Pub Date : 2022-01-02DOI: 10.24193/fpt-ro.2022.1.09
Salim Benslimane, S. Djebali, K. Mebarki
{"title":"On the fixed point index for sums of operators","authors":"Salim Benslimane, S. Djebali, K. Mebarki","doi":"10.24193/fpt-ro.2022.1.09","DOIUrl":"https://doi.org/10.24193/fpt-ro.2022.1.09","url":null,"abstract":"","PeriodicalId":51051,"journal":{"name":"Fixed Point Theory","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2022-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46058237","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-01-02DOI: 10.24193/fpt-ro.2022.1.04
T. O. Alakoya, A. Taiwo, O. Mewomo
. In this paper, we introduce the System of Split Generalized Mixed Equilibrium Problem (SSGMEP), which is more general than the existing well known split equilibrium problem and its generalizations, split variational inequality problem and several other related problems. We propose a new iterative algorithm of inertial form which is independent on the operator norm for solving SSGMEP in real Hilbert spaces. Motivated by the adaptive step size technique and inertial method, we incorporate self adaptive step size and inertial technique to overcome the difficulty of having to compute the operator norm and to accelerate the convergence of the proposed method. Under standard and mild assumptions on the control sequences, we establish the strong convergence of the algorithm, obtain a common solution of the SSGMEP and fixed point of finite family of multivalued demicontractive mappings. We obtain some consequent results which complement several existing results in this direction in the literature. We also apply our results to finding solution of split convex minimisation problems. Numerical example is presented to illustrate the performance of our method as well as comparing it with its non-inertial
{"title":"On system of split generalised mixed equilibrium and fixed point problems for multivalued mappings with no prior knowledge of operator norm","authors":"T. O. Alakoya, A. Taiwo, O. Mewomo","doi":"10.24193/fpt-ro.2022.1.04","DOIUrl":"https://doi.org/10.24193/fpt-ro.2022.1.04","url":null,"abstract":". In this paper, we introduce the System of Split Generalized Mixed Equilibrium Problem (SSGMEP), which is more general than the existing well known split equilibrium problem and its generalizations, split variational inequality problem and several other related problems. We propose a new iterative algorithm of inertial form which is independent on the operator norm for solving SSGMEP in real Hilbert spaces. Motivated by the adaptive step size technique and inertial method, we incorporate self adaptive step size and inertial technique to overcome the difficulty of having to compute the operator norm and to accelerate the convergence of the proposed method. Under standard and mild assumptions on the control sequences, we establish the strong convergence of the algorithm, obtain a common solution of the SSGMEP and fixed point of finite family of multivalued demicontractive mappings. We obtain some consequent results which complement several existing results in this direction in the literature. We also apply our results to finding solution of split convex minimisation problems. Numerical example is presented to illustrate the performance of our method as well as comparing it with its non-inertial","PeriodicalId":51051,"journal":{"name":"Fixed Point Theory","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2022-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47055749","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-01-02DOI: 10.24193/fpt-ro.2022.1.23
T. Senapati, A. Chanda, V. Rakočević
{"title":"Generalized quasi-contractions on weak orthogonal metric spaces","authors":"T. Senapati, A. Chanda, V. Rakočević","doi":"10.24193/fpt-ro.2022.1.23","DOIUrl":"https://doi.org/10.24193/fpt-ro.2022.1.23","url":null,"abstract":"","PeriodicalId":51051,"journal":{"name":"Fixed Point Theory","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2022-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44478280","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-01-02DOI: 10.24193/fpt-ro.2022.1.16
M. Gabeleh, D. Patel, P. Patle
. Primarily this work intends to investigate the existence of best proximity points (pairs) for new classes of cyclic (noncyclic) mappings via simulation functions and measure of noncompact-ness. Use of different classes of additional functions make it possible to generalize the contractive inequalities in this work. As an application of the main conclusions, a survey for the existence of optimal solutions of a system of integro-differential equations under some new conditions is presented. As an application of our existence results, we establish the existence of a solution for the following system of integro-differential equations
{"title":"Darbo type best proximity point (pair) results using measure of noncompactness with application","authors":"M. Gabeleh, D. Patel, P. Patle","doi":"10.24193/fpt-ro.2022.1.16","DOIUrl":"https://doi.org/10.24193/fpt-ro.2022.1.16","url":null,"abstract":". Primarily this work intends to investigate the existence of best proximity points (pairs) for new classes of cyclic (noncyclic) mappings via simulation functions and measure of noncompact-ness. Use of different classes of additional functions make it possible to generalize the contractive inequalities in this work. As an application of the main conclusions, a survey for the existence of optimal solutions of a system of integro-differential equations under some new conditions is presented. As an application of our existence results, we establish the existence of a solution for the following system of integro-differential equations","PeriodicalId":51051,"journal":{"name":"Fixed Point Theory","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2022-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49489821","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-01-02DOI: 10.24193/fpt-ro.2022.1.06
K. Amara, A. Jeribi, Najib Kaddachi
{"title":"On existence results in fixed set theory and applications to self-similarity","authors":"K. Amara, A. Jeribi, Najib Kaddachi","doi":"10.24193/fpt-ro.2022.1.06","DOIUrl":"https://doi.org/10.24193/fpt-ro.2022.1.06","url":null,"abstract":"","PeriodicalId":51051,"journal":{"name":"Fixed Point Theory","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2022-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45247340","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-01-02DOI: 10.24193/fpt-ro.2022.1.17
Md Hasanuzzaman, M. Imdad, Hayel N. Saleh
{"title":"On modified L-contraction via binary relation with an application","authors":"Md Hasanuzzaman, M. Imdad, Hayel N. Saleh","doi":"10.24193/fpt-ro.2022.1.17","DOIUrl":"https://doi.org/10.24193/fpt-ro.2022.1.17","url":null,"abstract":"","PeriodicalId":51051,"journal":{"name":"Fixed Point Theory","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2022-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48335173","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-01-02DOI: 10.24193/fpt-ro.2022.1.21
M. Rabbani, R. Arab, B. Hazarika, N. Aghazadeh
{"title":"Existence of solution of functional integral equations by measure of noncompactness and sinc interpolation to find solution","authors":"M. Rabbani, R. Arab, B. Hazarika, N. Aghazadeh","doi":"10.24193/fpt-ro.2022.1.21","DOIUrl":"https://doi.org/10.24193/fpt-ro.2022.1.21","url":null,"abstract":"","PeriodicalId":51051,"journal":{"name":"Fixed Point Theory","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2022-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42917193","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-01-02DOI: 10.24193/fpt-ro.2022.1.14
M. Eslamian, S. Azarmi, G. Eskandani
{"title":"Split equality fixed point problems and common null point problems in Hilbert spaces","authors":"M. Eslamian, S. Azarmi, G. Eskandani","doi":"10.24193/fpt-ro.2022.1.14","DOIUrl":"https://doi.org/10.24193/fpt-ro.2022.1.14","url":null,"abstract":"","PeriodicalId":51051,"journal":{"name":"Fixed Point Theory","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2022-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41856766","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-01-02DOI: 10.24193/fpt-ro.2022.1.07
Sana Hadj Amor, R. Precup, Abdelhak Traiki
{"title":"Krasnoselskii type theorems in product Banach spaces and applications to systems of nonlinear transport equations and mixed fractional differential equations","authors":"Sana Hadj Amor, R. Precup, Abdelhak Traiki","doi":"10.24193/fpt-ro.2022.1.07","DOIUrl":"https://doi.org/10.24193/fpt-ro.2022.1.07","url":null,"abstract":"","PeriodicalId":51051,"journal":{"name":"Fixed Point Theory","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2022-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48708920","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-01-02DOI: 10.24193/fpt-ro.2022.1.24
S. Som, L. Dey, W. Sintunavarat
{"title":"Cantor's intersection theorem in the setting of F-metric spaces","authors":"S. Som, L. Dey, W. Sintunavarat","doi":"10.24193/fpt-ro.2022.1.24","DOIUrl":"https://doi.org/10.24193/fpt-ro.2022.1.24","url":null,"abstract":"","PeriodicalId":51051,"journal":{"name":"Fixed Point Theory","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2022-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49127120","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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