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11 results on '"Nallaselli, Gunasekaran"'

2. Fixed Point Theorem for Orthogonal (varphi, psi)-(Lambda, delta, Upsilon)-Admissible Multivalued Contractive Mapping in Orthogonal Metric Spaces.

Author

Nallaselli, Gunasekaran and Gnanaprakasam, Arul Joseph

Subjects
*SET-valued maps
Abstract

In the current research, we represent a novel class of multivalued contractive mappings that are cyclic orthogonal (φ, ψ) − (Λ, δ, Υ)-admissible. In the framework of O-complete metric spaces, we establish the fixed point results for these new cyclic orthogonal (φ, ψ) − (Λ, δ, Υ)-admissible contractive mappings. [ABSTRACT FROM AUTHOR]

Published
2023

4. Fixed Point Results via Orthogonal (α − −)-Contraction in Orthogonal Complete Metric Space.

Author

Liu, Xiaolan, Nallaselli, Gunasekaran, Haq, Absar Ul, Gnanaprakasam, Arul Joseph, and Baloch, Imran Abbas

Subjects
*METRIC spaces, *DIFFERENTIAL equations, *INTEGRAL equations, *ANALYTICAL solutions, *CONTRACTIONS (Topology), *SYMMETRY
Abstract

In this publication, we establish a suitable symmetry structure for orthogonal (α − y − G) -contractive mappings and prove fixed point results for an orthogonal (α − y − G) -contractive via orthogonal metric spaces. We give an application to strengthen our main results from the existing literature to prove the existence of a unique analytical solution to the differential equation by converting it into an integral equation through fixed point analysis. [ABSTRACT FROM AUTHOR]

Published
2023
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9. Solution of Nonlinear Fredholm Integral Equations on Almost Z⊥-Contraction

Author

Nallaselli, Gunasekaran, Gnanaprakasam, Arul Joseph, Mani, Gunaseelan, Javed, Khalil, and Almalki, Yahya

Subjects
Article Subject
Abstract

In this manuscript, we develop an orthogonal to basically Z-contraction and demonstrate various fixed point theorems of nonlinear Fredholm integral equation solutions in such a contraction. By using these ideas of discovering the fixed point theorems, we can also build the application of the Fredholm integral equation.

Published
2023
Full Text
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