Fixed point results for multivalued mappings on a sequence in a closed ball with applications

Abstract

In this paper, we establish fixed point results for semi α * -admissible multivalued mappings satisfying a contractive condition of Reich type only for the elements in a sequence contained in closed ball in a complete dislocated metric space. As an application, we derive some new fixed point theorems for ordered metric space and metric space endowed with a graph. An example has been constructed to demonstrate the novelty of our results. Our results unify, extend, and generalize several comparable results in the existing literature.

Fixed Point Results for the Family of Multivalued F-Contractive Mappings on Closed Ball in Complete Dislocated b-Metric Spaces

“…Nadler [1] initiated the study of fixed point theorems for the multivalued mappings. Due to its significance, a large number of authors have proved many interesting multiplications of his result (see [2][3][4][5][6][7][8]).…”

Approximation of an Additive ϱ1,ϱ2-Random Operator Inequality

“…In [16,17], the authors studied the stability problem for fractional equations. Next, Cȃdariu et al [18][19][20] applied the fixed point method to solve the stability problem, and their work was continued by Keltouma et al [21], Park et al [22,23], Jung and Lee [24], and Brzdȩk and Ciepliński [25], see also [26,27].…”

Ekeland’s Variational Principle and Minimization Takahashi’s Theorem in Generalized Metric Spaces

“…Then, there exists y ∈ Z such that f (y) ≤ f (x); d(x, y) ≤ 1 and f (z) > f (y) − d(y, z) for all y = z. Now, we study generalized metric spaces and their properties, for more details and application, we refer to [7,[14][15][16][17][18][19][20][21][22][23].…”