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@article{207566,
        author = {Virendra Kumar Saket and Dr. Dhirendra Kumar Singh},
        title = {Comparative Analysis of Contractive Conditions in 2-Metric Spaces: Extensions of Lateef’s Theorem},
        journal = {International Journal of Innovative Research in Technology},
        year = {2026},
        volume = {13},
        number = {3},
        pages = {1722-1725},
        issn = {2349-6002},
        url = {https://ijirt.org/article?manuscript=207566},
        abstract = {Fixed point theory in 2-metric spaces has been an active area of research since the pioneering work of Gähler (1963) and subsequent contributions by Naidu and Prasad (1986), Iseki (1975), and others. Building upon the recent results of Lateef (2018), who established fixed point theorems in 2-metric spaces under Nesic-type contractive conditions, this paper aims to present further extensions and refinements of contractive mappings in complete 2-metric spaces. By employing generalized contractive inequalities and adapting techniques from Singh (1979) and Lohani & Badshah (1997), we derive new fixed point results that unify and strengthen several existing theorems. These results not only broaden the scope of Nesic-type contractions but also provide a comparative framework for analyzing common fixed points of weakly commuting and orbitally continuous mappings. The findings contribute to the ongoing development of fixed point theory in abstract spaces and highlight its potential applications in mathematics and applied sciences.},
        keywords = {Fixed point, 2-metric spaces, contractive conditions, weakly commuting mappings, orbital continuity.},
        month = {August},
        }