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A NEW ITERATION SCHEME FOR A HYBRID PAIR OF NONEXPANSIVE MAPPINGS
( Izhar Uddin ),( Mohammad Imdad ) 호남수학회 2016 호남수학학술지 Vol.38 No.1
In this paper, we construct an iteration scheme involving a hybrid pair of nonexpansive mappings and utilize the same to prove some convergence theorems. In process, we remove a restricted condition (called end-point condition) in Sokhuma and Kaewkhao`s results [Sokhuma and Kaewkhao, Fixed Point Theory Appl. 2010, Art. ID 618767, 9 pp.].
A NEW ITERATION SCHEME FOR A HYBRID PAIR OF NONEXPANSIVE MAPPINGS
Uddin, Izhar,Imdad, Mohammad The Honam Mathematical Society 2016 호남수학학술지 Vol.38 No.1
In this paper, we construct an iteration scheme involving a hybrid pair of nonexpansive mappings and utilize the same to prove some convergence theorems. In process, we remove a restricted condition (called end-point condition) in Sokhuma and Kaewkhao's results [Sokhuma and Kaewkhao, Fixed Point Theory Appl. 2010, Art. ID 618767, 9 pp.].
SOME CONVERGENCE RESULTS FOR GENERALIZED NONEXPANSIVE MAPPINGS IN CAT(0) SPACES
Garodia, Chanchal,Uddin, Izhar Korean Mathematical Society 2019 대한수학회논문집 Vol.34 No.1
The aim of this paper is to study convergence behaviour of Thakur iteration scheme in CAT(0) spaces for generalized nonexpansive mappings. In process, several relevant results of the existing literature are generalized and improved.
Sajan Aggarwal,Izhar Uddin,Nuttapol Pakkaranang,Nopparat Wairojjana,Prasit Cholamjiak 경남대학교 기초과학연구소 2021 Nonlinear Functional Analysis and Applications Vol.26 No.1
In this paper we study the weak and strong convergence to minimizers of convex function of proximal point algorithm SP-iteration of three multivalued nonexpansive mappings in a Hilbert space.
CONVERGENCE THEOREMS FOR SP -ITERATION SCHEME IN A ORDERED HYPERBOLIC METRIC SPACE
Sajan Aggarwal,Izhar Uddin,Samad Mujahid 경남대학교 기초과학연구소 2021 Nonlinear Functional Analysis and Applications Vol.26 No.5
In this paper, we study the $Delta$-convergence and strong convergence of SP-iteration scheme involving a nonexpansive mapping in partially ordered hyperbolic metric spaces. Also, we give an example to support our main result and compare SP-iteration scheme with the Mann iteration and Ishikawa iteration scheme. Thus, we generalize many previous results.
Mohd Shoaib Khan,Izhar Uddin,Q.M. Danish Lohani 한국전산응용수학회 2019 Journal of applied mathematics & informatics Vol.37 No.5
The Banach spaces m^p(ø) and n^p(ø) are very important sequence spaces related to l_p, which were defined to fill the gaps between l_p (1≤p≤∞). In this paper, we investigated the solubility of the infinite system of differential equations in m^p(ø) and n^p(ø) by proving related theorems. Moreover, one example has been included for the justification of the claim of this paper.
KHAN, MOHD SHOAIB,UDDIN, IZHAR,LOHANI, Q.M. DANISH The Korean Society for Computational and Applied M 2019 Journal of applied mathematics & informatics Vol.37 No.5
The Banach spaces $m^p(\phi)$ and $n^p(\phi)$ are very important sequence spaces related to $l_p$, which were defined to fill the gaps between $l_p(1{\leq}p{\leq}{\infty})$. In this paper, we investigated the solubility of the infinite system of differential equations in $m^p(\phi)$ and $n^p(\phi)$ by proving related theorems. Moreover, one example has been included for the justification of the claim of this paper.