Geodesic
Approximating solutions of general class of variational inclusions involving generalized αiβj-(Hp,φ)-η-accretive mappings
Filomat, Tome 37 (2023) no. 19, p. 6255

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The present research is an attempt to define a class of generalized α i β j-(H p , φ)-η-accretive mappings as well as it is a study of its associated class of proximal-point mappings. The generalized α i β j-(H p, φ)-η-accretive mappings is the sum of two symmetric accretive mappings and an extension of the generalized αβ-H(., .)-accretive mapping [28]. Further the research is a discussion on graph convergence of generalized α i β j-(H p, φ)-η-accretive mappings and its application includes a set-valued variational-like inclusion problem (SVLIP, in short) in semi inner product spaces. Furthermore an iterative algorithm is proposed, and an attempt is made to discuss the convergence analysis of the sequences generated from the proposed iterative algorithm. An example is constructed that demonstrate few graphics for the convergence of proximal-point mapping. Our results can be viewed as a refinement and generalization of some known results in the literature.
DOI : 10.2298/FIL2319255G
Classification : 49J40, 47H19
Keywords: Generalized αiβj-(Hp, φ)-η-accretive mappings, proximal point mapping, graph convergence, iterative algorithms, variational-like inclusions, semi inner product spaces 
Sanjeev Gupta; Laxmi Rathour. Approximating solutions of general class of variational inclusions involving generalized αiβj-(Hp,φ)-η-accretive mappings. Filomat, Tome 37 (2023) no. 19, p. 6255 . doi: 10.2298/FIL2319255G
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     author = {Sanjeev Gupta and Laxmi Rathour},
     title = {Approximating solutions of general class of variational inclusions involving generalized {\ensuremath{\alpha}i\ensuremath{\beta}j-(Hp,\ensuremath{\varphi})-\ensuremath{\eta}-accretive} mappings},
     journal = {Filomat},
     pages = {6255 },
     year = {2023},
     volume = {37},
     number = {19},
     doi = {10.2298/FIL2319255G},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2319255G/}
}
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