Generalized Kannan type fixed point theorems in equivalent distance spaces

Anwar  Bataihah

doi:10.5269/bspm.76772

Anwar Bataihah Departamento de Matemática, Faculdade de Ciências, Universidade Jadara, Irbid, Jordânia

Resumo

This paper develops new fixed point theorems for self-maps on metric spaces endowed with EA,B-distances. We consider families of operators {T t} that satisfy a generalized Kannan-type contraction condition and establish corresponding existence and uniqueness fixed point results under suitable assumptions on the parameters involved. The proposed framework generalizes classical fixed point theory while retaining its versatility and wide range of applications. The EA,B-distance structure proves particularly effective for analyzing nonlinear operators in functional analysis. An illustrative example demonstrates the verifiability
and practical utility of the proposed theoretical conditions.

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