Fixed points of monotone asymptotic pointwise ρ-nonexpansive semigroups in modular spaces-Reference-Cited by-同舟云学术

Fixed points of monotone asymptotic pointwise ρ-nonexpansive semigroups in modular spaces

Published:2023 Issue:10 Volume:37 Page:3281-3289
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Prasad Gopi¹,Işık Hüseyin²,Radenovic Stojan³^ORCID

Affiliation:

1. Department of Mathematics, H.N.B. Garhwal University, Srinagar Garhwal, India

2. Department of Engineering Science, Bandırma Onyedi Eyl¨ ul University, Bandırma, Balıkesir, Turkey

3. Faculty of Mechanical Engineering, University of Belgrade, Beograd, Serbia

Abstract

In this paper, we prove common fixed point results for monotone asymptotic pointwise ?-nonexpansive semigroups in modular function spaces. Thus, utilizing the monotonicity of semigroups, our findings generalize and extend some prominent recent results of the literature in the setting of modular function spaces.

Publisher

National Library of Serbia

Subject

General Mathematics

Reference24 articles.

1. A.A.N. Abdou, M.A. Khamsi, Fixed point theorems in modular vector spaces, J. Nonlinear Sci. Appl., 10 (2017), 4046-4057.

2. A. Alam, M. Imdad, Comparable linear contractions in ordered metric spaces, Fixed Point Theory, 18 (2017), 415-432.

3. M. Bachar, M.A. Khamsi, Recent contributions to fixed point theory of monotone mappings, J. Fixed Point Theory Appl., 19 (2015), 1953-1976.

4. M. Bachar, M.A. Khamsi, W.M. Kozlowski, M. Bounkhel, Common fixed points of monotone Lipschitzian semigroups in Banach spaces, J. Nonlinear Sci. Appl., 11 (2017), 73-79.

5. B.A. Bin Dehaish, M.A. Khamsi, W.M. Kozlowski, Common fixed points for pointwise Lipschitzian semigroups in modular function spaces, Fixed Point Theory Appl., 2013 (2013), 214.