Research Article

FIXED POINT ANALYSIS IN QUASI-PARTIAL METRIC SPACES USING $w-$INTERPOLATIVE HARDY-ROGERS TYPE CONTRACTIONS

Volume: 16 Number: 4 April 7, 2026

FIXED POINT ANALYSIS IN QUASI-PARTIAL METRIC SPACES USING $w-$INTERPOLATIVE HARDY-ROGERS TYPE CONTRACTIONS

Abstract

By using Interpolative Hardy-Rogers type contraction via $w-$admissibility approach in the framework of quasi-partial metric space, we introduce a new property that makes it convenient to investigate the existence and uniqueness of fixed point theorems.

Keywords

References

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  3. [3] Czerwik, S., (1993), Contraction mappings in b-metric spaces, Acta Math. Univ. Ostrav., 1 (1), pp. 5–11.
  4. [4] Sharma, N., Mishra, V. N., Mishra, L. N., Almusawa, H., (2021), Endpoint approximation of standard three-step multivalued iteration algorithm for nonexpansive mappings, Appl. Math. Inf. Sci., 15, pp. 73–81.
  5. [5] Sharma, N., Mishra, L. N., Mishra, V. N., Pandey, S., (2020), Solution of delay differential equation via $N_v^1$ iteration algorithm, Eur. J. Pure Appl. Math., 15, pp. 1110–1130.
  6. [6] Sharma, N., Dutta, H., (2021), Generalized multiplicative nonlinear elastic matching distance measure and fixed point approximation, Math. Methods Appl. Sci., pp. 1–17.
  7. [7] Sharma, N., Almusawa, H., Hammad, H. A., (2021), Approximation of the fixed point for unified three-step iterative algorithm with convergence analysis in Busemann spaces, Axioms., pp. 1–11.
  8. [8] Sharma, N., Mishra, L. N., (2021), Multi-valued analysis of CR iterative process in Banach spaces, Springer, New York.

Details

Primary Language

English

Subjects

Operator Algebras and Functional Analysis, Topology

Journal Section

Research Article

Publication Date

April 7, 2026

Submission Date

October 21, 2024

Acceptance Date

November 12, 2025

Published in Issue

Year 2026 Volume: 16 Number: 4

APA
Sarma, M., Mushtaq, A., Mongia, A., & Mongia, A. (2026). FIXED POINT ANALYSIS IN QUASI-PARTIAL METRIC SPACES USING $w-$INTERPOLATIVE HARDY-ROGERS TYPE CONTRACTIONS. TWMS Journal of Applied and Engineering Mathematics, 16(4), 510-520. https://izlik.org/JA25EA33HP
AMA
1.Sarma M, Mushtaq A, Mongia A, Mongia A. FIXED POINT ANALYSIS IN QUASI-PARTIAL METRIC SPACES USING $w-$INTERPOLATIVE HARDY-ROGERS TYPE CONTRACTIONS. JAEM. 2026;16(4):510-520. https://izlik.org/JA25EA33HP
Chicago
Sarma, Mrinal, Aadil Mushtaq, Annjan Mongia, and Anupal Mongia. 2026. “FIXED POINT ANALYSIS IN QUASI-PARTIAL METRIC SPACES USING $w-$INTERPOLATIVE HARDY-ROGERS TYPE CONTRACTIONS”. TWMS Journal of Applied and Engineering Mathematics 16 (4): 510-20. https://izlik.org/JA25EA33HP.
EndNote
Sarma M, Mushtaq A, Mongia A, Mongia A (April 1, 2026) FIXED POINT ANALYSIS IN QUASI-PARTIAL METRIC SPACES USING $w-$INTERPOLATIVE HARDY-ROGERS TYPE CONTRACTIONS. TWMS Journal of Applied and Engineering Mathematics 16 4 510–520.
IEEE
[1]M. Sarma, A. Mushtaq, A. Mongia, and A. Mongia, “FIXED POINT ANALYSIS IN QUASI-PARTIAL METRIC SPACES USING $w-$INTERPOLATIVE HARDY-ROGERS TYPE CONTRACTIONS”, JAEM, vol. 16, no. 4, pp. 510–520, Apr. 2026, [Online]. Available: https://izlik.org/JA25EA33HP
ISNAD
Sarma, Mrinal - Mushtaq, Aadil - Mongia, Annjan - Mongia, Anupal. “FIXED POINT ANALYSIS IN QUASI-PARTIAL METRIC SPACES USING $w-$INTERPOLATIVE HARDY-ROGERS TYPE CONTRACTIONS”. TWMS Journal of Applied and Engineering Mathematics 16/4 (April 1, 2026): 510-520. https://izlik.org/JA25EA33HP.
JAMA
1.Sarma M, Mushtaq A, Mongia A, Mongia A. FIXED POINT ANALYSIS IN QUASI-PARTIAL METRIC SPACES USING $w-$INTERPOLATIVE HARDY-ROGERS TYPE CONTRACTIONS. JAEM. 2026;16:510–520.
MLA
Sarma, Mrinal, et al. “FIXED POINT ANALYSIS IN QUASI-PARTIAL METRIC SPACES USING $w-$INTERPOLATIVE HARDY-ROGERS TYPE CONTRACTIONS”. TWMS Journal of Applied and Engineering Mathematics, vol. 16, no. 4, Apr. 2026, pp. 510-2, https://izlik.org/JA25EA33HP.
Vancouver
1.Mrinal Sarma, Aadil Mushtaq, Annjan Mongia, Anupal Mongia. FIXED POINT ANALYSIS IN QUASI-PARTIAL METRIC SPACES USING $w-$INTERPOLATIVE HARDY-ROGERS TYPE CONTRACTIONS. JAEM [Internet]. 2026 Apr. 1;16(4):510-2. Available from: https://izlik.org/JA25EA33HP