Results 11 to 20 of about 31,903 (270)

Algorithms for Approximating Solutions of Split Variational Inclusion and Fixed-Point Problems

Mathematics, 2023
In this paper, the split fixed point and variational inclusion problem is considered. With the help of fixed point technique, Tseng-type splitting method and self-adaptive rule, an iterative algorithm is proposed for solving this split problem in which ...
Li-Jun Zhu, Yonghong Yao
doaj   +3 more sources

Modified Iterative Schemes for a Fixed Point Problem and a Split Variational Inclusion Problem

Mathematics, 2022
In this paper, we alter Wang’s new iterative method as well as apply it to find the common solution of fixed point problem (FPP) and split variational inclusion problem (SpVIP) in Hilbert space.
Mohammad Akram, Mohammad Dilshad, Arvind Kumar Rajpoot, Feeroz Babu, Rais Ahmad, Jen-Chih Yao   +5 more
doaj   +3 more sources

Split variational inclusions for Bregman multivalued maximal monotone operators [PDF]

RAIRO - Operations Research, 2021
We introduce a new algorithm to approximate a solution of split variational inclusion problems of multivalued maximal monotone operators in uniformly convex and uniformly smooth Banach spaces under the Bregman distance. A strong convergence theorem for the above problem is established and several important known results are deduced as corollaries to it.
Mujahid Abbas, Faik Gürsoy, Yusuf Ibrahim, Abdul Rahim Khan   +3 more
openaire   +1 more source

On the Monotone Variational Inclusion Problems: A New Algorithm-Based Modified Splitting Approach

Journal of Function Spaces
In this paper, we introduce and analyze an inertial viscosity forward–backward splitting approach. We approximate a common solution of the monotone variational inclusion problem by using the demicontractive mapping in a real Hilbert space.
Uzoamaka A. Ezeafulukwe, George B. Akuchu, Sina Etemad, Austine E. Ofem, Godwin C. Ugwunnadi, Zaher Mundher Yaseen   +5 more
doaj   +2 more sources

A Cyclic Iterative Algorithm for Multiple-Sets Split Common Fixed Point Problem of Demicontractive Mappings without Prior Knowledge of Operator Norm

Mathematics, 2021
The aim of this paper is to formulate and analyze a cyclic iterative algorithm in real Hilbert spaces which converges strongly to a common solution of fixed point problem and multiple-sets split common fixed point problem involving demicontractive ...
Nishu Gupta, Mihai Postolache, Ashish Nandal, Renu Chugh   +3 more
doaj   +1 more source

An Iterative Method for Solving Split Monotone Variational Inclusion Problems and Finite Family of Variational Inequality Problems in Hilbert Spaces

International Journal of Mathematics and Mathematical Sciences, 2021
The purpose of this paper is to study the convergence analysis of an intermixed algorithm for finding the common element of the set of solutions of split monotone variational inclusion problem (SMIV) and the set of a finite family of variational ...
Wanna Sriprad, Somnuk Srisawat
doaj   +1 more source

New inertial method for generalized split variational inclusion problems

Journal of Industrial & Management Optimization, 2021
<p style='text-indent:20px;'>The purpose of this paper is to introduce a new inertial iterative method for solving split variational inclusion problems in real Hilbert spaces. We prove that the generated sequence converges weakly to the solution of the considered problem under some mild conditions.
Chuasuk, Preeyanuch, Ogbuisi, Ferdinard, Shehu, Yekini, Cholamjiak, Prasit   +3 more
openaire   +2 more sources

Simple inertial methods for solving split variational inclusions in Banach Spaces [PDF]

Mathematical Methods in the Applied Sciences, 2020
In this paper, we introduce two simple inertial algorithms for solving the split variational inclusion problem in Banach spaces. Under mild and standard assumptions, we establish the weak and strong convergence of the proposed methods, respectively. As theoretical realization we study existence of solutions of the split common fixed point problem in ...
Yan Tang, Aviv Gibali, Yeol Je Cho
openaire   +2 more sources

An iterative method for split hierarchical monotone variational inclusions [PDF]

Fixed Point Theory and Applications, 2015
AbstractIn this paper, we introduce a split hierarchical monotone variational inclusion problem (SHMVIP) which includes split variational inequality problems, split monotone variational inclusion problems, split hierarchical variational inequality problems, etc., as special cases.
Ansari, Qamrul Hasan, Rehan, Aisha
openaire   +1 more source

New Approach to Split Variational Inclusion Issues through a Three-Step Iterative Process

Mathematics, 2022
Split variational inclusions are revealed as a large class of problems that includes several other pre-existing split-type issues: split feasibility, split zeroes problems, split variational inequalities and so on.
Andreea Bejenaru, Mihai Postolache
doaj   +1 more source