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We introduce some new type of admissible mappings and prove a cou- pled coincidence point theorem by using newly de ned concepts for generalized compatible pair of mappings satisfying α-ψ contraction on partially ordered met- ric spaces. We also prove the uniqueness of a coupled xed point for such mappings in this setup. Furthermore, we give an example and an application to integral equa- tions to demonstrate the applicability of the obtained results. Our results generalize some recent results in the literature.
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참고문헌 (20)
참고문헌 신청
V. Berinde / 2012 / Coupled fixed point theorems for ${\varphi}$ - contractive mixed monotone mappings in partially ordered metric spaces / Nonlinear Anal. 75:3218~3228
V. Berinde / 2012 / Coupled fixed point theorems for generalized symmetric Meir-Keeler contractions in ordered metric spaces / Fixed Point Theory Appl. 2012:115
T. G. Bhaskar / 2006 / Fixed point theorems in partially ordered metric spaces and applications / Nonlinear Anal. 65(7):1379~1393
L. Ciric / 2012 / Coupled fixed point theorems for gener- alized Mizoguchi-Takahashi contractions with applications / Fixed Point Theory Appl. 2012:51
B.S. Choudhury / 2010 / A coupled coincidence point results in partially ordered metric spaces for compatible mappings / Nonlinear Anal. 73:2524~2531
V. Berinde / 2012 / Coupled fixed point theorems for generalized symmetric Meir-Keeler contractions in ordered metric spaces / Fixed Point Theory Appl. 2012:115
T. G. Bhaskar / 2006 / Fixed point theorems in partially ordered metric spaces and applications / Nonlinear Anal. 65(7):1379~1393
L. Ciric / 2012 / Coupled fixed point theorems for gener- alized Mizoguchi-Takahashi contractions with applications / Fixed Point Theory Appl. 2012:51
B.S. Choudhury / 2010 / A coupled coincidence point results in partially ordered metric spaces for compatible mappings / Nonlinear Anal. 73:2524~2531
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