hierro, A. F., ω-Interpolative Ciri´c-Reich-Rus-type contractions ´ , Mathematics 7 (2019), No. 1, 84; https://doi.org/10.3390/math7010084

4. [4] Bianchini, R. M. and Grandolfi, M. , Transformazioni di tipo contracttivo generalizzato in uno spazio metrico, Atti Acad. Naz. Lincei, VII. Ser. Rend. Cl. Sci. Fis. Mat. Natur., 45 (1968), 212–216

5. [5] Ciri ´ c, Lj. , ´ A generalization of Banach’s contraction principle, Proc. Amer. Math. Soc., 45 (1974), 267–273

Cited by 9 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. Fixed Point Results for Generalized;Foundations;2023-07-26

2. New fixed point results in double controlled metric type spaces with applications;AIMS Mathematics;2023

3. New Contractive Mappings and Solutions to Boundary-Value Problems in Triple Controlled Metric Type Spaces;Symmetry;2022-10-29

4. Alternative proofs of some classical metric fixed point theorems by using approximate fixed point sequences;Arabian Journal of Mathematics;2022-09-29

5. On Pata Convex-Type Contractive Mappings;Journal of Function Spaces;2022-09-08