D. Ramesh Kumar

Bio: D. Ramesh Kumar is an academic researcher from University of Madras. The author has contributed to research in topics: Fixed point & Ultrametric space. The author has an hindex of 4, co-authored 9 publications receiving 36 citations. Previous affiliations of D. Ramesh Kumar include VIT University.

Set-valued contraction mappings of Prešić–Reich type in ultrametric spaces

Abstract: In this paper, we introduce the concept of set-valued Presic–Reich type contractive condition in ultrametric spaces and establish the existence and uniqueness of coincidence and common fixed point of a set-valued and a single-valued mapping besides furnishing illustrative examples to highlight the realized improvements in the context of ultrametric spaces. Our results generalize and extend some known results in the literature.

A generalization of set-valued Prešić–Reich type contractions in ultrametric spaces with applications

Abstract: In this paper, we study the existence and uniqueness of coincidence and common fixed point of a set-valued and a single-valued mapping satisfying generalized set-valued Presic–Reich type contractive condition in ultrametric spaces without the property of completeness. As an application, the well-posedness of a common fixed point problem is proved. An example is given to illustrate our results. Our results generalize and extend the results of Presic–Reich in the context of ultrametric spaces.

On construction of fixed point theory under implicit relation in hilbert spaces

Abstract: The aim of this paper is to study existence and uniqueness of common fixed point for a family of self-mappings satisfying implicit relation in a Hilbert space. We also prove well-posedness of a common fixed point problem.

Common and coincidence fixed point theorems for asymptotically regular mappings in 2-banach spaces

Abstract: In this article, we study existence of common and coincidence fixed points for two self-mappings satisfying many contractive conditions on a 2-Banach space. We also prove well-posedness of a common fixed point problem. The results we present, generalize several well known results in the literature.

Fixed point for set-valued mappings satisfying an implicit relation in partially ordered metric spaces

Abstract: In this paper, we will find out the sufficient conditions for the existence of coupled common fixed points of two set--valued mappings $F$ and $G$ on partially ordered complete metric space $(X,\preceq,d)$.

A generalization of set-valued Prešić–Reich type contractions in ultrametric spaces with applications

Abstract: In this paper, we study the existence and uniqueness of coincidence and common fixed point of a set-valued and a single-valued mapping satisfying generalized set-valued Presic–Reich type contractive condition in ultrametric spaces without the property of completeness. As an application, the well-posedness of a common fixed point problem is proved. An example is given to illustrate our results. Our results generalize and extend the results of Presic–Reich in the context of ultrametric spaces.

Advanced courses of mathematical analysis I

Abstract: Advanced courses of mathematical analysis I , Advanced courses of mathematical analysis I , کتابخانه دیجیتال جندی شاپور اهواز