Implicit and explicit algorithms for split common fixed point problems

Qamrul Hasan Ansari; Aisha Rehan; Ching Feng Wen

Implicit and explicit algorithms for split common fixed point problems

Qamrul Hasan Ansari, Aisha Rehan, Ching Feng Wen^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

16 Scopus citations

Abstract

In this paper, we introduce an implicit algorithm and an explicit algorithm for solving the split common fixed point problems. Under some mild conditions, we show the strong convergence of presented algorithms to the so-lution of the split common fixed point problem which also solves a variational inequality. Furthermore, we apply our iterative algorithms to solve some convex and nonlinear problems, namely, variational problems and equilibrium problems.

Original language	English
Pages (from-to)	1381-1397
Number of pages	17
Journal	Journal of Nonlinear and Convex Analysis
Volume	17
Issue number	7
State	Published - 2016
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2016.

ASJC Scopus subject areas

Analysis
Geometry and Topology
Control and Optimization
Applied Mathematics

Cite this

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title = "Implicit and explicit algorithms for split common fixed point problems",

abstract = "In this paper, we introduce an implicit algorithm and an explicit algorithm for solving the split common fixed point problems. Under some mild conditions, we show the strong convergence of presented algorithms to the so-lution of the split common fixed point problem which also solves a variational inequality. Furthermore, we apply our iterative algorithms to solve some convex and nonlinear problems, namely, variational problems and equilibrium problems.",

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T1 - Implicit and explicit algorithms for split common fixed point problems

AU - Ansari, Qamrul Hasan

AU - Rehan, Aisha

AU - Wen, Ching Feng

PY - 2016

Y1 - 2016

N2 - In this paper, we introduce an implicit algorithm and an explicit algorithm for solving the split common fixed point problems. Under some mild conditions, we show the strong convergence of presented algorithms to the so-lution of the split common fixed point problem which also solves a variational inequality. Furthermore, we apply our iterative algorithms to solve some convex and nonlinear problems, namely, variational problems and equilibrium problems.

AB - In this paper, we introduce an implicit algorithm and an explicit algorithm for solving the split common fixed point problems. Under some mild conditions, we show the strong convergence of presented algorithms to the so-lution of the split common fixed point problem which also solves a variational inequality. Furthermore, we apply our iterative algorithms to solve some convex and nonlinear problems, namely, variational problems and equilibrium problems.

UR - https://www.scopus.com/pages/publications/85012025868

M3 - Article

AN - SCOPUS:85012025868

SN - 1345-4773

VL - 17

SP - 1381

EP - 1397

JO - Journal of Nonlinear and Convex Analysis

JF - Journal of Nonlinear and Convex Analysis

IS - 7

ER -

Implicit and explicit algorithms for split common fixed point problems

Abstract

Bibliographical note

ASJC Scopus subject areas

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Cite this