International Journal of Research and Innovation in Applied Science (IJRIAS)
Fixed Point Theorems for Reich-Type Cyclic Contraction in Partial Symmetric Spaces
Published July 13, 2026 • Vol. 11, Issue 6, pp. 3021–3026Open Access
DOI: 10.51584/IJRIAS.2026.11060227
Abstract
In this paper, we establish fixed point theorems for Reich-type cyclic contraction mappings in partial symmetric spaces. Under suitable completeness assumptions, we prove the existence and uniqueness of fixed points for such mappings. The obtained results extend and generalize several existing fixed point theorems for cyclic contractions in metric-type spaces. These findings contribute to the theory of partial symmetric spaces and provide a framework for further applications in nonlinear analysis.
Keywords: Fixed point, Reich-type cyclic contraction, partial symmetric space, complete space, Banach contraction principle
| Journal | International Journal of Research and Innovation in Applied Science (IJRIAS) |
|---|---|
| ISSN | 2454-6194 |
| Volume / Issue | Volume 11, Issue 6 |
| Pages | 3021–3026 |
| Publication date | July 13, 2026 |
| DOI | 10.51584/IJRIAS.2026.11060227 |
| Publisher | RSIS International |
| License | Open Access |
How to cite this article
P. K. Eswari (2026). Fixed Point Theorems for Reich-Type Cyclic Contraction in Partial Symmetric Spaces. International Journal of Research and Innovation in Applied Science (IJRIAS), 11(6), 3021-3026. https://doi.org/10.51584/IJRIAS.2026.11060227
BibTeX
@article{P2026,
title = {Fixed Point Theorems for Reich-Type Cyclic Contraction in Partial Symmetric Spaces},
author = {P. K. Eswari},
journal = {International Journal of Research and Innovation in Applied Science (IJRIAS)},
volume = {11},
number = {6},
pages = {3021--3026},
year = {2026},
doi = {10.51584/IJRIAS.2026.11060227},
publisher = {RSIS International}
}