Approximation solvability of a class of A-monotone implicit variational inclusion problems in semi-inner product spaces

2014 ◽  
Vol 236 ◽  
pp. 109-117 ◽  
Author(s):  
N.K. Sahu ◽  
R.N. Mohapatra ◽  
C. Nahak ◽  
S. Nanda
Keyword(s):  
Variational Inclusion ◽  
Inner Product ◽  
Product Spaces ◽  
Inclusion Problems ◽  
Inner Product Spaces

scholarly journals Existence of solution and iterative approximation of a system of generalized variational-like inclusion problems in semi-inner product spaces

Filomat ◽  
2017 ◽  
Vol 31 (19) ◽  
pp. 6051-6070
Author(s):  
Mohd Bhat ◽  
Bisma Zahoor
Keyword(s):  
Iterative Algorithm ◽  
Monotone Operators ◽  
Existence Of Solution ◽  
Inner Product ◽  
Operator Technique ◽  
Product Spaces ◽  
Iterative Approximation ◽  
Generalized Resolvent ◽  
Inclusion Problems ◽  
Inner Product Spaces

In this paper, we consider the system of generalized variational-like inclusion problems in semi-inner product spaces. We define a class of (H,?)-?-monotone operators and its associated class of generalized resolvent operators. Further, using generalized resolvent operator technique, we give the existence of solution of the generalized variational-like inclusion problems. Furthermore, we suggest an iterative algorithm and give the convergence analysis of the sequences generated by the iterative algorithm. The results presented in this paper extend and unify the related known results in the literature.

scholarly journals Fuzzy Inner Product Space: Literature Review and a New Approach

Mathematics ◽  
2021 ◽  
Vol 9 (7) ◽  
pp. 765
Author(s):  
Lorena Popa ◽  
Lavinia Sida
Keyword(s):  
Literature Review ◽  
Product Space ◽  
Inner Product Space ◽  
Inner Product ◽  
Product Spaces ◽  
Comprehensive Overview ◽  
New Approach ◽  
Inner Product Spaces ◽  
Product Function ◽  
Suitable Definition

The aim of this paper is to provide a suitable definition for the concept of fuzzy inner product space. In order to achieve this, we firstly focused on various approaches from the already-existent literature. Due to the emergence of various studies on fuzzy inner product spaces, it is necessary to make a comprehensive overview of the published papers on the aforementioned subject in order to facilitate subsequent research. Then we considered another approach to the notion of fuzzy inner product starting from P. Majundar and S.K. Samanta’s definition. In fact, we changed their definition and we proved some new properties of the fuzzy inner product function. We also proved that this fuzzy inner product generates a fuzzy norm of the type Nădăban-Dzitac. Finally, some challenges are given.

Triangle Congruence Characterizations of Inner Product Spaces

1989 ◽  
Vol 144 (1) ◽  
pp. 81-86
Author(s):  
Charles R. Diminnie ◽  
Edward Z. Andalafte ◽  
Raymond W. Freese
Keyword(s):  
Inner Product ◽  
Product Spaces ◽  
Inner Product Spaces
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