This paper investigates fixed-point theorems for mappings satisfying (ψ, φ)-weak contraction conditions within the framework of Branciari-type generalized metric spaces. These spaces ex- tend the concept of standard metric spaces by relaxing the triangular inequality, thus providing a broader and more flexible structure to study the existence and uniqueness of fixed points. The results presented in this study generalize and unify several classical fixed-point theorems, offering new insights into the behavior of such mappings under weaker contractive conditions. A signifi- cant portion of the paper is dedicated to providing illustrative examples, ensuring the theoretical results’ applicability and demonstrating their relevance to practical scenarios. These examples not only validate the conditions imposed but also highlight the utility of (ψ, φ)-weak contractions in solving real-world problems. By bridging the gap between abstract mathematical theory and practical application, this work contributes to advancing fixed-point theory in generalized metric spaces, paving the way for further developments in this field.
Aage, C., & Karande, A. (2025). ON COMMON FIXED POINT THEOREMS FOR (\psi, \phi)-WEAK CONTRACTION IN BRANCIARI TYPE GNERALIZED METRIC SPACES. Electronic Journal of Mathematical Analysis and Applications, 13(2), 1-9. doi: 10.21608/ejmaa.2025.354752.1313
MLA
Chintaman Tukaram Aage; Anuprita Sanjay Karande. "ON COMMON FIXED POINT THEOREMS FOR (\psi, \phi)-WEAK CONTRACTION IN BRANCIARI TYPE GNERALIZED METRIC SPACES", Electronic Journal of Mathematical Analysis and Applications, 13, 2, 2025, 1-9. doi: 10.21608/ejmaa.2025.354752.1313
HARVARD
Aage, C., Karande, A. (2025). 'ON COMMON FIXED POINT THEOREMS FOR (\psi, \phi)-WEAK CONTRACTION IN BRANCIARI TYPE GNERALIZED METRIC SPACES', Electronic Journal of Mathematical Analysis and Applications, 13(2), pp. 1-9. doi: 10.21608/ejmaa.2025.354752.1313
VANCOUVER
Aage, C., Karande, A. ON COMMON FIXED POINT THEOREMS FOR (\psi, \phi)-WEAK CONTRACTION IN BRANCIARI TYPE GNERALIZED METRIC SPACES. Electronic Journal of Mathematical Analysis and Applications, 2025; 13(2): 1-9. doi: 10.21608/ejmaa.2025.354752.1313
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