Abstract:
The purpose of this paper is to establish some coupled fixed point theorems for a self mapping satisfying certain rational type contractions along with strict mixed monotone property in a metric space endowed with partial order. Also, we have given the result of existence and uniqueness of a coupled fixed point for the mapping. This result generalize and extend several well known results in the literature.
This publication is cited in the following 15 articles:
N. Seshagiri Rao, Ahmad Aloqaily, Nabil Mlaiki, “Results pertaining to fixed points in ordered metric spaces with auxiliary functions and application to integral equation”, MATH, 9:5 (2024), 10832
Nicola Fabiano, “Remarks on: “Generalized contractions to coupled fixed point theorems in partially ordered metric spaces””, Zhurn. SFU. Ser. Matem. i fiz., 15:1 (2022), 13–16
Seshagiri Rao N., Kalyani K., “Some Fixed Point Results of (Phi, Psi, Theta,)-Contractive Mappings in Ordered B-Metric Spaces”, Math. Sci., 16:2 (2022), 163–175
N. Seshagiri Rao, Karusala Kalyani, Tekle Gemechu, “Coincidence point results and its applications in partially ordered metric spaces”, Zhurn. SFU. Ser. Matem. i fiz., 15:3 (2022), 397–407
Karusala Kalyani, Namana Seshagiri Rao, Lakshmi Narayan Mishra, “Coupled fixed points theorems for generalized weak contractions in ordered b-metric spaces”, Asian-European J. Math., 15:03 (2022)
N. Seshagiri Rao, K. Kalyani, “Variations of generalized weak contractions in partially ordered b-metric space”, BMC Res Notes, 15:1 (2022)
K. Kalyani, N. Seshagiri Rao, “Fixed point results of weakly contraction mappings in partially ordered b-metric spaces”, BMC Res Notes, 15:1 (2022)
N. Seshagiri Rao, “Coupled fixed points of (ϕˆ,ψˆ,θˆ)-contractive mappings in partially ordered b-metric spaces”, Heliyon, 8:12 (2022), e12442
N. Seshagiri Rao, K. Kalyani, K. Prasad Prasad, “Coincidence Point Results in Ordered Metric Spaces and its Application”, Punjab Univ. j. math., 2022, 33
K. Kalyani, N. Seshagiri Rao, B. Mitiku, “On fixed point theorems of monotone functions in ordered metric spaces”, J. Anal., 29:4 (2021), 1237–1250
N. S. Rao, K. Kalyani, “Generalized fixed point results of rational type contractions in partially ordered metric spaces”, BMC Res. Notes, 14:1 (2021), 390
N. Seshagiri Rao, K. Kalyani, K. Prasad, “Fixed point results for weak contractions in partially ordered b-metric space”, BMC Res. Notes, 14:1 (2021), 263
Kalyani K, Seshagiri Rao NAMANA, Belay MİTİKU, “Some fixed point results in ordered $b$-metric space with auxiliary functions”, Advances in the Theory of Nonlinear Analysis and its Application, 5:3 (2021), 421
Mitiku B., Karusala K., Namana S.R., “Some Fixed Point Results of Generalized (Phi, Psi)-Contractive Mappings in Ordered B-Metric Spaces”, BMC Res. Notes, 13:1 (2020), 537
Rao N.S., Kalyani K., “Unique Fixed Point Theorems in Partially Ordered Metric Spaces”, Heliyon, 6:11 (2020), e05563
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