Pub Date : 2024-05-06DOI: 10.1186/s13663-024-00766-1
Suchat Samphavat, Thanakorn Prinyasart
{"title":"On ultrametrics, b-metrics, w-distances, metric-preserving functions, and fixed point theorems","authors":"Suchat Samphavat, Thanakorn Prinyasart","doi":"10.1186/s13663-024-00766-1","DOIUrl":"https://doi.org/10.1186/s13663-024-00766-1","url":null,"abstract":"","PeriodicalId":87256,"journal":{"name":"Fixed point theory and algorithms for sciences and engineering","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141008727","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Fixed point results for Geraghty–Ćirić-type contraction mappings in b-metric space with applications","authors":"Albray Gebremariam Kalo, Kidane Koyas Tola, Haider Ebrahim Yesuf","doi":"10.1186/s13663-024-00764-3","DOIUrl":"https://doi.org/10.1186/s13663-024-00764-3","url":null,"abstract":"","PeriodicalId":87256,"journal":{"name":"Fixed point theory and algorithms for sciences and engineering","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140676355","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-01-22DOI: 10.1186/s13663-024-00760-7
Asifa Tassaddiq, Sania Qureshi, Amanullah Soomro, O. A. Arqub, Mehmet Şenol
{"title":"Comparative analysis of classical and Caputo models for COVID-19 spread: vaccination and stability assessment","authors":"Asifa Tassaddiq, Sania Qureshi, Amanullah Soomro, O. A. Arqub, Mehmet Şenol","doi":"10.1186/s13663-024-00760-7","DOIUrl":"https://doi.org/10.1186/s13663-024-00760-7","url":null,"abstract":"","PeriodicalId":87256,"journal":{"name":"Fixed point theory and algorithms for sciences and engineering","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-01-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139606722","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-12-18DOI: 10.1186/s13663-023-00757-8
V. Pragadeeswarar, R. Gopi
{"title":"Existence and convergence of best proximity points for generalized pseudo-contractive and Lipschitzian mappings via an Ishikawa-type iterative scheme","authors":"V. Pragadeeswarar, R. Gopi","doi":"10.1186/s13663-023-00757-8","DOIUrl":"https://doi.org/10.1186/s13663-023-00757-8","url":null,"abstract":"","PeriodicalId":87256,"journal":{"name":"Fixed point theory and algorithms for sciences and engineering","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139173243","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-12-01DOI: 10.1186/s13663-023-00753-y
H. Abass, M. Aphane, O. K. Oyewole
{"title":"A new self-adaptive method for solving resolvent of sum of two monotone operators in Banach spaces","authors":"H. Abass, M. Aphane, O. K. Oyewole","doi":"10.1186/s13663-023-00753-y","DOIUrl":"https://doi.org/10.1186/s13663-023-00753-y","url":null,"abstract":"","PeriodicalId":87256,"journal":{"name":"Fixed point theory and algorithms for sciences and engineering","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138613775","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-11-06DOI: 10.1186/s13663-023-00751-0
Mathias Staudigl, Paulin Jacquot
Abstract We develop a novel randomised block-coordinate primal-dual algorithm for a class of non-smooth ill-posed convex programs. Lying midway between the celebrated Chambolle–Pock primal-dual algorithm and Tseng’s accelerated proximal gradient method, we establish global convergence of the last iterate as well as optimal $O(1/k)$ O(1/k) and $O(1/k^{2})$ O(1/k2) complexity rates in the convex and strongly convex case, respectively, k being the iteration count. Motivated by the increased complexity in the control of distribution-level electric-power systems, we test the performance of our method on a second-order cone relaxation of an AC-OPF problem. Distributed control is achieved via the distributed locational marginal prices (DLMPs), which are obtained as dual variables in our optimisation framework.
{"title":"Random block-coordinate methods for inconsistent convex optimisation problems","authors":"Mathias Staudigl, Paulin Jacquot","doi":"10.1186/s13663-023-00751-0","DOIUrl":"https://doi.org/10.1186/s13663-023-00751-0","url":null,"abstract":"Abstract We develop a novel randomised block-coordinate primal-dual algorithm for a class of non-smooth ill-posed convex programs. Lying midway between the celebrated Chambolle–Pock primal-dual algorithm and Tseng’s accelerated proximal gradient method, we establish global convergence of the last iterate as well as optimal $O(1/k)$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mi>O</mml:mi> <mml:mo>(</mml:mo> <mml:mn>1</mml:mn> <mml:mo>/</mml:mo> <mml:mi>k</mml:mi> <mml:mo>)</mml:mo> </mml:math> and $O(1/k^{2})$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mi>O</mml:mi> <mml:mo>(</mml:mo> <mml:mn>1</mml:mn> <mml:mo>/</mml:mo> <mml:msup> <mml:mi>k</mml:mi> <mml:mn>2</mml:mn> </mml:msup> <mml:mo>)</mml:mo> </mml:math> complexity rates in the convex and strongly convex case, respectively, k being the iteration count. Motivated by the increased complexity in the control of distribution-level electric-power systems, we test the performance of our method on a second-order cone relaxation of an AC-OPF problem. Distributed control is achieved via the distributed locational marginal prices (DLMPs), which are obtained as dual variables in our optimisation framework.","PeriodicalId":87256,"journal":{"name":"Fixed point theory and algorithms for sciences and engineering","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135585284","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-10-16DOI: 10.1186/s13663-023-00750-1
A. Y. Inuwa, P. Kumam, P. Chaipunya, S. Salisu
Abstract We present enriched Kannan and enriched Bianchini mappings in the framework of unique geodesic spaces. For such mappings, we establish the existence and uniqueness of a fixed point in the setting of CAT(0) spaces and show that an appropriate Krasnoselskij scheme converges with certain rate to the fixed point. We proved some inclusion relations between enriched Kannan mapping and some applicable mappings such as strongly demicontractive mapping. Finally, we give an example in a nonlinear CAT(0) space and perform numerical experiments to support the theoretical results.
{"title":"Fixed point theorems for enriched Kannan mappings in CAT(0) spaces","authors":"A. Y. Inuwa, P. Kumam, P. Chaipunya, S. Salisu","doi":"10.1186/s13663-023-00750-1","DOIUrl":"https://doi.org/10.1186/s13663-023-00750-1","url":null,"abstract":"Abstract We present enriched Kannan and enriched Bianchini mappings in the framework of unique geodesic spaces. For such mappings, we establish the existence and uniqueness of a fixed point in the setting of CAT(0) spaces and show that an appropriate Krasnoselskij scheme converges with certain rate to the fixed point. We proved some inclusion relations between enriched Kannan mapping and some applicable mappings such as strongly demicontractive mapping. Finally, we give an example in a nonlinear CAT(0) space and perform numerical experiments to support the theoretical results.","PeriodicalId":87256,"journal":{"name":"Fixed point theory and algorithms for sciences and engineering","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136077772","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-09-12DOI: 10.1186/s13663-023-00749-8
Rahul Shukla
Abstract The aim of this paper is to broaden the applicability of convex orbital $(alpha, beta )$ (α,β) -contraction mappings to geodesic spaces. This class of mappings is a natural extension of iterated contraction mappings. The paper derives fixed-point theorems both with and without assuming continuity. Furthermore, the paper investigates monotone convex orbital $(alpha, beta )$ (α,β) -contraction mappings and establishes a fixed-point theorem for this class of mappings.
{"title":"Some fixed-point theorems of convex orbital $(alpha, beta )$-contraction mappings in geodesic spaces","authors":"Rahul Shukla","doi":"10.1186/s13663-023-00749-8","DOIUrl":"https://doi.org/10.1186/s13663-023-00749-8","url":null,"abstract":"Abstract The aim of this paper is to broaden the applicability of convex orbital $(alpha, beta )$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mo>(</mml:mo> <mml:mi>α</mml:mi> <mml:mo>,</mml:mo> <mml:mi>β</mml:mi> <mml:mo>)</mml:mo> </mml:math> -contraction mappings to geodesic spaces. This class of mappings is a natural extension of iterated contraction mappings. The paper derives fixed-point theorems both with and without assuming continuity. Furthermore, the paper investigates monotone convex orbital $(alpha, beta )$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mo>(</mml:mo> <mml:mi>α</mml:mi> <mml:mo>,</mml:mo> <mml:mi>β</mml:mi> <mml:mo>)</mml:mo> </mml:math> -contraction mappings and establishes a fixed-point theorem for this class of mappings.","PeriodicalId":87256,"journal":{"name":"Fixed point theory and algorithms for sciences and engineering","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135824520","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-07-17DOI: 10.1186/s13663-023-00748-9
Nassar Aiman Majid, A. Jumaili, Zhen Chuan Ng, Seekeong Lee
{"title":"Some applications of fixed point results for monotone multivalued and integral type contractive mappings","authors":"Nassar Aiman Majid, A. Jumaili, Zhen Chuan Ng, Seekeong Lee","doi":"10.1186/s13663-023-00748-9","DOIUrl":"https://doi.org/10.1186/s13663-023-00748-9","url":null,"abstract":"","PeriodicalId":87256,"journal":{"name":"Fixed point theory and algorithms for sciences and engineering","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48604232","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-07-03DOI: 10.1186/s13663-023-00747-w
G. Yuan
{"title":"Fixed point theorems and applications in p-vector spaces","authors":"G. Yuan","doi":"10.1186/s13663-023-00747-w","DOIUrl":"https://doi.org/10.1186/s13663-023-00747-w","url":null,"abstract":"","PeriodicalId":87256,"journal":{"name":"Fixed point theory and algorithms for sciences and engineering","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48344059","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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