Distance in cone metric spaces and common fixed point theorems

AbstractIn this paper, we define a distance called c-distance on a cone metric space and prove a new common fixed point theorem by using the distance

Common Fixed Point Theorems for Four Maps in G-Partial Metric Spaces

The common fixed point principle for two set of maps satisfying specified contractive conditions in cone metric spaces is proved in the context of G-partial metric space and none of the maps involved therein is continuous. Our research outcome extends well known similar results available in the literature

Common fixed-point theorems and c-distance in ordered cone metric spaces

We present a generalization of several fixed and common fixed point theorems on c -distance in ordered cone metric spaces. In this way, we improve and generalize various results existing in the literature.Наведено узагальнення деяких теорем про нерухому точку та спільну нерухому точку для с-відстані в упорядкованих конічних метричних просторах. Таким чином, покращено та узагальнено різноманітні результати, що наведені в літературі

Contractive Mapping in Generalized, Ordered Metric Spaces with Application in Integral Equations

We consider the concept of Ω-distance on a complete, partially ordered -metric space and prove some fixed point theorems. Then, we present some applications in integral equations of our obtained results

Common fixed and coincidence point theorems for nonlinear self-mappings in cone b b -metric spaces using φ \varphi -mapping

In this paper, by means of a mapping $\varphi\in\Phi(P, P_1)$, some new common fixed and coincidence point theorems for four and six nonlinear self-mappings in cone $b$-metric spaces are established, respectively. Also, some examples are given to prove the effectiveness of our results. And with some remarks stating that our results complement and sharply improve some related results in the literature

Approximation of common fixed points in 2-Banach spaces with applications

[EN] The purpose of this paper is to establish the existence and uniqueness of common fixed points of a family of self-mappings satisfying generalized rational contractive condition in 2-Banach spaces. An example is included to justify our results. We approximate the common fixed point by Mann and Picard type iteration schemes. Further, an application to well-posedness of the common fixed point problem is given. The presented results generalize many known results on 2-Banach spaces.The authors thank the reviewers for valuable comments. The first author D. Ramesh Kumar would like to thank the University Grants Commission, New Delhi, India for providing the financial support in preparation of this manuscript.Kumar, DR.; Pitchaimani, M. (2019). Approximation of common fixed points in 2-Banach spaces with applications. Applied General Topology. 20(1):43-55. https://doi.org/10.4995/agt.2019.9168SWORD4355201M. Abbas, B. E. Rhoades and T. 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Ramesh Kumar, On Nadler type results in ultrametric spaces with application to well-posedness, Asian-European Journal of Mathematics 10, no. 4(2017), 1750073(1-15). https://doi.org/10.1142/s1793557117500735M. Pitchaimani and D. Ramesh Kumar, Generalized Nadler type results in ultrametric spaces with application to well-posedness, Afr. Mat. 28 (2017), 957-970. https://doi.org/10.1007/s13370-017-0496-6V. Popa, Well-Posedness of fixed problem in compact metric space, Bull. Univ. Petrol-Gaze, Ploicsti, sec. Mat Inform. Fiz. 60, no. 1 (2008), 1-4.D. Ramesh Kumar and M. Pitchaimani, Set-valued contraction mappings of Presic-Reichtype in ultrametric spaces, Asian-European Journal of Mathematics 10, no. 4 (2017), 1750065 (1-15). https://doi.org/10.1142/s1793557117500656D. Ramesh Kumar and M. Pitchaimani, A generalization ofset-valued Presic-Reich type contractions in ultrametric spaces with applications, J. 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